Lujan, Richard E. (Santa Fe, NM)
2001-01-01
A mechanical gravity brake that prevents hoisted loads within a shaft from free-falling when a loss of hoisting force occurs. A loss of hoist lifting force may occur in a number of situations, for example if a hoist cable were to break, the brakes were to fail on a winch, or the hoist mechanism itself were to fail. Under normal hoisting conditions, the gravity brake of the invention is subject to an upward lifting force from the hoist and a downward pulling force from a suspended load. If the lifting force should suddenly cease, the loss of differential forces on the gravity brake in free-fall is translated to extend a set of brakes against the walls of the shaft to stop the free fall descent of the gravity brake and attached load.
Norgren, D.U.
1982-09-23
A balanced braking system comprising a plurality of braking assemblies located about a member to be braked. Each of the braking assemblies consists of a spring biased piston of a first material fitted into a body of a different material which has a greater contraction upon cooling than the piston material. The piston is provided with a recessed head portion over which is positioned a diaphragm and forming a space therebetween to which is connected a pressurized fluid supply. The diaphragm is controlled by the fluid in the space to contact or withdraw from the member to be braked. A cooling means causes the body within which the piston is fitted to contract more than the piston, producing a tight shrink fit therebetween. The braking system is particularly applicable for selectively braking an arbor of an electron microscope which immobilizes, for example, a vertically adjustable low temperature specimen holder during observation. The system provides balanced braking forces which can be easily removed and re-established with minimal disturbance to arbor location.
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on Delicious Rank EERE: Alternative Fuels Data Center HomeVehicle Replacement VouchersBraking
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on Delicious Rank EERE: Alternative Fuels Data Center HomeVehicle Replacement VouchersBraking button highlighted Stopped
Combined hydraulic and regenerative braking system
Venkataperumal, Rama R. (Troy, MI); Mericle, Gerald E. (Mount Clemens, MI)
1981-06-02
A combined hydraulic and regenerative braking system and method for an electric vehicle, with the braking system being responsive to the applied hydraulic pressure in a brake line to control the braking of the vehicle to be completely hydraulic up to a first level of brake line pressure, to be partially hydraulic at a constant braking force and partially regenerative at a linearly increasing braking force from the first level of applied brake line pressure to a higher second level of brake line pressure, to be partially hydraulic at a linearly increasing braking force and partially regenerative at a linearly decreasing braking force from the second level of applied line pressure to a third and higher level of applied line pressure, and to be completely hydraulic at a linearly increasing braking force from the third level to all higher applied levels of line pressure.
Hoppie, Lyle O. (Birmingham, MI)
1982-01-12
Disclosed are several embodiments of a regenerative braking device for an automotive vehicle. The device includes a plurality of rubber rollers (24, 26) mounted for rotation between an input shaft (14) connectable to the vehicle drivetrain and an output shaft (16) which is drivingly connected to the input shaft by a variable ratio transmission (20). When the transmission ratio is such that the input shaft rotates faster than the output shaft, the rubber rollers are torsionally stressed to accumulate energy, thereby slowing the vehicle. When the transmission ratio is such that the output shaft rotates faster than the input shaft, the rubber rollers are torsionally relaxed to deliver accumulated energy, thereby accelerating or driving the vehicle.
Variable ratio regenerative braking device
Hoppie, Lyle O. (Birmingham, MI)
1981-12-15
Disclosed is a regenerative braking device (10) for an automotive vehicle. The device includes an energy storage assembly (12) having a plurality of rubber rollers (26, 28) mounted for rotation between an input shaft (36) and an output shaft (42), clutches (38, 46) and brakes (40, 48) associated with each shaft, and a continuously variable transmission (22) connectable to a vehicle drivetrain and to the input and output shafts by the respective clutches. The rubber rollers are torsionally stressed to accumulate energy from the vehicle when the input shaft is clutched to the transmission while the brake on the output shaft is applied, and are torsionally relaxed to deliver energy to the vehicle when the output shaft is clutched to the transmission while the brake on the input shaft is applied. The transmission ratio is varied to control the rate of energy accumulation and delivery for a given rotational speed of the vehicle drivetrain.
Brake System Modeling, Control And Integrated Brake/throttle Switching Phase I
Hedrick, Karl; Et. al.,
1997-01-01
and vacuum chambers, the intake manifold, the secondary brake line at the master cylinder and the front brake on the same hydraulic
Brake Defect Causation and Abatement Study (BDCAS)
cost with proper re- pairs being made the first time and reduction in out-of-service vehicles #12; corrective actions and validate true abatement of initial out-of- service causation the FMCSA began the BDCAS brake efficiency data as new brakes are burnished; and where possible, collect brake efficiency data
Commercial Motor Vehicle Brake Assessment Tools
Commercial Motor Vehicle Brake Assessment Tools Commercial Motor Vehicle Roadside Technology to deceleration in g's Passing score: BE43.5 · Enforcement tool for only 3 years. · Based solely on brake Brake Research · CMVRTC research built on these enforcement tools Correlation Study Level-1 / PBBT
Brake blending strategy for a hybrid vehicle
Boberg, Evan S. (Hazel Park, MI)
2000-12-05
A hybrid electric powertrain system is provided including a transmission for driving a pair of wheels of a vehicle and a heat engine and an electric motor/generator coupled to the transmission. A friction brake system is provided for applying a braking torque to said vehicle. A controller unit generates control signals to the electric motor/generator and the friction brake system for controllably braking the vehicle in response to a drivers brake command. The controller unit determines and amount of regenerative torque available and compares this value to a determined amount of brake torque requested for determining the control signals to the electric motor/generator and the friction brake system.
Commercial Motor Vehicle Brake-Related Research
Commercial Motor Vehicle Brake-Related Research Commercial Motor Vehicle Roadside Technology Corridor Safety Technology Showcase October 14, 2010 Commercial Motor Vehicle Roadside Technology Corridor
Multidisciplinary design optimization of an automotive magnetorheological brake design
Park, Edward
Multidisciplinary design optimization of an automotive magnetorheological brake design Edward J to the elec- tromagnet. Key issues involved in the initial design of the automotive MR brake are presented: Magnetorheological fluid; Automotive brake; Finite element analysis; Computational fluid dynamics; Multidisciplinary
A diagnostic system for air brakes in commercial vehicles
Coimbatore Subramanian, Shankar Ram
2007-09-17
............. 14 4 The S-cam foundation brake ....................... 15 5 A schematic of the drum brake ..................... 16 6 A schematic of the experimental setup ................. 24 7 A sectional view of the treadle valve .................. 26 8 A layout... the disc brake and the drum brake. In this dissertation, the main focus will be restricted to air brake systems that use S-cam drum foundation brakes. A. Background and motivation The safety of vehicles operating on the road depends amongst other things...
Svendborg Brakes | Open Energy Information
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on QA:QA J-E-1 SECTION J APPENDIX E LIST OFAMERICA'SHeavyAgencyTendo New Energy EquipmentSvendborg Brakes Jump to:
TMV Technology Capabilities Brake Stroke Monitor
TMV Technology Capabilities Brake Stroke Monitor Brake monitoring systems are proactive maintenance This technology allows for CMV operators to have knowledge of their steer, drive, and tandem axle group weights setup is required. Current Safety/Enforcement Technologies EOBR (electronic on-board recorder) On
An engine air-brake integration study
Mulchandani, Hiten
2011-01-01
The feasibility of operating an engine air-brake (EAB) integrated with a pylon duct bifurcation in a realistic aircraft engine environment has been analyzed. The EAB uses variable exit guide vanes downstream of a high ...
Method and apparatus for wind turbine braking
Barbu, Corneliu (Laguna Hills, CA); Teichmann, Ralph (Nishkayuna, NY); Avagliano, Aaron (Houston, TX); Kammer, Leonardo Cesar (Niskayuna, NY); Pierce, Kirk Gee (Simpsonville, SC); Pesetsky, David Samuel (Greenville, SC); Gauchel, Peter (Muenster, DE)
2009-02-10
A method for braking a wind turbine including at least one rotor blade coupled to a rotor. The method includes selectively controlling an angle of pitch of the at least one rotor blade with respect to a wind direction based on a design parameter of a component of the wind turbine to facilitate reducing a force induced into the wind turbine component as a result of braking.
Contactless magnetic brake for automotive applications
Gay, Sebastien Emmanuel
2009-05-15
MAGNETIC BRAKE FOR AUTOMOTIVE APPLICATIONS A Dissertation by SEBASTIEN EMMANUEL GAY Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY... May 2005 Major Subject: Electrical Engineering CONTACTLESS MAGNETIC BRAKE FOR AUTOMOTIVE APPLICATIONS A Dissertation by SEBASTIEN EMMANUEL GAY Submitted to Texas A&M University in partial fulfillment of the requirements...
CMV Brake Wear and Performance Test Little is known about the brake
inspections were due to brake defects. Additionally, brake maintenance and repair present a significant cost as part of an 18-month Field Operational Test. Parameters Being Measured The PBBT machine uses in Data, Statistical Analysis Geo-Spatial Information Tools Defense Transportation Energy Policy Analysis
Adaptive controller for regenerative and friction braking system
Davis, Roy I. (Ypsilanti, MI)
1990-01-01
A regenerative and friction braking system for a vehicle having one or more roadwheels driven by an electric traction motor includes a driver responsive device for producing a brake demand signal having a magnitude corresponding to the level of braking force selected by the driver and friction and regenerative brakes operatively connected with the roadwheels of the vehicle. A system according to this invention further includes control means for operating the friction and regenerative braking subsystems so that maximum brake torques sustainable by the roadwheels of the vehicle without skidding or slipping will not be exceeded.
Adaptive controller for regenerative and friction braking system
Davis, R.I.
1990-10-16
A regenerative and friction braking system for a vehicle having one or more road wheels driven by an electric traction motor includes a driver responsive device for producing a brake demand signal having a magnitude corresponding to the level of braking force selected by the driver and friction and regenerative brakes operatively connected with the road wheels of the vehicle. A system according to this invention further includes control means for operating the friction and regenerative braking subsystems so that maximum brake torques sustainable by the road wheels of the vehicle without skidding or slipping will not be exceeded. 8 figs.
Electric vehicle regenerative antiskid braking and traction control system
Cikanek, S.R.
1995-09-12
An antiskid braking and traction control system for an electric or hybrid vehicle having a regenerative braking system operatively connected to an electric traction motor, and a separate hydraulic braking system includes one or more sensors for monitoring present vehicle parameters and a processor, responsive to the sensors, for calculating vehicle parameters defining the vehicle behavior not directly measurable by the sensors and determining if regenerative antiskid braking control, requiring hydraulic braking control, or requiring traction control are required. The processor then employs a control strategy based on the determined vehicle state and provides command signals to a motor controller to control the operation of the electric traction motor and to a brake controller to control fluid pressure applied at each vehicle wheel to provide the appropriate regenerative antiskid braking control, hydraulic braking control, and traction control. 10 figs.
Electric vehicle regenerative antiskid braking and traction control system
Cikanek, Susan R. (Wixom, MI)
1995-01-01
An antiskid braking and traction control system for an electric or hybrid vehicle having a regenerative braking system operatively connected to an electric traction motor, and a separate hydraulic braking system includes one or more sensors for monitoring present vehicle parameters and a processor, responsive to the sensors, for calculating vehicle parameters defining the vehicle behavior not directly measurable by the sensors and determining if regenerative antiskid braking control, requiring hydrualic braking control, or requiring traction control are required. The processor then employs a control strategy based on the determined vehicle state and provides command signals to a motor controller to control the operation of the electric traction motor and to a brake controller to control fluid pressure applied at each vehicle wheel to provide the appropriate regenerative antiskid braking control, hydraulic braking control, and traction control.
Design Restrictions Ground clearance Brake components cannot contact
Provancher, William
of Mechanical Engineering, University of Utah Test Results Heat Test apply pressure to the rotating brake. The truck and brake must be strong but not heavy. · Temperature The brake will generate a lot of heat. The epoxy, wheels and bearings must all be able to withstand high heat. · Testing of Realistic Conditions
Engine brake control in automatic transmission
Hayasaki, K.; Sugano, K.
1988-09-13
This patent describes an engine braking control for a transmission for an automotive vehicle having an engine, the transmission including an input member drivingly coupled to the engine and an output member subject to load from driving wheels of the automotive vehicle, the transmission also including a first rotary member, a second rotary member, a hydraulically operated clutch selectively establishing a drive connection between the first rotary member and the second rotary member, and a one-way clutch arranged in parallel to the hydraulically operated clutch such that when the hydraulically operated clutch is released, the one-way clutch transmits forward torque from the first rotary member to the second rotary member, but interrupts transmission of revers torque to the first rotary member from the second rotary member, the engine braking control comprising: means for providing an engine braking command fluid pressure signal when demanded by a vehicle operator; a valve means for normally discharging hydraulic fluid from the hydraulically operated clutch to deactivate the hydraulically operated clutch, the valve means being fluidly connected to the hydraulically operated clutch, the engine braking command fluid pressure signal providing means and a drain port. The valve means including a valve spool having a first position where the hydraulically operated clutch is allowed to communicate with the drain port to permit discharge of hydraulic fluid therefrom and thus the hydraulically operated clutch is caused to be deactivated and a second position where the hydraulically operated clutch is disconnected from the drain port and allowed to communicate with the engine braking command fluid pressure signal.
Nonlinear analysis of time series of vibration data from a friction brake: SSA, PCA, and MFDFA
Nikolay K. Vitanov; Norbert P. Hoffmann; Boris Wernitz
2014-10-23
We use the methodology of singular spectrum analysis (SSA), principal component analysis (PCA), and multi-fractal detrended fluctuation analysis (MFDFA), for investigating characteristics of vibration time series data from a friction brake. SSA and PCA are used to study the long time-scale characteristics of the time series. MFDFA is applied for investigating all time scales up to the smallest recorded one. It turns out that the majority of the long time-scale dynamics, that is presumably dominated by the structural dynamics of the brake system, is dominated by very few active dimensions only and can well be understood in terms of low dimensional chaotic attractors. The multi-fractal analysis shows that the fast dynamical processes originating in the friction interface are in turn truly multi-scale in nature.
Hybrid Braking System for Non-Drive Axles | Department of Energy
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Braking System for Non-Drive Axles Hybrid Braking System for Non-Drive Axles A hybrid braking system is designed to conserve diesel fuel (or alternative fuels) by using...
Braking system for use with an arbor of a microscope
Norgren, Duane U. (Orinda, CA)
1984-01-01
A balanced braking system comprising a plurality of braking assemblies located about a member to be braked. Each of the braking assemblies consists of a spring biased piston of a first material fitted into a body of a different material which has a greater contraction upon cooling than the piston material. The piston is provided with a recessed head portion over which is positioned a diaphragm and forming a space therebetween to which is connected a pressurized fluid supply. The diaphragm is controlled by the fluid in the space to contact or withdraw from the member to be braked. A cooling device causes the body within which the piston is fitted to contract more than the piston, producing a tight shrink fit therebetween. The braking system is particularly applicable for selectively braking an arbor of an electron microscope which immobilizes, for example, a vertically adjustable low temperature specimen holder during observation. The system provides balanced braking forces which can be easily removed and re-established with minimal disturbance to arbor location.
Development of Diagnostic Algorithms for Air Brakes in Trucks
Dhar, Sandeep
2011-10-21
In this dissertation, we focus on development of algorithms for estimating the severity of air leakage and for predicting the out-of-adjustment of pushrod in an air brake system of heavy commercial vehicles. The leakage of air from the brake system...
A pressure control scheme for air brakes in commercial vehicles
Bowlin, Christopher Leland
2007-04-25
This research is focused on developing a control scheme for regulating the pressure in the brake chamber of an air brake system found in most commercial vehicles like trucks, tractor-trailers and buses. Such a control scheme can be used...
Airbus A320 Braking as Predicate-Action Peter B. Ladkin
Ladkin, Peter B.
to interest us and others in the design of the A320 braking system [FI.93a, FI.93b, FI.93c]. This paper]. The Braking System Design of the A320. The braking system design of the A320 is described in the A320 Flight). The brakes and anti-skid system are described in [FCOM, 1.32.30: Landing Gear: Brakes and Anti
A mathematical model for air brake systems in the presence of leaks
Ramaratham, Srivatsan
2008-10-10
of leaks. Brake systems in trucks are crucial for ensuring the safety of vehicles and passengers on the roadways. Most trucks in the US are equipped with S-cam drum brake systems and they are sensitive to maintenance. Brake defects such as leaks are a major... and schematic of operation. . . . . . . . . . . . . 7 3 A typical drum brake assembly. . . . . . . . . . . . . . . . . . . . . . 8 4 Front and rear brake chambers. . . . . . . . . . . . . . . . . . . . . . 8 5 Automatic slack adjuster construction...
Regenerative braking on bicycles to power LED safety flashers
Collier, Ian M
2005-01-01
This work develops a method for capturing some of the kinetic energy ordinarily lost during braking on bicycles to power LED safety flashers. The system is designed to eliminate: (a) battery changing in popular LED flashers, ...
Park, Edward
Design considerations for an automotive magnetorheological brake Kerem Karakoc, Edward J. Park *, Afzal Suleman Department of Mechanical Engineering, University of Victoria, P.O. Box 3055, STN CSC February 2008 Available online xxxx Keywords: Mechatronic design Magnetorheological fluid Automotive brake
Modeling the pneumatic relay valve of an s-cam air brake
Vilayannur Natarajan, Shankar
2005-08-29
Statistics indicate that defects in brake system contribute significantly to fatal crashes involving commercial vehicles. Hence there is a need for developing preventive and active safety measures for assessing the performance of an air brake system...
Fuzzy logic electric vehicle regenerative antiskid braking and traction control system
Cikanek, S.R.
1994-10-25
An regenerative antiskid braking and traction control system using fuzzy logic for an electric or hybrid vehicle having a regenerative braking system operatively connected to an electric traction motor, and a separate hydraulic braking system includes sensors for monitoring present vehicle parameters and a processor, responsive to the sensors, for calculating vehicle parameters defining the vehicle behavior not directly measurable by the sensor and determining if regenerative antiskid braking control, requiring hydraulic braking control, and requiring traction control are required. The processor then employs fuzzy logic based on the determined vehicle state and provides command signals to a motor controller to control operation of the electric traction motor and to the brake controller to control fluid pressure applied at each vehicle wheel to provide the appropriate regenerative braking control, hydraulic braking control, and traction control. 123 figs.
Fuzzy logic electric vehicle regenerative antiskid braking and traction control system
Cikanek, Susan R. (Wixom, MI)
1994-01-01
An regenerative antiskid braking and traction control system using fuzzy logic for an electric or hybrid vehicle having a regenerative braking system operatively connected to an electric traction motor, and a separate hydraulic braking system includes sensors for monitoring present vehicle parameters and a processor, responsive to the sensors, for calculating vehicle parameters defining the vehicle behavior not directly measurable by the sensor and determining if regenerative antiskid braking control, requiring hydraulic braking control, and requiring traction control are required. The processor then employs fuzzy logic based on the determined vehicle state and provides command signals to a motor controller to control operation of the electric traction motor and to the brake controller to control fluid pressure applied at each vehicle wheel to provide the appropriate regenerative braking control, hydraulic braking control, and traction control.
Braking the Gas in the beta Pictoris Disk
Fern'andez, R; Wu, Y; Brandeker, Alexis; Fern\\'andez, Rodrigo
2006-01-01
(Abridged) The main sequence star beta Pictoris hosts the best studied circumstellar disk to date. Nonetheless, a long-standing puzzle has been around since the detection of metallic gas in the disk: radiation pressure from the star should blow the gas away, yet the observed motion is consistent with Keplerian rotation. In this work we search for braking mechanisms that can resolve this discrepancy. We find that all species affected by radiation force are heavily ionized and dynamically coupled into a single fluid by Coulomb collisions, reducing the radiation force on species feeling the strongest acceleration. For a gas of solar composition, the resulting total radiation force still exceeds gravity, while a gas of enhanced carbon abundance could be self-braking. We also explore two other braking agents: collisions with dust grains and neutral gas. Grains surrounding beta Pic are photoelectrically charged to a positive electrostatic potential. If a significant fraction of the grains are carbonaceous (10% in t...
Regenerative braking device with rotationally mounted energy storage means
Hoppie, Lyle O. (Birmingham, MI)
1982-03-16
A regenerative braking device for an automotive vehicle includes an energy storage assembly (12) having a plurality of rubber rollers (26, 28) mounted for rotation between an input shaft (30) and an output shaft (32), clutches (50, 56) and brakes (52, 58) associated with each shaft, and a continuously variable transmission (22) connectable to a vehicle drivetrain and to the input and output shafts by the respective clutches. In a second embodiment the clutches and brakes are dispensed with and the variable ratio transmission is connected directly across the input and output shafts. In both embodiments the rubber rollers are torsionally stressed to accumulate energy from the vehicle when the input shaft rotates faster or relative to the output shaft and are torsionally relaxed to deliver energy to the vehicle when the output shaft rotates faster or relative to the input shaft.
Aalborg Universitet Disturbance Control of the Hydraulic Brake in a Wind Turbine
Yang, Zhenyu
Aalborg Universitet Disturbance Control of the Hydraulic Brake in a Wind Turbine Jepsen, Frank Brake in a Wind Turbine. In Energy Conference and Exhibition (EnergyCon), 2010 IEEE International . (pp from vbn.aau.dk on: juli 07, 2015 #12;Disturbance Control of the Hydraulic Brake in a Wind Turbine
The Chinese brake fern (Pteris vittata L.), native to China, is widely naturalized in
Ma, Lena
The Chinese brake fern (Pteris vittata L.), native to China, is widely naturalized in many areas and anatomical aspects of Chinese brake fern (Pteris vittata; Pteridaceae) Bhaskar Bondada1, Cong Tu, and Lena Ma-0290, U.S.A.; e-mail: lqma@ifas.ufl.edu). Sur- face structure and anatomical aspects of Chinese brake fern
Regenerative Braking for an Electric Vehicle Using Ultracapacitors and a Buck-Boost Converter
Catholic University of Chile (Universidad Católica de Chile)
Regenerative Braking for an Electric Vehicle Using Ultracapacitors and a Buck-Boost Converter Juan situation (regenerative braking), the battery voltage goes up, and then the control needs to activate regenerative braking can be avoided #12;with the help of ultracapacitors. Besides, ultracapacitors allow
Emission Factor for Antimony in Brake Abrasion Dusts as One of the
Short, Daniel
112-8551, Japan, and Akebono Brake Industry, Co., Ltd., 5-4-71 Higashi, Hanyu, Saitama 348-8509, Japan, and shape distributions, automotive brake abrasion dusts were suspected as one of the important sources factor that originates from automotive braking in order to quantitatively evaluate the contribution
Tyre curve estimation in slip-controlled braking
Miller, Jonathan I.; Cebon, David
2015-06-09
identifying a Kalman filter observer for vehicle handling dynamics. IMECHE Part D – J. of Auto. Eng. 2006; 220: 1063–1072. 27. Yi J et al. Emergency braking control with an observer-based dynamic tire/road friction model and wheel angular velocity... also used by Shim et al.15, and Hong et al.16 Unsal and Kachroo17 compared an EKF with a sliding mode observer to estimate vehicle velocity, using this estimated velocity with a nominal slip-friction curve to determine the braking force. The authors...
Braking index of isolated pulsars: open questions and ways forward
Hamil, Oliver
2015-01-01
Isolated pulsars are rotating neutron stars with accurately measured angular velocities $\\Omega$, and their time derivatives which show unambiguously that the pulsars are slowing down. Although the exact mechanism of the spin-down is a question of debate, the commonly accepted view is that it arises either through emission of magnetic dipole radiation (MDR) from a rotating magnetized body, through emission of a relativistic particle wind, or via higher order magnetic multipole or gravitational quadrupole radiation. The calculated energy loss by a rotating pulsar is model dependent and leads to the power law $\\dot{\\Omega}$ = -K $\\Omega^{\\rm n}$ where $n$ is called the braking index. The theoretical value for braking index is $n = 1, 3, 5$ for wind, MDR, quadrupole radiation respectively. The accepted view is that pulsar braking is strongly dominated by MDR. Highly precise observations of isolated pulsars yield braking index values in the range $1 < n < 2.8$ which are consistently less than the value pred...
Active Pedestrian Safety by Automatic Braking and Evasive Steering
Gavrila, Dariu M.
1 Active Pedestrian Safety by Automatic Braking and Evasive Steering C. Keller, T. Dang, H. Fritz of crashes. This paper presents a novel active pedestrian safety system, which combines sensing, situation two complementary approaches for added robustness: motion-based object detection and pedestrian
Heavy and Overweight Vehicle Brake Testing: Five-Axle Combination Tractor-Flatbed Final Report
Lascurain, Mary Beth; Capps, Gary J; Franzese, Oscar
2013-10-01
The Federal Motor Carrier Safety Administration, in coordination with the Federal Highway Administration, sponsored the Heavy and Overweight Vehicle Brake Testing (HOVBT) program in order to provide information about the effect of gross vehicle weight (GVW) on braking performance. Because the Federal Motor Carrier Safety Regulations limit the number of braking system defects that may exist for a vehicle to be allowed to operate on the roadways, the examination of the effect of brake defects on brake performance for increased loads is also relevant. The HOVBT program seeks to provide relevant information to policy makers responsible for establishing load limits, beginning with providing test data for a combination tractor/trailer. This testing was conducted on a five-axle combination vehicle with tractor brakes meeting the Reduced Stopping Distance requirement rulemaking. This report provides a summary of the testing activities, the results of various analyses of the data, and recommendations for future research. Following a complete brake rebuild, instrumentation, and brake burnish, stopping tests were performed from 20 and 40 mph with various brake application pressures (15 psi, 25 psi, 35 psi, 45 psi, 55 psi, and full system pressure). These tests were conducted for various brake conditions at the following GVWs: 60,000, 80,000, 91,000, 97,000, 106,000, and 116,000 lb. The 80,000-lb GVWs included both balanced and unbalanced loads. The condition of the braking system was also varied. To introduce these defects, brakes (none, forward drive axle, or rear trailer axle) were made inoperative. In addition to the stopping tests, performance-based brake tests were conducted for the various loading and brake conditions. Analysis of the stopping test data showed the stopping distance to increase with load (as expected) and also showed that more braking force was generated by the drive axle brakes than the trailer axle brakes. The constant-pressure stopping test data revealed a linear relationship between brake application pressure and was used to develop an algorithm to normalize stopping data for weight and initial speed.
Energy Efficiency in Heavy Vehicle Tires, Drivetrains, and Braking Systems
Peter J. Blau
2000-04-26
This document was prepared to support the primary goals of the Department of Energy, Office of Heavy Vehicle Technologies. These were recently stated as follows: ''Develop by 2004 the enabling technologies for a class 7-8 truck with a fuel efficiency of 10 mpg (at 65 mph) which will meet prevailing emission standards. For Class 3-6 trucks operating on an urban driving cycle, develop by 2004 commercially viable vehicles that achieve at least double the fuel economy of comparable current vehicles (1999), and as a research goal, reduce criteria pollutants to 30% below EPA standards. Develop by 2004 the diesel engine enabling technologies to support large-scale industry dieselization of Class 1 and 2 trucks, achieving a 35 % fuel efficiency improvement over comparable gasoline-fueled trucks, while meeting applicable emissions standards.'' The enabling technologies for improving the fuel efficiency of trucks, include not only engine technologies but also technologies involved with lowering the rolling resistance of tires, reducing vehicle aerodynamic drag, improving thermal management, and reducing parasitic frictional losses in drive train components. Opportunities also exist for making better use of the energy that might ordinarily be dissipated during vehicle braking. Braking systems must be included in this evaluation since safety in truck operations is vital, and braking requirements are greater for vehicles having lowered resistance to rolling. The Office of Heavy Vehicle Technologies has initiated a program to improve the aerodynamics of heavy vehicles through wind tunnel testing, computational modeling, and on-road evaluations. That activity is described in a separate multi-year plan; therefore, emphasis in this document will be on tires, drive trains, and braking systems. Recent, dramatic fluctuations in diesel fuel prices have emphasized the importance of effecting savings in truck fuel economy by implementing new component designs and materials.
Braking the Gas in the beta Pictoris Disk
Rodrigo Fernández; Alexis Brandeker; Yanqin Wu
2006-01-11
(Abridged) The main sequence star beta Pictoris hosts the best studied circumstellar disk to date. Nonetheless, a long-standing puzzle has been around since the detection of metallic gas in the disk: radiation pressure from the star should blow the gas away, yet the observed motion is consistent with Keplerian rotation. In this work we search for braking mechanisms that can resolve this discrepancy. We find that all species affected by radiation force are heavily ionized and dynamically coupled into a single fluid by Coulomb collisions, reducing the radiation force on species feeling the strongest acceleration. For a gas of solar composition, the resulting total radiation force still exceeds gravity, while a gas of enhanced carbon abundance could be self-braking. We also explore two other braking agents: collisions with dust grains and neutral gas. Grains surrounding beta Pic are photoelectrically charged to a positive electrostatic potential. If a significant fraction of the grains are carbonaceous (10% in the midplane and larger at higher altitudes), ions can be slowed down to satisfy the observed velocity constraints. For neutral gas to brake the coupled ion fluid, we find the minimum required mass to be $\\approx$ 0.03 $M_\\earth$, consistent with observed upper limits of the hydrogen column density, and substantially reduced relative to previous estimates. Our results favor a scenario in which metallic gas is generated by grain evaporation in the disk, perhaps during grain-grain collisions. We exclude a primordial origin for the gas, but cannot rule out the possibility of its production by falling evaporating bodies near the star. We discuss the implications of this work for observations of gas in other debris disks.
SPINDOWN OF ISOLATED NEUTRON STARS: GRAVITATIONAL WAVES OR MAGNETIC BRAKING?
Staff, Jan E.; Jaikumar, Prashanth; Chan, Vincent; Ouyed, Rachid
2012-05-20
We study the spindown of isolated neutron stars from initially rapid rotation rates, driven by two factors: (1) gravitational wave emission due to r-modes and (2) magnetic braking. In the context of isolated neutron stars, we present the first study including self-consistently the magnetic damping of r-modes in the spin evolution. We track the spin evolution employing the RNS code, which accounts for the rotating structure of neutron stars for various equations of state. We find that, despite the strong damping due to the magnetic field, r-modes alter the braking rate from pure magnetic braking for B {<=} 10{sup 13} G. For realistic values of the saturation amplitude {alpha}{sub sat}, the r-mode can also decrease the time to reach the threshold central density for quark deconfinement. Within a phenomenological model, we assess the gravitational waveform that would result from r-mode-driven spindown of a magnetized neutron star. To contrast with the persistent signal during the spindown phase, we also present a preliminary estimate of the transient gravitational wave signal from an explosive quark-hadron phase transition, which can be a signal for the deconfinement of quarks inside neutron stars.
Real-Time Dynamic Brake Assessment Proof of Concept Final Report
Lascurain, Mary Beth [ORNL; Franzese, Oscar [ORNL; Capps, Gary J [ORNL
2011-11-01
This proof-of-concept research was performed to explore the feasibility of using real-world braking data from commercial motor vehicles to make a diagnosis of brake condition similar to that of the performance-based brake tester (PBBT). This was done by determining the relationship between pressure and brake force (P-BF), compensating for the gross vehicle weight (GVW). The nature of this P-BF relationship (e.g., low braking force for a given brake application pressure) may indicate brake system problems. In order to determine the relationship between brake force and brake application pressure, a few key parameters of duty cycle information were collected. Because braking events are often brief, spanning only a few seconds, a sample rate of 10 Hz was needed. The algorithm under development required brake application pressure and speed (from which deceleration was calculated). Accurate weight estimation was also needed to properly derive the braking force from the deceleration. In order to ensure that braking force was the predominant factor in deceleration for the segments of data used in analysis, the data was screened for grade as well. Also, the analysis needed to be based on pressures above the crack pressure. The crack pressure is the pressure below which the individual brakes are not applied due the nature of the mechanical system. This value, which may vary somewhat from one wheel end to another, is approximately 10 psi. Therefore, only pressures 15 psi and above were used in the analysis. The Department of Energy s Medium Truck Duty Cycle research has indicated that under the real-world circumstances of the test vehicle brake pressures of up to approximately 30 psi can be expected. Several different types of data were collected during the testing task of this project. Constant-pressure stopping tests were conducted at several combinations of brake application pressure (15, 20, 25, and 30 psi), load conditions (moderately and fully laden), and speeds (20 and 30 mph). Data was collected at 10 Hz. Standard and stepped-pressure performance-based brake tests with brake pressure transducers were performed for each loading condition. The stepped-pressure test included the constant-pressure intervals of brake application at 15, 20, 25, and 30 psi. The PBBT data files included 10 Hz streaming data collected during the testing of each axle. Two weeks of real-world duty cycle (driving and braking) data was also collected at 10 Hz. Initial analysis of the data revealed that the data collected in the field (i.e., day-to-day operations) provided the same information as that obtained from the controlled tests. Analysis of the data collected revealed a strong linear relationship between brake application pressure and deceleration for given GVWs. As anticipated, initial speed was not found to be a significant factor in the deceleration-pressure relationship, unlike GVW. The positive results obtained from this proof of concept test point to the need for further research to expand this concept. A second phase should include testing over a wider range of speeds and include medium brake application pressures in addition to the low pressures tested in this research. Testing on multiple vehicles would also be of value. This future phase should involve testing to determine how degradation of braking performance affects the pressure-deceleration relationship.
Tachyon cosmology, supernovae data and the Big Brake singularity
Z. Keresztes; L. Á. Gergely; V. Gorini; U. Moschella; A. Yu. Kamenshchik
2009-04-21
We compare the existing observational data on type Ia Supernovae with the evolutions of the universe predicted by a one-parameter family of tachyon models which we have introduced recently in paper \\cite{we-tach}. Among the set of the trajectories of the model which are compatible with the data there is a consistent subset for which the universe ends up in a new type of soft cosmological singularity dubbed Big Brake. This opens up yet another scenario for the future history of the universe besides the one predicted by the standard $\\Lambda$CDM model.
Mavroidis, Constantinos
1 Adaptive Torque Control of Electro-Rheological Fluid Brakes Used in Active Knee Rehabilitation-rheological fluid (ERF) based variable resistance brakes that are used in compact and portable rehabilitation Control, Actuators for Rehabilitation Robotics I. INTRODUCTION Electro-rheological fluids (ERFs
Modeling the pneumatic subsystem of a S-cam air brake system
Coimbatore Subramanian, Shankar
2004-09-30
The air brake system is one of the critical components in ensuring the safe operation of any commercial vehicle. This work is directed towards the development of a fault-free model of the pneumatic subsystem of the air brake system. This model can...
On The Use of Eddy Current Brakes as Tunable, Fast Turn-On Viscous Dampers For Haptic Rendering
Hayward, Vincent
On The Use of Eddy Current Brakes as Tunable, Fast Turn-On Viscous Dampers For Haptic RenderingGill University, Montr´eal, Canada ABSTRACT We describe the use of eddy current brakes as fast turn-on, tunable, linear dampers for haptic rendering using a prototype haptic device outfitted with eddy current brakes
A nonextensive view of the stellar braking indices
de Freitas, D B; Soares, B B; Silva, J R P
2015-01-01
The present work is based on a description for the angular mometum loss rate due to magnetic braking for main-sequence stars on the relationship between stellar rotation and age. In general, this loss rate denoted by $\\mathrm dJ/\\mathrm dt$ depends on angular velocity $\\Omega$ in the form $\\mathrm dJ/\\mathrm dt\\propto\\Omega^{q}$, where $q$ is a parameter extracted from nonextensive statistical mechanics. Already, in context of stellar rotation, this parameter is greater than unity and it is directly related to the braking index. For $q$ equal to unity, the scenario of saturation of the magnetic field is recovered, otherwise $q$ indicates an unsaturated field. This new approach have been proposed and investigated by de Freitas \\& De Medeiros for unsaturated field stars. In present work, we propose a nonextensive approach for the stellar rotational evolution based on the Reiners \\& Mohanthy model. In this sense, we developed a nonextensive version of Reiners \\& Mohanthy torque and also compare this ...
Evaluation of driver braking performance to an unexpected object in the roadway
Picha, Dale Louis
1994-01-01
) in 1940, incorporates two components into geometric design, a perception-response time (PRT) component and a braking distance component. Because of the importance of sight distance on highways, previous research has questioned the assumptions of these two...
Injection Timing Effects on Brake Fuel Conversion Efficiency and Engine System's Respones
McLean, James Elliott
2011-10-21
Societal concerns on combustion-based fuel consumption are ever-increasing. With respect to internal combustion engines, this translates to a need to increase brake fuel conversion efficiency (BFCE). Diesel engines are a relatively efficient...
A study of factors affecting foot movement time in a braking maneuver
Berman, Andrea Helene
1994-01-01
The nature of foot movement time (MT) in an actual braking maneuver and in a stationary vehicle was investigated regarding the effects of age and gender of the driver and nature of the stimulus to which the driver was ...
Combined fast valving and braking resistor application to improve transient stability
Chen, Jen-Yeu Thomas
1982-01-01
COMBINED FAST VALVING AND BRAKING RESISTOR APPLICATION TO IMPROVE TRANSIENT STABILITY A Thesis by Submitted to the Graduate College of' Texas A&M University in Partial fulfillment of the requirement for the degree of MASTER OF SCIENCE May... 1982 Major Subjecta Electrical Engineering COMBINED FAST VALVING AND BRAKING RESISTOR APPLICATION TO IMPROVE TRANSIENT STABILITY A Thesis by Approved as to style and content by& herman oY mm ee ad of' De tment Member May 1982 ABSTRACT...
Braking index of isolated uniformly rotating magnetized pulsars
Hamil, Oliver; Urbanec, Martin; Urbancova, Gabriela
2015-01-01
Isolated pulsars are rotating neutron stars with accurately measured angular velocities $\\Omega$, and their time derivatives which show unambiguously that the pulsars are slowing down. Although the exact mechanism of the spin-down is a question of debate in detail, the commonly accepted view is that it arises through emission of magnetic dipole radiation (MDR) from a rotating magnetized body. Other processes, including the emission of gravitational radiation, and of relativistic particles (pulsar wind), are also being considered. The calculated energy loss by a rotating pulsar with a constant moment of inertia is assumed proportional to a model dependent power of $\\Omega$. This relation leads to the power law $\\dot{\\Omega}$ = -K $\\Omega^{\\rm n}$ where $n$ is called the braking index. The MDR model predicts $n$ exactly equal to 3. Selected observations of isolated pulsars provide rather precise values of $n$, individually accurate to a few percent or better, in the range 1$ <$ n $ < $ 2.8, which is consi...
Hayward, Vincent
Initial results using Eddy Current Brakes as Fast Turn-on, Programmable Physical Dampers for Haptic Machines McGill University, Montr´eal, Qu´ebec, Canada ABSTRACT We demonstrate the use of eddy current propose an alternate method to create damping in a haptic interface that uses eddy current brakes. 2 EDDY
Energy-Saving Control of an Unstable Valve with a MR Brake QingHui Yuan and Perry Y. Li
Li, Perry Y.
as a brake does not imply heat reduction. In this paper, we propose a new type of actuator in which a dual lead to heat reduction. In [6], we use a dual-solenoid actuator and design a controller to minimizeEnergy-Saving Control of an Unstable Valve with a MR Brake QingHui Yuan and Perry Y. Li Abstract
REPORT on the TRUCK BRAKE LINING WORKSHOP and FLEET OPERATORS' SURVEY
Blau, P.J.
2003-02-03
The report summarizes what transpired during brake linings-related workshop held at the Fall 2003 meeting of the Technology and Maintenance Council (TMC) in Charlotte, NC. The title of the workshop was ''Developing a Useful Friction Material Rating System''. It was organized by a team consisting of Peter Blau (Oak Ridge National Laboratory), Jim Britell (National Highway Traffic Safety Administration), and Jim Lawrence (Motor and Equipment Manufacturers Association). The workshop was held under the auspices of TMC Task Force S6 (Chassis), chaired by Joseph Stianche (Sanderson Farms, Inc.). Six invited speakers during the morning session provided varied perspectives on testing and rating aftermarket automotive and truck brake linings. They were: James R. Clark, Chief Engineer, Foundation Brakes and Wheel Equipment, Dana Corporation, Spicer Heavy Axle and Brake Division; Charles W. Greening, Jr, President, Greening Test Labs; Tim Duncan, General Manager, Link Testing Services;Dennis J. McNichol, President, Dennis NationaLease; Jim Fajerski, Business Manager, OE Sales and Applications Engineering, Federal Mogul Corporation; and Peter J. Blau, Senior Materials Development Engineer, Oak Ridge National Laboratory. The afternoon break-out sessions addressed nine questions concerning such issues as: ''Should the federal government regulate aftermarket lining quality?''; ''How many operators use RP 628, and if so, what's good or bad about it?''; and ''Would there be any value to you of a vocation-specific rating system?'' The opinions of each discussion group, consisting of 7-9 participants, were reported and consolidated in summary findings on each question. Some questions produced a greater degree of agreement than others. In general, the industry seems eager for more information that would allow those who are responsible for maintaining truck brakes to make better, more informed choices on aftermarket linings. A written fleet operator survey was also conducted during the TMC meeting. Twenty-one responses were received, spanning fleet sizes between 12 and 170,000 vehicles. Responses are summarized in a series of tables separated into responses from small (100 or fewer powered vehicles), medium (101-1000 vehicles), and large fleets (>1000 vehicles). The vast majority of fleets do their own brake maintenance, relying primarily on experience and lining manufactures to select aftermarket linings. At least half of the responders are familiar to some extent with TMC Recommended Practice 628 on brake linings, but most do not use this source of test data as the sole criterion to select linings. Significant shortfalls in the applicability of TMC RP 628 to certain types of brake systems were noted.
Spencer, J.C.
1992-10-13
This patent describes a system for use with a vehicle which includes a turbocharged internal combustion engine having a lubricating system wherein lubricating oil from an engine oil reservoir is circulated within the engine and also to and from an associated brake system air compressor which supplies compressed air for operation of the vehicle air braking system. This patent describes improvement in passing supercharged air to an oil crankcase of the air compressor to cause lubricating oil to drain therefrom and return to the engine oil reservoir.
Achieving Consistent Maximum Brake Torque with Varied Injection Timing in a DI Diesel Engine
Kroeger, Timothy H
2013-09-19
The brake torque of a direct-injection diesel engine is known to plateau over a range of injection timings. Injection timing affects the engine’s ignition delay and the fractions of fuel which burn in premixed and diffusion modes. Therefore...
ORBITAL AND MASS RATIO EVOLUTION OF PROTOBINARIES DRIVEN BY MAGNETIC BRAKING
Zhao, Bo; Li, Zhi-Yun
2013-01-20
The majority of stars reside in multiple systems, especially binaries. The formation and early evolution of binaries is a longstanding problem in star formation that is not yet fully understood. In particular, how the magnetic field observed in star-forming cores shapes the binary characteristics remains relatively unexplored. We demonstrate numerically, using an MHD version of the ENZO AMR hydro code, that a magnetic field of the observed strength can drastically change two of the basic quantities that characterize a binary system: the orbital separation and mass ratio of the two components. Our calculations focus on the protostellar mass accretion phase, after a pair of stellar 'seeds' have already formed. We find that in dense cores magnetized to a realistic level, the angular momentum of the material accreted by the protobinary is greatly reduced by magnetic braking. Accretion of strongly braked material shrinks the protobinary separation by a large factor compared to the non-magnetic case. The magnetic braking also changes the evolution of the mass ratio of unequal-mass protobinaries by producing material of low specific angular momentum that accretes preferentially onto the more massive primary star rather than the secondary. This is in contrast with the preferential mass accretion onto the secondary previously found numerically for protobinaries accreting from an unmagnetized envelope, which tends to drive the mass ratio toward unity. In addition, the magnetic field greatly modifies the morphology and dynamics of the protobinary accretion flow. It suppresses the traditional circumstellar and circumbinary disks that feed the protobinary in the non-magnetic case; the binary is fed instead by a fast collapsing pseudodisk whose rotation is strongly braked. The magnetic braking-driven inward migration of binaries from their birth locations may be constrained by high-resolution observations of the orbital distribution of deeply embedded protobinaries, especially with ALMA and JVLA.
Gravity, Dimension, Equilibrium, & Thermodynamics
Jerome Perez
2006-03-30
Is it actually possible to interpret gravitation as space's property in a pure classical way. Then, we note that extended self-gravitating system equilibrium depends directly on the number of dimension of the space in which it evolves. Given those precisions, we review the principal thermodynamical knowledge in the context of classical gravity with arbitrary dimension of space. Stability analyses for bounded 3D systems, namely the Antonov instability paradigm, are then rapproched to some amazing properties of globular clusters and galaxies.
Hopkins, Jennifer Susan
1995-01-01
This simulator experiment is a preliminary study examining the effects of different auditory signals on braking force and reaction time in a rear-end collision warning system. A driving simulator was built in which subjects operated a computer...
E. I. Guendelman; J. R. Morris
2003-07-01
Some of the peculiar electrodynamical effects associated with gauged ``dimension bubbles'' are presented. Such bubbles, which effectively enclose a region of 5d spacetime, can arise from a 5d theory with a compact extra dimension. Bubbles with thin domain walls can be stabilized against total collapse by the entrapment of light charged scalar bosons inside the bubble, extending the idea of a neutral dimension bubble to accommodate the case of a gauged U(1) symmetry. Using a dielectric approach to the 4d dilaton-Maxwell theory, it is seen that the bubble wall is almost totally opaque to photons, leading to a new stabilization mechanism due to trapped photons. Photon dominated bubbles very slowly shrink, resulting in a temperature increase inside the bubble. At some critical temperature, however, these bubbles explode, with a release of radiation.
Li Zhiyun [Astronomy Department, University of Virginia, Charlottesville, VA (United States); Krasnopolsky, Ruben; Shang, Hsien [Academia Sinica, Theoretical Institute for Advanced Research in Astrophysics, Taipei, Taiwan (China)
2013-09-01
Stars form in dense cores of molecular clouds that are observed to be significantly magnetized. In the simplest case of a laminar (non-turbulent) core with the magnetic field aligned with the rotation axis, both analytic considerations and numerical simulations have shown that the formation of a large, 10{sup 2} AU scale, rotationally supported protostellar disk is suppressed by magnetic braking in the ideal MHD limit for a realistic level of core magnetization. This theoretical difficulty in forming protostellar disks is termed the ''magnetic braking catastrophe''. A possible resolution to this problem, proposed by Hennebelle and Ciardi and Joos et al., is that misalignment between the magnetic field and rotation axis may weaken the magnetic braking enough to enable disk formation. We evaluate this possibility quantitatively through numerical simulations. We confirm the basic result of Joos et al. that the misalignment is indeed conducive to disk formation. In relatively weakly magnetized cores with dimensionless mass-to-flux ratio {approx}> 4, it enabled the formation of rotationally supported disks that would otherwise be suppressed if the magnetic field and rotation axis are aligned. For more strongly magnetized cores, disk formation remains suppressed, however, even for the maximum tilt angle of 90 Degree-Sign . If dense cores are as strongly magnetized as indicated by OH Zeeman observations (with a mean dimensionless mass-to-flux ratio {approx}2), it would be difficult for the misalignment alone to enable disk formation in the majority of them. We conclude that, while beneficial to disk formation, especially for the relatively weak field case, misalignment does not completely solve the problem of catastrophic magnetic braking in general.
Big Mysteries: Extra Dimensions
Lincoln, Don
2014-06-10
The weakness of gravity compared to the other subatomic forces is a real mystery. While nobody knows the answer, one credible solution is that gravity has access to more spatial dimensions than the other three known forces. In this video, Fermilab's Dr. Don Lincoln describes this idea, with the help of some very urbane characters.
Big Mysteries: Extra Dimensions
Lincoln, Don
2014-08-07
The weakness of gravity compared to the other subatomic forces is a real mystery. While nobody knows the answer, one credible solution is that gravity has access to more spatial dimensions than the other three known forces. In this video, Fermilab's Dr. Don Lincoln describes this idea, with the help of some very urbane characters.
Probability of failure of the waste hoist brake system at the Waste Isolation Pilot Plant (WIPP)
Greenfield, M.A. [Univ. of California, Los Angeles, CA (United States); Sargent, T.J. [Univ. of Chicago, IL (United States)]|[Stanford Univ., CA (United States). Hoover Institution
1998-01-01
In its most recent report on the annual probability of failure of the waste hoist brake system at the Waste Isolation Pilot Plant (WIPP), the annual failure rate is calculated to be 1.3E({minus}7)(1/yr), rounded off from 1.32E({minus}7). A calculation by the Environmental Evaluation Group (EEG) produces a result that is about 4% higher, namely 1.37E({minus}7)(1/yr). The difference is due to a minor error in the US Department of Energy (DOE) calculations in the Westinghouse 1996 report. WIPP`s hoist safety relies on a braking system consisting of a number of components including two crucial valves. The failure rate of the system needs to be recalculated periodically to accommodate new information on component failure, changes in maintenance and inspection schedules, occasional incidents such as a hoist traveling out-of-control, either up or down, and changes in the design of the brake system. This report examines DOE`s last two reports on the redesigned waste hoist system. In its calculations, the DOE has accepted one EEG recommendation and is using more current information about the component failures rates, the Nonelectronic Parts Reliability Data (NPRD). However, the DOE calculations fail to include the data uncertainties which are described in detail in the NPRD reports. The US Nuclear Regulatory Commission recommended that a system evaluation include mean estimates of component failure rates and take into account the potential uncertainties that exist so that an estimate can be made on the confidence level to be ascribed to the quantitative results. EEG has made this suggestion previously and the DOE has indicated why it does not accept the NRC recommendation. Hence, this EEG report illustrates the importance of including data uncertainty using a simple statistical example.
Rau, Scott James
2013-01-29
Concepts and technologies described herein provide for an accurate and cost-effective method for rotating a solar array disk for tracking the movement of the sun. According to various aspects, a motor includes a fixed caliper and a translating caliper positioned adjacent to one another. Electromagnetically controlled brakes on the translating caliper grip the solar array disk while adjacent, but spaced apart, electromagnets on the fixed caliper and the translating caliper are energized to create an attractive force that pulls the translating caliper with the solar array disk toward the fixed caliper. After reaching the fixed caliper, brakes on the fixed caliper are engaged with the disk, brakes on the translating caliper are released from the disk, and the translating caliper is pushed back to the starting location where the process repeats until the desired rotation is completed.
Dimension growth for C -algebras
2007-05-14
Feb 6, 2007 ... its range is exhausted by simple, nuclear C?-algebras. As consequences we obtain a well developed the- ory of dimension growth for ...
Hidden Photons in Extra Dimensions
Chris J. Wallace; Joerg Jaeckel; Sabyasachi Roy
2013-11-25
Additional U(1) gauge symmetries and corresponding vector bosons, called hidden photons, interacting with the regular photon via kinetic mixing are well motivated in extensions of the Standard Model. Such extensions often exhibit extra spatial dimensions. In this note we investigate the effects of hidden photons living in extra dimensions. In four dimensions such a hidden photon is only detectable if it has a mass or if there exists additional matter charged under it. We note that in extra dimensions suitable masses for hidden photons are automatically present in form of the Kaluza-Klein tower.
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on Delicious Rank EERE: Alternative Fuels Data Center Home PageBlenderBusiness Case for E85CaliforniaCleanUNITEDNREL
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on Delicious Rank EERE: Alternative Fuels Data Center Home PageBlenderBusiness Case for E85CaliforniaCleanUNITEDNRELButton
Uncertainty-Enabled Design of a Rocket Sled Track Switch Drs. Jordan E. Massad and Matthew R. Brake
Uncertainty-Enabled Design of a Rocket Sled Track Switch Drs. Jordan E. Massad and Matthew R. Brake Sandia National Laboratories, New Mexico Rocket sled tracks provide a dynamically rich environment acceleration profile, the switch closes to complete a circuit for instrument activation. Preliminary tests
Brown, Thomas B., M. Eng. Massachusetts Institute of Technology
2010-01-01
In this paper, we propose CityCarControl, a system to manage the steering, braking, and throttle of a new class of intra-city electric vehicles. These vehicles have a focus on extreme light-weight and a small parking ...
Energy-Saving Control of an Unstable Valve with a MR Brake QingHui Yuan and Perry Y. Li
Li, Perry Y.
Energy-Saving Control of an Unstable Valve with a MR Brake QingHui Yuan and Perry Y. Li Abstract controller is then developed to achieve position tracking and energy-saving. Simulation verifies that using. INTRODUCTION Energy-saving is an important issue in fluid power indus- try. The research of energy efficiency
Eugen Schweitzer
2009-06-13
In different passages of his dialogues, Plato showed deep mathematically-based physical insights. Regrettably most readers overlooked the respective statements, or they utterly did not understand those hints since they were full of philological fallacious terms. Respectable translators misinterpreted such statements and therefore Plato's respective remarks were not recognized as substantial knowledge. Furthermore, Plato often supplemented such basic remarks by diffusely veiled and varied allusions that were often ironically hidden somewhere in his dialogues by inconspicuous double meanings. However, this mode of intentionally coded discrete communication was generally not understood because such irony is not to everyone's taste. However, the attempts to reconstruct Plato's system on the basis of admittedly individually interpreted double meanings lead to a conclusive mathematical-physical cyclical system of dimensions. Additionally it was possible to assign Plato's system of philosophical ideas analogously to this cyclical system. Plato took the verifiability of the mathematical-physical results as proof of the system of his ideas and finally as proof of his ethical creed, the unconditional trust in the 'all surmounting Good.'
Matt, Sean P.; Pinsonneault, Marc H.; Greene, Thomas P. E-mail: kmac@ucar.edu E-mail: thomas.p.greene@nasa.gov
2012-08-01
We use two-dimensional axisymmetric magnetohydrodynamic simulations to compute steady-state solutions for solar-like stellar winds from rotating stars with dipolar magnetic fields. Our parameter study includes 50 simulations covering a wide range of relative magnetic field strengths and rotation rates, extending from the slow- and approaching the fast-magnetic-rotator regimes. Using the simulations to compute the angular momentum loss, we derive a semi-analytic formulation for the external torque on the star that fits all of the simulations to a precision of a few percent. This formula provides a simple method for computing the magnetic braking of Sun-like stars due to magnetized stellar winds, which properly includes the dependence on the strength of the magnetic field, mass loss rate, stellar radius, surface gravity, and spin rate, and which is valid for both slow and fast rotators.
Low-Income Weatherization: The Human Dimension
Broader source: Energy.gov [DOE]
This presentation focuses on how the human dimension saves energy within low-income weatherization programs.
Domain Bubbles of Extra Dimensions
Morris, J R
2003-01-01
``Dimension bubbles'' of the type previously studied by Blau and Guendelman [S.K. Blau and E.I. Guendelman, Phys. Rev. D40, 1909 (1989)], which effectively enclose a region of 5d spacetime and are surrounded by a region of 4d spacetime, can arise in a 5d theory with a compact extra dimension that is dimensionally reduced to give an effective 4d theory. These bubbles with thin domain walls can be stabilized against total collapse in a rather natural way by a scalar field which, as in the case with ``ordinary'' nontopological solitons, traps light scalar particles inside the bubble.
Domain Bubbles of Extra Dimensions
J. R. Morris
2002-11-19
``Dimension bubbles'' of the type previously studied by Blau and Guendelman [S.K. Blau and E.I. Guendelman, Phys. Rev. D40, 1909 (1989)], which effectively enclose a region of 5d spacetime and are surrounded by a region of 4d spacetime, can arise in a 5d theory with a compact extra dimension that is dimensionally reduced to give an effective 4d theory. These bubbles with thin domain walls can be stabilized against total collapse in a rather natural way by a scalar field which, as in the case with ``ordinary'' nontopological solitons, traps light scalar particles inside the bubble.
DIMENSION THEORY AND PARAMETERIZED NORMALIZATION ...
2003-10-06
wishes to thank his advisor Professor Leonard Lipshitz for support and guidance during the ... considers dimension functions over Tarski systems of definable sets and proves ... power series Sm,n, the norm function |·| and the restricted division operations D0 ...... Model completeness and subanalytic sets, Astérisque, vol.
Hausdorff dimension and filling factor
Wellington Cruz
1998-02-25
We propose a new hierarchy scheme for the filling factor, a parameter which characterizes the occurrence of the Fractional Quantum Hall Effect (FQHE). We consider the Hausdorff dimension, $h$, as a parameter for classifying fractional spin particles, such that, it is written in terms of the statistics of the collective excitations. The number $h$ classifies these excitations with different statistics in terms of its homotopy class.
Hayward, Vincent
, VOL. 13, NO. 6, 669677, 2008. 1 Eddy Current Brakes for Haptic Interfaces: Design, Identification describe the design of an eddy current brake for use as programmable viscous damper for haptic interfaces actuators for haptic interfaces. We overview the governing physical relationships, and describe design
Human Dimensions of Wildlife Research Norman Dandy
Human Dimensions of Wildlife Research Norman Dandy Social & Economic Research Group #12;Wildlife) · Human-dimensions of species management (HDSM) Research Projects #12;Collaborative Frameworks for Land of woodland landscapes discussion groups, · Choice experiments, · Fellowships / Placements, · Newsletters
Sixth Dimension | Open Energy Information
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on QA:QA J-E-1 SECTION JEnvironmental Jump to:EA EIS ReportEurope GmbH Jump to:Idaho-Utah |RenovablesSixth Dimension Jump
Carpick, Robert W.
Hydraulic Drivetrain and Regenerative Braking Team 13: Andrew Brown, Karan Desai, Andrew Mc Pressure Reservior Filter Variable Vane Pump Motor/Pump Hydraulic Accumulators Solenoid Valve Relief Valve Suction Line Since their development in 2006, hydraulic drivetrain systems have gained considerable
Grujicic, Mica
Finite element analysis of the effect of up-armouring on the off-road braking and sharp-mobility multi-purpose wheeled vehicle, off-road vehicle performance, finite element modelling and simulations revision for publication on 15 June 2009. DOI: 10.1243/09544070JAUTO1187 Abstract: A comprehensive finite
CDMS, Supersymmetry and Extra Dimensions
Laura Baudis
2006-09-07
The CDMS experiment aims to directly detect massive, cold dark matter particles originating from the Milky Way halo. Charge and lattice excitations are detected after a particle scatters in a Ge or Si crystal kept at ~30 mK, allowing to separate nuclear recoils from the dominating electromagnetic background. The operation of 12 detectors in the Soudan mine for 75 live days in 2004 delivered no evidence for a signal, yielding stringent limits on dark matter candidates from supersymmetry and universal extra dimensions. Thirty Ge and Si detectors are presently installed in the Soudan cryostat, and operating at base temperature. The run scheduled to start in 2006 is expected to yield a one order of magnitude increase in dark matter sensitivity.
Greenfield, M.A. [Univ. of California, Los Angeles, CA (United States); Sargent, T.J.
1995-11-01
The Environmental Evaluation Group (EEG) previously analyzed the probability of a catastrophic accident in the waste hoist of the Waste Isolation Pilot Plant (WIPP) and published the results in Greenfield (1990; EEG-44) and Greenfield and Sargent (1993; EEG-53). The most significant safety element in the waste hoist is the hydraulic brake system, whose possible failure was identified in these studies as the most important contributor in accident scenarios. Westinghouse Electric Corporation, Waste Isolation Division has calculated the probability of an accident involving the brake system based on studies utilizing extensive fault tree analyses. This analysis conducted for the U.S. Department of Energy (DOE) used point estimates to describe the probability of failure and includes failure rates for the various components comprising the brake system. An additional controlling factor in the DOE calculations is the mode of operation of the brake system. This factor enters for the following reason. The basic failure rate per annum of any individual element is called the Event Probability (EP), and is expressed as the probability of failure per annum. The EP in turn is the product of two factors. One is the {open_quotes}reported{close_quotes} failure rate, usually expressed as the probability of failure per hour and the other is the expected number of hours that the element is in use, called the {open_quotes}mission time{close_quotes}. In many instances the {open_quotes}mission time{close_quotes} will be the number of operating hours of the brake system per annum. However since the operation of the waste hoist system includes regular {open_quotes}reoperational check{close_quotes} tests, the {open_quotes}mission time{close_quotes} for standby components is reduced in accordance with the specifics of the operational time table.
Dimension Reduction of Chemical Process Simulation Data
Truemper, Klaus
transportation systems and the majority of electric power plants rely directly or indirectly on the combustion: dimension reduction, subgroup discovery, lazy learner, modeling combustion 1 Introduction Virtually all
Earthquake spatial distribution: the correlation dimension
Kagan, Yan Y
2007-01-01
S. Lasocki, D. Luzio & M. Vitale, 1999. Fractal dimensionDe Luca L. , D. Luzio & M. Vitale, 2002. A ML estimator of
Biofuel Plant, Clearfield County, PA Human Dimensions
Omiecinski, Curtis
to communicate effectively with stakeholders affected by natural resource and envi ronmental change issuesBiofuel Plant, Clearfield County, PA Human Dimensions of Natural Resources and the Environment Intercollege DualTitle Program For more information, please contact: Human Dimensions of Natural Resources
Positioner with long travel in two dimensions
Trumper, David L. (Plaistow, NH); Williams, Mark E. (Pelham, NH)
1997-12-23
A precision positioning system is provided which provides long travel in two of the linear dimensions, while using non-contact bearings for both a first subassembly which provides long travel in one of the linear dimension and a second subassembly which provides long travel in the second linear dimension. The first or upper subassembly is preferably a magnetic subassembly which, in addition to providing long travel, also compensates or positions in three rotary dimensions and in the third linear dimension. The second subassembly is preferably either an air bearing or magnetic subassembly and is normally used only to provide long travel. Angled surfaces may be provided for magnetic bearings and capacitive or other gap sensing probes may be mounted to the stage and ground flush with the bearing actuators to provide more precise gap measurements.
Waliser, Duane E.
We Brake for Mars Hi! My name is Mike Meacham. I'm an engineer here at the Jet Propulsion a really big parachute. To make these large parachutes you have to test them before you go. You need a way've got to test big here on Earth. You got to be a little crazy sometimes if you want to do crazy things
Solar energy generation in three dimensions
Bernardi, Marco
We formulate, solve computationally and study experimentally the problem of collecting solar energy in three dimensions. We demonstrate that absorbers and reflectors can be combined in the absence of sun tracking to build ...
Hausdorff dimension and anyonic distribution functions
Wellington da Cruz
1998-03-06
We obtain the distribution functions for anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, $h$ and as an example of such anyonic systems, we consider the collective excitations of the Fractional Quantum Hall Effect (FQHE).
Collineations in Space of Four Dimensions
Pond, Robert S.
1910-01-01
KU ScholarWorks | The University of Kansas Pre-1923 Dissertations and Theses Collection Collineations in space of four dimensions. 1910 by Robert S. Pond This work was digitized by the Scholarly Communications program staff in the KU Libraries...KU ScholarWorks | The University of Kansas Pre-1923 Dissertations and Theses Collection Collineations in space of four dimensions. 1910 by Robert S. Pond This work was digitized by the Scholarly Communications program staff in the KU Libraries...
Naked singularities in three-dimensions
G. Oliveira-Neto
2002-02-01
We study an analytical solution to the Einstein's equations in 2+1-dimensions, representing the self-similar collapse of a circularly symmetric, minimally coupled, massless, scalar field. Depending on the value of certain parameters, this solution represents the formation of naked singularities. Since our solution is asymptotically flat, these naked singularities may be relevant for the weak cosmic censorship conjecture in 2+1-dimensions.
Breaking Parity Symmetry Using Extra Dimensions
R. N. Mohapatra; A. Pérez-Lorenzana
1999-11-17
We present a new way to break parity symmetry in left-right symmetric models using boundary conditions on the fields residing in the fifth dimension. We also discuss the connection between the limits on the size of extra dimensions and the scale of right handed symmetry breaking obtained from the analysis of neutrinoless double beta decay in the case where the righthanded gauge symmetry is in the bulk.
Supersymmetric {sigma}-models in 2-dimensions
Zumino, B. |
1997-02-01
The author gives a brief introduction to supersymmetric {sigma}-models in two space-time dimensions. The topics he covers are: the bosonic {sigma}-model; supersymmetry in two dimensions; complex manifolds; the Kaehler and hyper-Kaehler case; and chiral supersymmetries. The lesson to be learned from the lecture is that the number of supersymmetries is intimately related to the geometric structure of the target space manifold: more geometric structure corresponds to more supersymmetries.
White Paper Societal Dimensions of Earth System Modeling
on Societal Dimensions of Earth System Modeling July 5, 2011 #12; 2 Executive Summary · A Societal Dimensions of Earth System Modeling workshop was held
Einstein's Dream of Unified Forces - extra dimensions | U.S....
Office of Science (SC) Website
Are there extra dimensions of space? The Tevatron .jpg file (220KB) At Fermilab's Tevatron, physicists study such exotic phenomena as extra dimensions, paving the way for...
Applied Studies and Technology: The Third Dimension-Variation...
Applied Studies and Technology: The Third Dimension-Variation in Groundwater Aquifers Applied Studies and Technology: The Third Dimension-Variation in Groundwater Aquifers October...
Large-dimension, high-ZT Thermoelectric Nanocomposites for High...
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Large-dimension, high-ZT Thermoelectric Nanocomposites for High-Power High-efficiency Waste Heat Recovery for Electricity Generation Large-dimension, high-ZT Thermoelectric...
Integral equations of scattering in one dimension
Vania E. Barlette; Marcelo M. Leite; Sadhan K. Adhikari
2001-03-05
A self-contained discussion of integral equations of scattering is presented in the case of centrally-symmetric potentials in one dimension, which will facilitate the understanding of more complex scattering integral equations in two and three dimensions. The present discussion illustrates in a simple fashion the concept of partial-wave decomposition, Green's function, Lippmann-Schwinger integral equations of scattering for wave function and transition operator, optical theorem and unitarity relation. We illustrate the present approach with a Dirac delta potential.
Constraints on extra dimensions from atomic spectroscopy
Dahia, F
2015-01-01
We consider a hydrogen atom confined in a thick brane embedded in a higher-dimensional space. Due to effects of the extra dimensions, the gravitational potential is amplified in distances smaller than the size of the supplementary space, in comparison with the Newtonian potential. Studying the influence of the gravitational interaction modified by the extra dimensions on the energy levels of the hydrogen atom, we find independent constraints for the higher-dimensional Planck mass in terms of the thickness of the brane by using accurate measurements of atomic transition frequencies. The constraints are very stringent for narrow branes.
Constraints on extra dimensions from atomic spectroscopy
F. Dahia; A. S. Lemos
2015-09-23
We consider a hydrogen atom confined in a thick brane embedded in a higher-dimensional space. Due to effects of the extra dimensions, the gravitational potential is amplified in distances smaller than the size of the supplementary space, in comparison with the Newtonian potential. Studying the influence of the gravitational interaction modified by the extra dimensions on the energy levels of the hydrogen atom, we find independent constraints for the higher-dimensional Planck mass in terms of the thickness of the brane by using accurate measurements of atomic transition frequencies. The constraints are very stringent for narrow branes.
Self-Dual Superstring in Six Dimensions
John H. Schwarz
1996-04-27
A free superstring with chiral N=2 supersymmetry in six dimensions is proposed. It couples to a two-form gauge field with a self-dual field strength. Compactification to four dimensions on a two-torus gives a strongly coupled N=4 four-dimensional gauge theory with SL(2, Z) duality and an infinite tower of dyons. Various authors have suggested that this string theory should be also the world-volume theory of M theory five-branes. Accepting this proposal, we find a puzzling factor of two in the application to black-hole entropy computations.
Cosmological model with movement in fifth dimension
W. B. Belayev
2001-10-24
Presented cosmological model is 3D brane world sheet moved in extra dimension with variable scale factor. Analysis of the geodesic motion of the test particle gives settle explanation of the Pioneer effect. It is found that for considered metric the solution of the semi-classical Einstein equations with various parameters conforms to isotropic expanded and anisotropic stationary universe.
Transmission Eigenvalues in One Dimension John Sylvester
Sylvester, John
Transmission Eigenvalues in One Dimension John Sylvester Abstract We show how to locate all the transmission eigenvalues for a one dimensional constant index of refraction on an interval. 1 Introduction #12;Whenever such a nontrivial pair exists, we say that k2 is an interior transmission eigenvalue
Title: China Dimensions Data Collection Data Creator /
holds wide range of natural science and socioeconomic research and educational activities of China Digital Data Format: Arc Info, TwinBridge Based MS Access, SPSS, ASCII, dBase IV Datum / Map Projection: N Network (CIESIN). "China Dimensions Data Collection" [electronic resource: vector]. Palisades, New York
Geometrically induced magnetic catalysis and critical dimensions
Antonino Flachi; Kenji Fukushima; Vincenzo Vitagliano
2015-04-27
We discuss the combined effect of magnetic fields and geometry in interacting fermionic systems. At leading order in the heat-kernel expansion, the infrared singularity (that in flat space leads to the magnetic catalysis) is regulated by the chiral gap effect, and the catalysis is deactivated by the effect of the scalar curvature. We discover that an infrared singularity is found in higher-order terms that mix the magnetic field with curvature, and these lead to a novel form of geometrically induced magnetic catalysis. The dynamical mass squared is then modified not only due to the chiral gap effect by an amount proportional to the curvature, but also by a magnetic shift $\\propto (4-D)eB$, where $D$ represents the number of space-time dimensions. We argue that $D=4$ is a critical dimension across which the behavior of the magnetic shift changes qualitatively.
Spherical gravitational collapse in N dimensions
Goswami, Rituparno; Joshi, Pankaj S.
2007-10-15
We investigate here spherically symmetric gravitational collapse in a space-time with an arbitrary number of dimensions and with a general type I matter field, which is a broad class that includes most of the physically reasonable matter forms. We show that given the initial data for matter in terms of the initial density and pressure profiles at an initial surface t=t{sub i} from which the collapse evolves, there exist the rest of the initial data functions and classes of solutions of Einstein equations which we construct here, such that the space-time evolution goes to a final state which is either a black hole or a naked singularity, depending on the nature of initial data and evolutions chosen, and subject to validity of the weak energy condition. The results are discussed and analyzed in the light of the cosmic censorship hypothesis in black hole physics. The formalism here combines the earlier results on gravitational collapse in four dimensions in a unified treatment. Also the earlier work is generalized to higher-dimensional space-times to allow a study of the effect of the number of dimensions on the possible final outcome of the collapse in terms of either a black hole or naked singularity. No restriction is adopted on the number of dimensions, and other limiting assumptions such as self-similarity of space-time are avoided, in order to keep the treatment general. Our methodology allows us to consider to an extent the genericity and stability aspects related to the occurrence of naked singularities in gravitational collapse.
Kinks, extra dimensions, and gravitational waves
O'Callaghan, Eimear; Gregory, Ruth, E-mail: r.a.w.gregory@durham.ac.uk [Institute for Particle Physics Phenomenology and Centre for Particle Theory, Durham University, South Road, Durham, DH1 3LE (United Kingdom)
2011-03-01
We investigate in detail the gravitational wave signal from kinks on cosmic (super)strings, including the kinematical effects from the internal extra dimensions. We find that the signal is suppressed, however, the effect is less significant that that for cusps. Combined with the greater incidence of kinks on (super)strings, it is likely that the kink signal offers the better chance for detection of cosmic (super)strings.
Carlos Castro; Alex Granik; M. S. El Naschie
2000-08-18
A Cantorian fractal spacetime, a family member of von Neumann's noncommutative geometry is introduced as a geometry underlying a new relativity theory which is similar to the relation between general relativity and Riemannian geometry. Based on this model and the new relativity theory an ensemble distribution of all the dimensions of quantum spacetime is derived with the help of Fermat grand theorem. The calculated average dimension is very close to the value of $4+\\phi^3 $ (where $\\phi$ is the golden mean) obtained by El Naschie on the basis of a different approach. It is shown that within the framework of the new relativity the cosmological constant problem is nonexistent, since the Universe self-organizes and self-tunes according to the renormalization group (RG) flow with respect to a local scaling microscopic arrow of time. This implies that the world emerged as a result of a non-equilibrium process of self-organized critical phenomena launched by vacuum fluctuations in Cantorian fractal spacetime $\\cal E^{\\infty}$. It is shown that we are living in a metastable vacuum and are moving towards a fixed point ($ D$ = 4+$\\phi^3$) of the RG. After reaching this point, a new phase transition will drive the universe to a quasi-crystal phase of the lower average dimension of $\\phi^3$.
The Theory of Dimensioned Matrices George W. Hart*
The Theory of Dimensioned Matrices George W. Hart* Abstract Dimensioned matrices are defined. Electrical Engineering, Columbia University, New York, NY 10027; HART@CTR.COLUMBIA.EDU 1 #12; 2 Hart, G
Yolanda Gil Marc Linster Dimensions to Analyze Applications
Southern California, University of
1 1 Abstract Yolanda Gil Marc Linster Dimensions to Analyze Applications gil@isi.edu linster@guess.enet
Reviewing the human dimensions of wildlife management and recreation
to wildlife management? Who opposes wildlife management and why? Change in the human dimensions of wildlifeReviewing the human dimensions of wildlife management and recreation Mariella Marzano Norman Dandy Centre for Human & Ecological Sciences Forest Research #12;Human Dimensions of Species Management http
Temperature-dependent solvation modulates the dimensions of disordered proteins
Schuler, Ben
solvent interactions, the collapse allows us to probe the physical interactions governing the dimensions of disorderedTemperature-dependent solvation modulates the dimensions of disordered proteins René Wuttkea, 2014 (received for review July 10, 2013) For disordered proteins, the dimensions of the chain are an im
Stark effect in low-dimension hydrogen
Thomas Garm Pedersen; Héctor Mera; Branislav K. Nikoli?
2015-10-06
Studies of atomic systems in electric fields are challenging because of the diverging perturbation series. However, physically meaningful Stark shifts and ionization rates can be found by analytical continuation of the series using appropriate branch cut functions. We apply this approach to low-dimensional hydrogen atoms in order to study the effects of reduced dimensionality. We find that modifications by the electric field are strongly suppressed in reduced dimensions. This finding is explained from a Landau-type analysis of the ionization process.
Hausdorff dimension, anyonic distribution functions, and duality
Wellington da Cruz
1998-12-15
We obtain the distribution functions for anyonic excitations classified into equivalence classes labeled by Hausdorff dimension $h$ and as an example of such anyonic systems, we consider the collective excitations of the Fractional Quantum Hall Effect (FQHE). We also introduce the concept of duality between such classes, defined by $\\tilde{h}=3-h$. In this way, we confirm that the filling factors for which the FQHE were observed just appears into these classes and the internal duality for a given class $h$ or $\\tilde{h}$ is between quasihole and quasiparticle excitations for these FQHE systems. Exchanges of dual pairs $(\
Extra dimensions, orthopositronium decay, and stellar cooling
Alexander Friedland; Maurizio Giannotti
2007-09-14
In a class of extra dimensional models with a warped metric and a single brane the photon can be localized on the brane by gravity only. An intriguing feature of these models is the possibility of the photon escaping into the extra dimensions. The search for this effect has motivated the present round of precision orthopositronium decay experiments. We point out that in this framework a photon in plasma should be metastable. We consider the astrophysical consequences of this observation, in particular, what it implies for the plasmon decay rate in globular cluster stars and for the core-collapse supernova cooling rate. The resulting bounds on the model parameter exceed the possible reach of orthopositronium experiments by many orders of magnitude.
Rotating black lens solution in five dimensions
Chen Yu; Teo, Edward
2008-09-15
It has recently been shown that a stationary, asymptotically flat vacuum black hole in five space-time dimensions with two commuting axial symmetries must have an event horizon with either a spherical, ring or lens-space topology. In this paper, we study the third possibility, a so-called black lens with L(n,1) horizon topology. Using the inverse scattering method, we construct a black-lens solution with the simplest possible rod structure, and possessing a single asymptotic angular momentum. Its properties are then analyzed; in particular, it is shown that there must either be a conical singularity or a naked curvature singularity present in the space-time.
Improved Bounds on Universal Extra Dimensions
Thomas Flacke
2006-05-13
We report on recent constraints on models with a flat ``universal'' extra dimension in which all Standard Model fields propagate in the bulk. A significantly improved constraint on the compactification scale is obtained from the extended set of electroweak precision observables accurately measured at LEP1 and LEP2. We find a lower bound of 1/R > 700 (800) GeV at the 99% (95%) confidence level. Comparison of this constraint with the relic density of Kaluza-Klein dark matter for the Minimal UED model points towards the necessity of including non-minimal boundary terms which motivates studying alternative Kaluza-Klein dark matter candidates. Results for the one-loop induced magnetic dipole moment for Kaluza-Klein neutrino dark matter are presented. This talk is based on Phys.Rev.D73:095002,2006 and hep-ph/0601161.
The BCS - BEC Crossover In Arbitrary Dimensions
Zohar Nussinov; Shmuel Nussinov
2005-10-11
Cold atom traps and certain neutron star layers may contain fermions with separation much larger than the range of pair-wise potentials yet much shorter than the scattering length. Such systems can display {\\em universal} characteristics independent of the details of the short range interactions. In particular, the energy per particle is a fraction $\\xi$ of the Fermi energy of the free Fermion system. Our main result is that for space dimensions D smaller than two and larger than four a specific extension of this problem readily yields $\\xi=1$ for all $D \\le 2$ whereas $\\xi$ is rigorously non-positive (and potentially vanishing) for all $ D \\ge 4$. We discuss the D=3 case. A particular unjustified recipe suggests $\\xi=1/2$ in D=3.
Solar Energy Generation in Three Dimensions
Bernardi, Marco; Wan, Jin H; Villalon, Rachelle; Grossman, Jeffrey C
2011-01-01
Optimizing the conversion of solar energy to electricity is central to the World's future energy economy. Flat photovoltaic panels are commonly deployed in residential and commercial rooftop installations without sun tracking systems and using simple installation guidelines to optimize solar energy collection. Large-scale solar energy generation plants use bulky and expensive sun trackers to avoid cosine losses from photovoltaic panels or to concentrate sunlight with mirrors onto heating fluids.[1,2] However, none of these systems take advantage of the three-dimensional nature of our biosphere, so that solar energy collection largely occurs on flat structures in contrast with what is commonly observed in Nature.[3,4] Here we formulate, solve computationally and study experimentally the problem of collecting solar energy in three-dimensions.[5] We demonstrate that absorbers and reflectors can be combined in the absence of sun tracking to build three-dimensional photovoltaic (3DPV) structures that can generate ...
Computing fractal dimension in supertransient systems directly, fast and reliable
Romulus Breban; Helena E. Nusse
2006-08-07
Chaotic transients occur in many experiments including those in fluids, in simulations of the plane Couette flow, and in coupled map lattices and they are a common phenomena in dynamical systems. Superlong chaotic transients are caused by the presence of chaotic saddles whose stable sets have fractal dimensions that are close to phase-space dimension. For many physical systems chaotic saddles have a big impact on laboratory measurements, and it is important to compute the dimension of such stable sets including fractal basin boundaries through a direct method. In this work, we present a new method to compute the dimension of stable sets of chaotic saddles directly, fast, and reliable.
Gauge and Higgs Boson Masses from an Extra Dimension
Graham Moir; Peter Dziennik; Nikos Irges; Francesco Knechtli; Kyoko Yoneyama
2014-11-03
We present novel calculations of the mass hierarchy of the $SU(2)$ pure gauge theory on a space-time lattice with an orbifolded fifth dimension. This theory has three parameters; the gauge coupling $\\beta$, the anisotropy $\\gamma$, which is a measure of the ratio of the lattice spacing in the four dimensions to that in the fifth dimension, and the extent of the extra dimension $N_{5}$. Using a large basis of scalar and vector operators we explore in detail the spectrum along the $\\gamma = 1$ line, and for the first time we investigate the spectrum for $\\gamma \
Estimating the Attractor Dimension of the Equatorial Weather System
Melvin Leok Boon Tiong
1995-10-25
The correlation dimension and limit capacity serve theoretically as lower and upper bounds, respectively, of the fractal dimension of attractors of dynamic systems. In this paper, we show that estimates of the correlation dimension grow rapidly with increasing noise level in the time-series, while estimates of the limit capacity remain relatively unaffected. It is therefore proposed that the limit capacity be used in studies of noisy data, despite its heavier computational requirements. An analysis of Singapore wind data with the limit capacity estimate revealed a surprisingly low dimension (~2.5). It is suggested that further studies be made with comprehensive equatorial weather data.
Universal anomalous dimensions at large spin and large twist
Apratim Kaviraj; Kallol Sen; Aninda Sinha
2015-06-09
In this paper we consider anomalous dimensions of double trace operators at large spin ($\\ell$) and large twist ($\\tau$) in CFTs in arbitrary dimensions ($d\\geq 3$). Using analytic conformal bootstrap methods, we show that the anomalous dimensions are universal in the limit $\\ell\\gg \\tau\\gg 1$. In the course of the derivation, we extract an approximate closed form expression for the conformal blocks arising in the four point function of identical scalars in any dimension. We compare our results with two different calculations in holography and find perfect agreement.
Reduction of dimension for nonlinear dynamical systems
Heather A. Harrington; Robert A. Van Gorder
2015-08-24
We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some cases, one can reduce a nonlinear system of equations into a single equation for one of the state variables, and this can be useful for computing the solution when using a variety of analytical approaches. In the case where this reduction is possible, we employ differential elimination to obtain the reduced system. While analytical, the approach is algorithmic, and is implemented in symbolic software such as {\\sc MAPLE} or {\\sc SageMath}. In other cases, the reduction cannot be performed strictly in terms of differential operators, and one obtains integro-differential operators, which may still be useful. In either case, one can use the reduced equation to both approximate solutions for the state variables and perform chaos diagnostics more efficiently than could be done for the original higher-dimensional system, as well as to construct Lyapunov functions which help in the large-time study of the state variables. A number of chaotic and hyperchaotic dynamical systems are used as examples in order to motivate the approach.
Moment Based Dimension Reduction for Multivariate Response Regression
Bura, Efstathia
Moment Based Dimension Reduction for Multivariate Response Regression Xiangrong Yin Efstathia Bura January 20, 2005 Abstract Dimension reduction aims to reduce the complexity of a regression without re- quiring a pre-specified model. In the case of multivariate response regressions, covariance
SCIENCE IN HIGH DIMENSIONS: MULTIPARAMETER MODELS AND BIG DATA
Sethna, James P.
SCIENCE IN HIGH DIMENSIONS: MULTIPARAMETER MODELS AND BIG DATA A Dissertation Presented #12;SCIENCE IN HIGH DIMENSIONS: MULTIPARAMETER MODELS AND BIG DATA Ricky Chachra, Ph.D. Cornell parameters as well as a large-dimensional space of predicted data. These high-dimensional spaces of inputs
LABORATORY I: DESCRIPTION OF MOTION IN ONE DIMENSION
Minnesota, University of
Lab I - 1 LABORATORY I: DESCRIPTION OF MOTION IN ONE DIMENSION In this laboratory you will measure with your instructor. Remember, one of the reasons for doing physics in a laboratory setting is to help you this laboratory, you should be able to: · Describe completely the motion of any object moving in one dimension
A note on exclusion statistics parameter and Hausdorff dimension
Wellington da Cruz
1998-03-05
We obtain for an anyon gas in the high temperature limit a relation between the exclusion statistics parameter $g$ and the Hausdorff dimension $h$, given by $g=h(2-h)$. The anyonic excitations are classified into equivalence classes labeled by Hausdorff dimension, $h$, and in that limit, the parameter $g$ give us the second virial coefficient for any statistics, $\
Effects of Ultramicroelectrode Dimensions on the Electropolymerization of Polypyrrole
Fletcher, Benjamin L [ORNL; Fern, Jared T. [University of Tennessee, Knoxville (UTK); Rhodes, Kevin [University of Tennessee, Knoxville (UTK); McKnight, Timothy E [ORNL; Fowlkes, Jason Davidson [ORNL; Retterer, Scott T [ORNL; Keffer, David J. [University of Tennessee, Knoxville (UTK); Simpson, Michael L [ORNL; Doktycz, Mitchel John [ORNL
2009-01-01
Anode geometry can significantly affect the electrochemical synthesis of conductive polymers. Here, the effects of anode dimensions on the electropolymerization of pyrrole are investigated. Band microelectrodes were prepared with widths ranging from 2 to 500 {micro}m. The anode dimension has a significant effect on the resulting thickness of polymer film. The electropolymerization process deviates significantly from that predicted by simple mass transfer considerations when electrode dimensions are less than {approx}20 {micro}m. Polymer film thickness is thinner than expected when electrode dimensions become less than {approx}10 {micro}m. A simple mathematical model was derived to explain the observed effects of anode dimensions on the polymerization process. Simulation results confirm that diffusive loss of reaction intermediates accounts for the observed experimental trends. The described simulation facilitates understanding of the electropolymerization processes and approaches to the controlled deposition of polypyrrole, particularly at the submicron scale, for microelectromechanical systems and biomedical applications.
Dimensions and aspect ratios of natural ice crystals
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Um, J.; McFarquhar, G. M.; Hong, Y. P.; Lee, S. -S.; Jung, C. H.; Lawson, R. P.; Mo, Q.
2014-12-10
During the 2006 Tropical Warm Pool International Cloud Experiment (TWP-ICE) in the Tropics, the 2008 Indirect and Semi-Direct Aerosol Campaign (ISDAC) in the Arctic, and the 2010 Small PARTicles In CirrUS (SPARTICUS) campaign in mid-latitudes, high-resolution images of ice crystals were recorded by a Cloud Particle Imager at temperatures (T) between -87 and 0 °C. The projected maximum dimension (D'), length (L'), and width (W') of pristine columns, plates, and component bullets of bullet rosettes were measured using newly developed software, the Ice Crystal Ruler. The number of bullets in each bullet rosette was also measured. Column crystals were furthermore »distinguished as either horizontally oriented columns or columns with other orientations to eliminate any orientation effect on the measured dimensions. Dimensions and aspect ratios (AR, dimension of major axis divided by dimension of minor axis) of crystals were determined as functions of temperature, geophysical location, and type of cirrus. Dimensions of crystals generally increased as temperature increased. Columns and bullets had larger dimensions (i.e., W') of the minor axis (i.e., a axis) for a given dimension (i.e., D' or L') of the major axis (i.e., c axis), and thus smaller AR, as T increased, whereas this trend did not occur for plate crystals. The average number of branches in bullet rosettes was 5.50±1.35 during three campaigns and 6.32±1.34 (5.46±1.34; 4.95±1.01) during TWP-ICE (SPARTICUS; ISDAC). The AR of bullets increased with the number of branches in bullet rosettes. Most dimensions of crystals and ARs of columnar crystals measured during SPARTICUS were larger than those measured during TWP-ICE and ISDAC at ?67 T T L–W relationships of columns derived using current data exhibited a strong dependence on temperature; similar relationship determined in previous studies were within the range of the current data.« less
Physical Interpretation of the 26 Dimensions of Bosonic String Theory
Frank D. Smith Jr
2002-07-15
The 26 dimensions of Closed Unoriented Bosonic String Theory are interpreted as the 26 dimensions of the traceless Jordan algebra J3(O)o of 3x3 Octonionic matrices, with each of the 3 Octonionic dimenisons of J3(O)o having the following physical interpretation: 4-dimensional physical spacetime plus 4-dimensional internal symmetry space; 8 first-generation fermion particles; 8 first-generation fermion anti-particles. This interpretation is consistent with interpreting the strings as World Lines of the Worlds of Many-Worlds Quantum Theory and the 26 dimensions as the degrees of freedom of the Worlds of the Many-Worlds.
The motivation and pleasure dimension of negative symptoms: Neural substrates
The motivation and pleasure dimension of negative symptoms: Neural substrates and behavioral Schizophrenia; Motivation; Pleasure; Neural substrates; Effort; Anticipation Abstract A range of emotional and motivation impairments have long been clinically documented in people with schizophrenia, and there has been
Congestion pricing : policy dimensions, public rejection and impacts
Chingcuanco, Franco (Franco Felipe)
2014-01-01
This thesis makes three related contributions to the broad literature on congestion pricing. First, it examines three policy dimensions that underlie pricing: the economic arguments that motivate it, the technological ...
Testing dimension and non-classicality in communication networks
Joseph Bowles; Nicolas Brunner; Marcin Paw?owski
2015-09-14
We consider networks featuring preparation, transformation, and measurement devices, in which devices exchange communication via mediating physical systems. We investigate the problem of testing the dimension of the mediating systems in the device-independent scenario, that is, based on observable data alone. A general framework for tackling this problem is presented, considering both classical and quantum systems. These methods can then also be used to certify the non-classicality of the mediating systems, given an upper bound on their dimension. Several case studies are reported, which illustrate the relevance of the framework. These examples also show that, for fixed dimension, quantum systems largely outperform classical ones. Moreover, the use of a transformation device considerably improves noise tolerance when compared to simple prepare-and-measure networks. These results suggest that the classical simulation of quantum systems becomes costly in terms of dimension, even for simple networks.
Penetrative internally heated convection in two and three dimensions
Goluskin, David
2015-01-01
Convection of an internally heated fluid, confined between top and bottom plates of equal temperature, is studied by direct numerical simulation in two and three dimensions. The unstably stratified upper region drives convection that penetrates into the stably stratified lower region. The fraction of produced heat escaping across the bottom plate, which is one half without convection, initially decreases as convection strengthens. Entering the turbulent regime, this decrease reverses in two dimensions but continues monotonically in three dimensions. The mean fluid temperature, which grows proportionally to the heating rate ($H$) without convection, grows like $H^{4/5}$ when convection is strong in both two and three dimensions. The ratio of the heating rate to the fluid temperature is likened to the Nusselt number of Rayleigh-B\\'enard convection. Simulations are reported for Prandtl numbers between 0.1 and 10 and for Rayleigh numbers (defined in terms of the heating rate) up to $5\\times10^{10}$.
Search for Large Extra Dimensions Based on Observations of Neutron...
Office of Scientific and Technical Information (OSTI)
ThesisDissertation: Search for Large Extra Dimensions Based on Observations of Neutron Stars with the Fermi-LAT Citation Details In-Document Search Title: Search for Large Extra...
NLO BFKL and anomalous dimensions of light-ray operators
Balitsky, Ian
2013-05-01
This presentation covers: Regge limit in the coordinate space; “BFKL” representation of 4-point correlation function in N = 4 SYM; light-ray operators; “DGLAP” representation of 4-point correlation function; and anomalous dimensions from DGAP vs BFKL representations.
The Higgs boson as a gauge field in extra dimensions
Marco Serone
2005-08-29
I review, at a general non-technical level, the main properties of models in extra dimensions where the Higgs field is identified with some internal component of a gauge field.
Dimension of holes and high-temperature condensate in Bose--Einstein statistics
V. P. Maslov
2006-12-22
We introduce the notion of weight for the lattice dimension and the notion of topological dimension -- hole dimension. The condensate in Bose-holes exists in the case when temperature in not low.
Dimension of physical systems, information processing, and thermodynamics
Nicolas Brunner; Marc Kaplan; Anthony Leverrier; Paul Skrzypczyk
2014-12-18
We ask how quantum theory compares to more general physical theories from the point of view of dimension. To do so, we first give two model independent definition of the dimension of physical systems, based on measurements and on the capacity of storing information. While both definitions are equivalent in classical and quantum mechanics, they are in general different in generalized probabilistic theories. We discuss in detail the case of a theory known as 'boxworld', and show that such a theory features systems with a dimension mismatch. This dimension mismatch can be made arbitrarily large by using an amplification procedure. Furthermore, we show that the dimension mismatch of boxworld has strong consequences on its power for performing information-theoretic tasks, leading to the collapse of communication complexity and to the violation of information causality. Finally, we discuss the consequences of a dimension mismatch from the perspective of thermodynamics, and ask whether this effect could break Landauer's erasure principle and thus the second law.
Giovanni Santostasi
2008-07-16
The Laser Interferometer Gravitational Observatory (LIGO) has recently reached the end of its fifth science run (S5), having collected more than a year worth of data. Analysis of the data is still ongoing but a positive detection of gravitational waves, while possible, is not realistically expected for most likely sources. This is particularly true for what concerns gravitational waves from known pulsars. In fact, even under the most optimistic (and not very realistic) assumption that all the pulsar's observed spin-down is due to gravitational waves, the gravitational wave strain at earth from all the known isolated pulsars (with the only notable exception of the Crab pulsar) would not be strong enough to be detectable by existing detectors. By August 2006, LIGO had produced enough data for a coherent integration capable to extract signal from noise that was weaker than the one expected from the Crab pulsar's spin-down limit. No signal was detected, but beating the spin-down limit is a considerable achievement for the LIGO Scientific Collaboration (LSC). It is customary to translate the upper limit on strain from a pulsar into a more astrophysically significant upper limit on ellipticity. Once the spin-down limit has been beaten, it is possible to release the constraint that all the spin-down is due to gravitational wave emission. A more complete model with diverse braking mechanisms can be used to set limits on several astrophysical parameters of the pulsar. This paper shows possible values of such parameters for the Crab pulsar given the current limit on gravitational waves from this neutron star.
Dimensions and aspect ratios of natural ice crystals
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Um, J.; McFarquhar, G. M.; Hong, Y. P.; Lee, S. -S.; Jung, C. H.; Lawson, R. P.; Mo, Q.
2015-04-15
During the 2006 Tropical Warm Pool International Cloud Experiment (TWP-ICE) in the tropics, the 2008 Indirect and Semi-Direct Aerosol Campaign (ISDAC) in the Arctic, and the 2010 Small PARTicles In CirrUS (SPARTICUS) campaign at mid-latitudes, high-resolution images of ice crystals were recorded by a Cloud Particle Imager at temperatures (T) between -87 and 0 °C. The projected maximum dimension (D'), length (L'), and width (W') of pristine columns, plates, and component bullets of bullet rosettes were measured using newly developed software, the Ice Crystal Ruler. The number of bullets in each bullet rosette was also measured. Column crystals were furthermore »distinguished as either horizontally oriented columns or columns with other orientations to eliminate any orientation effect on the measured dimensions. The dimensions and aspect ratios (AR, the dimension of the major axis divided by the dimension of the minor axis) of crystals were determined as functions of temperature, geophysical location, and type of cirrus. Dimensions of crystals generally increased with temperature. Columns and bullets had larger dimensions (i.e., W') of the minor axis (i.e., a axis) for a given dimension (i.e., D' orL') of the major axis (i.e., c axis), and thus smaller AR, as T increased, whereas this trend did not occur for plate crystals. The average number of branches in bullet rosettes was 5.50 ± 1.35 during three campaigns and 6.32 ± 1.34 (5.46 ± 1.34; 4.95 ± 1.01) during TWP-ICE (SPARTICUS; ISDAC). The AR of bullets increased with the number of branches in bullet rosettes. Most dimensions of crystals and ARs of columnar crystals measured during SPARTICUS were larger than those measured during TWP-ICE and ISDAC at ?67 L–W relationships of columns derived using current data exhibited a strong dependence on temperature; similar relationships determined in previous studies were within the range of the current data.« less
Fermions in odd space-time dimensions: back to basics
Bashir, A; Galicia, Ma. de Jesus Anguiano
2005-01-01
It is a well known feature of odd space-time dimensions $d$ that there exist two inequivalent fundamental representations $A$ and $B$ of the Dirac gamma matrices. Moreover, the parity transformation swaps the fermion fields living in $A$ and $B$. As a consequence, a parity invariant Lagrangian can only be constructed by incorporating both the representations. Based upon these ideas and contrary to long held belief, we show that in addition to a discrete exchange symmetry for the massless case, we can also define chiral symmetry provided the Lagrangian contains fields corresponding to both the inequivalent representations. We also study the transformation properties of the corresponding chiral currents under parity and charge conjugation operations. We work explicitly in 2+1 dimensions and later show how some of these ideas generalize to an arbitrary number of odd dimensions.
Fermions in odd space-time dimensions: back to basics
A. Bashir; Ma. de Jesus Anguiano Galicia
2005-02-09
It is a well known feature of odd space-time dimensions $d$ that there exist two inequivalent fundamental representations $A$ and $B$ of the Dirac gamma matrices. Moreover, the parity transformation swaps the fermion fields living in $A$ and $B$. As a consequence, a parity invariant Lagrangian can only be constructed by incorporating both the representations. Based upon these ideas and contrary to long held belief, we show that in addition to a discrete exchange symmetry for the massless case, we can also define chiral symmetry provided the Lagrangian contains fields corresponding to both the inequivalent representations. We also study the transformation properties of the corresponding chiral currents under parity and charge conjugation operations. We work explicitly in 2+1 dimensions and later show how some of these ideas generalize to an arbitrary number of odd dimensions.
Conformal constraints for anomalous dimensions of leading twist operators
A. N. Manashov; M. Strohmaier
2015-03-16
Leading-twist operators have a remarkable property that their divergence vanishes in a free theory. Recently it was suggested that this property can be used for an alternative technique to calculate anomalous dimensions of leading-twist operators and allows one to gain one order in perturbation theory so that, i.e., two-loop anomalous dimensions can be calculated from one-loop Feynman diagrams, etc. In this work we study feasibility of this program on a toy-model example of the $\\varphi^3$ theory in six dimensions. Our conclusion is that this approach is valid, although it does not seem to present considerable technical simplifications as compared to the standard technique. It does provide one, however, with a very nontrivial check of the calculation as the structure of the contributions is very different.
(Meeting on human dimensions of global environmental change)
Rayner, S.
1990-12-18
Traveler attended the meeting of the Standing Committee on the Human Dimensions of Global Environmental Change of the International Social Science Council (ISSC) and the Scientific Symposium organized by the Standing Committee. The purpose of the meeting and symposium was to discuss the Draft Framework and the Workplan of the Standing Committee prior to its presentation to the 1990 Congress of the ISSC on November 28--30, 1990. The meetings indicate that ORNL Global Environmental Studies Center is on the international leading edge of human dimensions research, except in the area of human dimensions data systems. This weakness could be rectified by close collaboration with the efforts of the Consortium for International Earth Science Information Network (CIESIN) in Michigan.
Sidestepping the Cosmological Constant with Football-Shaped Extra Dimensions
Sean M. Carroll; Monica M. Guica
2003-02-11
We present an exact solution for a factorizable brane-world spacetime with two extra dimensions and explicit brane sources. The compactification manifold has the topology of a two-sphere, and is stabilized by a bulk cosmological constant and magnetic flux. The geometry of the sphere is locally round except for conical singularities at the locations of two antipodal branes, deforming the sphere into an American-style football. The bulk magnetic flux needs to be fine-tuned to obtain flat geometry on the branes. Once this is done, the brane geometry is insensitive to the brane vacuum energy, which only affects the conical deficit angle of the extra dimensions. Solutions of this form provide a new arena in which to explore brane-world phenomenology and the effects of extra dimensions on the cosmological constant problem.
Minimum length, extra dimensions, modified gravity and black hole remnants
Maziashvili, Michael
2013-03-01
We construct a Hilbert space representation of minimum-length deformed uncertainty relation in presence of extra dimensions. Following this construction, we study corrections to the gravitational potential (back reaction on gravity) with the use of correspondingly modified propagator in presence of two (spatial) extra dimensions. Interestingly enough, for r?0 the gravitational force approaches zero and the horizon for modified Schwarzschild-Tangherlini space-time disappears when the mass approaches quantum-gravity energy scale. This result points out to the existence of zero-temperature black hole remnants in ADD brane-world model.
Stable blowup for wave equations in odd space dimensions
Roland Donninger; Birgit Schörkhuber
2015-04-03
We consider semilinear wave equations with focusing power nonlinearities in odd space dimensions $d \\geq 5$. We prove that for every $p > \\frac{d+3}{d-1}$ there exists an open set of radial initial data in $H^{\\frac{d+1}{2}} \\times H^{\\frac{d-1}{2}}$ such that the corresponding solution exists in a backward lightcone and approaches the ODE blowup profile. The result covers the entire range of energy supercritical nonlinearities and extends our previous work for the three-dimensional radial wave equation to higher space dimensions.
Fractal dimension analysis in a highly granular calorimeter
Ruan, M; Brient, J.C; Jeans, D; Videau, H
2015-01-01
The concept of “particle flow” has been developed to optimise the jet energy resolution by distinguishing the different jet components. A highly granular calorimeter designed for the particle flow algorithm provides an unprecedented level of detail for the reconstruction of calorimeter showers and enables new approaches to shower analysis. In this paper the measurement and use of the fractal dimension of showers is described. The fractal dimension is a characteristic number that measures the global compactness of the shower. It is highly dependent on the primary particle type and energy. Its application in identifying particles and estimating their energy is described in the context of a calorimeter designed for the International Linear Collider.
A maximally superintegrable system in n dimensions A. Ballesterosa
Enciso, Alberto
di Fisica Nucleare, Via Vasca Navale 84, 00146 Rome, Italy Abstract We introduce a novel Hamiltonian al. (cf. [23] and references therein), and in fact in two dimensions they managed to obtain a (local to low- dimensional spaces. To the best of our knowledge, the only known examples of n- dimensional MS
Existence of piecewise linear Lyapunov functions in arbitrary dimensions
Hafstein, SigurÃ°ur Freyr
Existence of piecewise linear Lyapunov functions in arbitrary dimensions Peter Giesl Department/Hafstein (2010) the exis- tence of a piecewise linear Lyapunov function was shown, and in Giesl/Hafstein (subm-dimensional systems. This paper generalises the existence of piecewise linear Lyapunov functions to arbitrary
Human Dimensions and Ocean Health in a Changing Climate
Zhou, Xianghong Jasmine
Human Dimensions and Ocean Health in a Changing Climate When: March 12, 2013, 10:00 am - 5:00 pm@usc.edu) by March 5, 2013 Morning Session: Ocean Health in a Changing Climate 9:30 - 10:00 Registration (coffee Health Index Lunch (Lunch will be provided) 12:30 - 1:45 Steve Lamy, USC The Geopolitics of Climate
Top-kkk Preferences in High Dimensions Duke University
Agarwal, Pankaj K.
Top-kkk Preferences in High Dimensions Albert Yu Duke University syu@cs.duke.edu Pankaj K. Agarwal applications, users are interested only in a small num- ber (say, k) of "top" objects from a large set on preference top-k queries [9, 12, 13, 23, 38]. Motivated by applications in business analysis, Vlachou et al
Data Assimilation in Variable Dimension Dispersion Models using Particle Filters
Singh, Tarunraj
Data Assimilation in Variable Dimension Dispersion Models using Particle Filters K. V. Umamaheswara at Buffalo Buffalo, NY, U.S.A. peter@buffalo.edu Abstract-- Data assimilation in the context of puff based models usually lead to high dimensional space-gridded state space models. In the case of puff based
Mining Clustering Dimensions Sajib Dasgupta sajib@hlt.utdallas.edu
Ng, Vincent
@hlt.utdallas.edu Human Language Technology Research Institute, University of Texas at Dallas, Richardson, TX 75083 USA Abstract Many realworld datasets can be clustered along multiple dimensions. For example, text documents viability on several challenging text classification tasks. 1. Introduction Many realworld datasets can
LABORATORY II DESCRIPTION OF MOTION IN TWO DIMENSIONS
Minnesota, University of
Lab II - 1 LABORATORY II DESCRIPTION OF MOTION IN TWO DIMENSIONS In this laboratory you continue the study of accelerated motion in more situations. The carts you used in Laboratory I moved in only one instructor. OBJECTIVES: After successfully completing this laboratory, you should be able to: · Determine
LABORATORY I: DESCRIPTION OF MOTION IN ONE DIMENSION
Minnesota, University of
Lab I - 1 LABORATORY I: DESCRIPTION OF MOTION IN ONE DIMENSION In this laboratory you will measure with your instructor. Remember, one of the reasons for doing physics in a laboratory setting is to help you: After you successfully complete this laboratory, you should be able to: · Describe completely the motion
LABORATORY II DESCRIPTION OF MOTION IN TWO DIMENSIONS
Minnesota, University of
Lab II - 1 LABORATORY II DESCRIPTION OF MOTION IN TWO DIMENSIONS In this laboratory you continue the study of accelerated motion in more situations. The carts you used in Laboratory I moved in only one or your instructor. OBJECTIVES: After successfully completing this laboratory, you should be able to
Yang-Mills like instantons in eight and seven dimensions
E. K. Loginov; E. D. Loginova
2014-10-10
We consider a gauge theory in which a nonassociative Moufang loop takes the place of a structure group. We construct Belavin-Polyakov-Schwartz-Tyupkin (BPST) and t'Hooft like instanton solutions of the gauge theory in seven and eight dimensions.
Fusion Frames and Robust Dimension Reduction Ali Pezeshki
Kutyniok, Gitta
Fusion Frames and Robust Dimension Reduction Ali Pezeshki Princeton University Princeton, NJ 08544 fusion frame measurements in presence noise and subspace erasures. Each fusion frame mea- surement is a low-dimensional vector whose elements are inner products of an orthogonal basis for a fusion frame
The Post Anachronism: The Temporal Dimension of Facebook Privacy
Bauer, Lujo
The Post Anachronism: The Temporal Dimension of Facebook Privacy Lujo Bauer , Lorrie Faith Cranor the audience and emphasis of Facebook posts change over time. In a 63-participant longitudinal study, par- ticipants gave their audience and emphasis preferences for up to ten of their Facebook posts in the week
PRIMITIVE ALGEBRAS WITH ARBITRARY GELFAND-KIRILLOV DIMENSION
Vishne, Uzi
(1), (1999), 151-158 1. Preliminaries Let A be an affine k-algebra. The Gelfand-Kirillov dimension [6 A is finite dimensional. Otherwise GKdim(A) 1, and by Bergman's gap theorem [3], ei- ther GKdim(A) = 1 (in
A note on Farey sequences and Hausdorff dimension
Wellington da Cruz
1999-02-15
We prove that the Farey sequences can be express into equivalence classes labeled by a fractal parameter which looks like a Hausdorff dimension $h$ defined within the interval 1 < h < 2. The classes $h$ satisfy the same properties of the Farey series and for each value of $h$ there exists an algebraic equation.
Independent Control of Multiple Magnetic Microrobots in Three Dimensions
Sitti, Metin
Independent Control of Multiple Magnetic Microrobots in Three Dimensions Eric Diller, Joshua method to independently control multiple sub-mm microrobots in three dimen- sions (3D) using magnetic of geometrically or magnetically distinct microrobots which assume different magnetization directions in a rotating
$?$-Minkowski star product in any dimension from symplectic realization
Anna Pachol; Patrizia Vitale
2015-10-25
We derive an explicit expression for the star product reproducing the $\\kappa$-Minkowski Lie algebra in any dimension $n$. The result is obtained by suitably reducing the Wick-Voros star product defined on $\\mathbb{C}^{d}_\\theta$ with $n=d+1$. It is thus shown that the new star product can be obtained from a Jordanian twist.
Bounds on Scattering Poles in One Dimension Michael Hitrik
Hitrik, Michael
1 Bounds on Scattering Poles in One Dimension Michael Hitrik Department of Mathematics, University-exponentially decaying potentials on the real line sharp upper bounds on the counting function of the poles in discs are derived and the density of the poles in strips is estimated. In the case of nonnegative potentials
Fournier, John J.F.
. It is called the specific heat of the body. · The rate at which heat energy crosses a surface is proportional), so the rate at which heat energy crosses the right hand end is AT x (x + dx, t). Similarly, the rateThe Heat Equation (One Space Dimension) In these notes we derive the heat equation for one space
Destabilization of Neutron Stars by Type I Dimension Bubbles
E. I. Guendelman; J. R. Morris
2005-01-16
An inhomogeneous compactification of a higher dimensional spacetime can result in the formation of type I dimension bubbles, i.e., nontopological solitons which tend to absorb and entrap massive particle modes. We consider possible consequences of a neutron star that harbors such a soliton. The astrophysical outcome depends upon the model parameters for the dimension bubble, with a special sensitivity to the bubble's energy scale. For relatively small energy scales, the bubble tends to rapidly consume the star without forming a black hole. For larger energy scales, the bubble grows to a critical mass, then forms a black hole within the star, which subsequently causes the remaining star to collapse. It is possible that the latter scenario is associated with core collapse explosions and gamma ray bursts.
Particle Creation by Naked Singularities in Higher Dimensions
Umpei Miyamoto; Hiroya Nemoto; Masahiro Shimano
2011-03-28
Recently, the possibility was pointed out by one of the present authors and his collaborators that an effective naked singularity referred to as "a visible border of spacetime" is generated by high-energy particle collision in the context of large extra dimensions or TeV-scale gravity. In this paper, we investigate the particle creation by a naked singularity in general dimensions, while adopting a model in which a marginally naked singularity forms in the collapse of a homothetic lightlike pressureless fluid. We find that the spectrum deviates from that of Hawking radiation due to scattering near the singularity but can be recast in quasi-thermal form. The temperature is always higher than that of Hawking radiation of a same-mass black hole, and can be arbitrarily high depending on a parameter in the model. This implies that, in principle, the naked singularity may be distinguished from a black hole in collider experiments.
Particle creation by naked singularities in higher dimensions
Miyamoto, Umpei; Nemoto, Hiroya; Shimano, Masahiro
2011-04-15
Recently, the possibility was pointed out by one of the present authors and his collaborators that an effective naked singularity referred to as ''a visible border of spacetime'' is generated by high-energy particle collision in the context of large extra dimensions or TeV-scale gravity. In this paper, we investigate the particle creation by a naked singularity in general dimensions, while adopting a model in which a marginally naked singularity forms in the collapse of a homothetic lightlike pressureless fluid. We find that the spectrum deviates from that of Hawking radiation due to scattering near the singularity but can be recast in quasithermal form. The temperature is always higher than that of Hawking radiation of a same-mass black hole, and can be arbitrarily high depending on a parameter in the model. This implies that, in principle, the naked singularity may be distinguished from a black hole in collider experiments.
Stable heteronuclear few-atom bound states in mixed dimensions
Yin Tao; Zhang Peng; Zhang Wei [Department of Physics, Renmin University of China, Beijing 100872 (China)
2011-11-15
We study few-body problems in mixed dimensions where two or three heavy atoms are trapped individually in parallel one-dimensional tubes or two-dimensional disks and a single light atom travels freely in three dimensions. Using the Born-Oppenheimer approximation, we find three- and four-body bound states for a broad parameter region. Specifically, the existence of trimer and tetramer states persists to the negative scattering length regime, where no two-body bound state is present. As pointed out by Y. Nishida in an earlier work [Phys. Rev. A 82, 011605(R) (2010)], these few-body bound states are stable against three-body recombination due to geometric separation. In addition, we find that the binding energy of the ground trimer and tetramer state reaches its maximum value when the scattering lengths are comparable to the separation between the low-dimensional traps.
Low-energy potential scattering in two and three dimensions
N. N. Khuri; Andre Martin; Jean-Marc Richard; Tai Tsun Wu
2009-06-10
Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a function of the momentum is also derived for longer-range power-law potentials which do not fulfill these conditions.
Team Massachusetts Brings a Fourth Dimension to the Solar Decathlon
Broader source: Energy.gov [DOE]
Team Massachusetts is bringing a unique perspective to the Solar Decathlon this fall. You might say it is a fourth dimension because of the team’s newly constructed 4D Home. But it could also be argued that it is because the Massachusetts College of Art and Design and University of Massachusetts Lowell are collaborating for the team’s first entry into the biannual competition, and they’re both public institutions.
Asymptotically flat anisotropic space-time in 5 dimensions
Manavendra Mahato; Ajay Pratap Singh
2014-09-28
We construct and investigate non conformal anisotropic Bianchi type VII solutions in 5 dimensions. The solutions are asymptotically flat, but they contain a naked singularity at the origin. We also construct solutions of Einstein-Maxwell gravity using the method employed in Majumdar -Papapetrou solutions with various profiles of charged dust. In a fictitious case of negative matter density, we obtain a solution with horizon hiding the singularity.
Zero point energy on extra dimension: Noncommutative Torus
S. Fabi; B. Harms; G. Karatheodoris
2007-04-25
In this paper we calculate the zero point energy density experienced by observers on M^4 due to a massless scalar field defined throughout M^4 x T^2_F, where T^2_F are fuzzy extra dimensions. Using the Green's function approach we calculate the energy density for the commutative torus and the fuzzy torus. We calculate then the energy density for the fuzzy torus using the Hamiltonian approach. Agreement is shown between Green's function and Hamiltonian approaches.
Garcia, Kristina Marie
2012-07-16
) occupational. With regard to these six dimensions of wellness, the purpose of this study was to conduct a naturalistic inquiry among graduating health education majors to evaluate which particular dimension of wellness was most influenced or impacted...
Note on the Kaplan{Yorke dimension and linear transport coecients
Roma "La Sapienza", Università di
Note on the Kaplan{Yorke dimension and linear transport coeÆcients Denis J. Evans, #3; E. G. D the Kaplan{Yorke dimension, phase space contraction, transport coeÆcients and the maximal Lyapunov exponents. A new expression for the linear transport coeÆcients in terms of the Kaplan{Yorke dimension is derived
Dominant dimensions, derived equivalences and tilting modules Hongxing Chen and Changchang Xi
Xi, Changchang
Dominant dimensions, derived equivalences and tilting modules Hongxing Chen and Changchang Xi by understanding this conjecture in the context of derived categories, we study dominant dimensions of algebras under derived equivalences induced by tilting modules, specifically, the infinity of dominant dimensions
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page| Open Energy Information Serbia-EnhancingEtGeorgia: EnergyMaryland:Meadow Lake,Maine:RemovePDFImageDimensions Jump to:
Static spherically symmetric solutions for conformal gravity in three dimensions
Julio Oliva; David Tempo; Ricardo Troncoso
2009-05-10
Static spherically symmetric solutions for conformal gravity in three dimensions are found. Black holes and wormholes are included within this class. Asymptotically the black holes are spacetimes of arbitrary constant curvature, and they are conformally related to the matching of different solutions of constant curvature by means of an improper conformal transformation. The wormholes can be constructed from suitable identifications of a static universe of negative spatial curvature, and it is shown that they correspond to the conformal matching of two black hole solutions with the same mass.
Search for universal extra dimensions in ppbar collisions
Abazov, Victor Mukhamedovich; Abbott, Braden Keim; Acharya, Bannanje Sripath; Adams, Mark Raymond; Adams, Todd; Alexeev, Guennadi D.; Alkhazov, Georgiy D.; Alton, Andrew K.; Alverson, George O.; Aoki, Masato; Askew, Andrew Warren; /Florida State U. /Stockholm U.
2011-12-01
We present a search for Kaluza-Klein (KK) particles predicted by models with universal extra dimensions (UED) using a data set corresponding to an integrated luminosity of 7.3 fb{sup -1}, collected by the D0 detector at a p{bar p} center of mass energy of 1.96 TeV. The decay chain of KK particles can lead to a final state with two muons of the same charge. This signature is used to set a lower limit on the compactification scale of R{sup -1} > 260 GeV in a minimal UED model.
Bimetric Gravity From Adjoint Frame Field In Four Dimensions
Guo, Zhi-Qiang
2015-01-01
We provide a novel model of gravity by using adjoint frame fields in four dimensions. It has a natural interpretation as a gravitational theory of a complex metric field, which describes interactions between two real metrics. The classical solutions establish three appealing features. The spherical symmetric black hole solution has an additional hair, which includes the Schwarzschild solution as a special case. The de Sitter solution is realized without introducing a cosmological constant. The constant flat background breaks the Lorentz invariance spontaneously, although the Lorentz breaking effect can be localized to the second metric while the first metric still respects the Lorentz invariance.
Method of forming cavitated objects of controlled dimension
Anderson, P.R.; Miller, W.J.
1981-02-11
A method is disclosed of controllably varying the dimensions of cavitated objects such as hollow spherical shells wherein a precursor shell is heated to a temperature above the shell softening temperature in an ambient atmosphere wherein the ratio of gases which are permeable through the shell wall at that temperature to gases which are impermeable through the shell wall is substantially greater than the corresponding ratio for gases contained within the precursor shell. As the shell expands, the partial pressures of permeable gases internally and externally of the shell approach and achieve equilibrium, so that the final shell size depends solely upon the difference in impermeable gas partial pressures and shell surface tension.
Near field optical probe for critical dimension measurements
Stallard, Brian R. (Albuquerque, NM); Kaushik, Sumanth (Cambridge, MA)
1999-01-01
A resonant planar optical waveguide probe for measuring critical dimensions on an object in the range of 100 nm and below. The optical waveguide includes a central resonant cavity flanked by Bragg reflector layers with input and output means at either end. Light is supplied by a narrow bandwidth laser source. Light resonating in the cavity creates an evanescent electrical field. The object with the structures to be measured is translated past the resonant cavity. The refractive index contrasts presented by the structures perturb the field and cause variations in the intensity of the light in the cavity. The topography of the structures is determined from these variations.
Near field optical probe for critical dimension measurements
Stallard, B.R.; Kaushik, S.
1999-05-18
A resonant planar optical waveguide probe for measuring critical dimensions on an object in the range of 100 nm and below is disclosed. The optical waveguide includes a central resonant cavity flanked by Bragg reflector layers with input and output means at either end. Light is supplied by a narrow bandwidth laser source. Light resonating in the cavity creates an evanescent electrical field. The object with the structures to be measured is translated past the resonant cavity. The refractive index contrasts presented by the structures perturb the field and cause variations in the intensity of the light in the cavity. The topography of the structures is determined from these variations. 8 figs.
Can the Cabibbo mixing originate from noncommutative extra dimensions?
A. M. Gavrilik
2000-12-20
Treating hadronic flavor symmetries with quantum algebras U_q(su_n) leads to interesting consequences such as: new mass sum rules for hadrons 1^-, (1/2)^+, (3/2)^+ of improved accuracy; possibility to label different flavors topologically - by torus winding number; properly fixed deformation parameter q in case of baryons is linked in a simplest way to the Cabibbo angle \\theta_C, that suggests for \\theta_C the exact value {\\pi}/{14}. In this connection, we discuss the possibility that this angle and the Cabibbo mixing as a whole take its origin in noncommutativity of some additional, with regard to 3+1, space-time dimensions.
Detecting Extra Dimension by Helium-like Ions
Yu-Xiao Liu; Xin-Hui Zhang; Yi-Shi Duan
2007-11-26
Considering that gravitational force might deviate from Newton's inverse-square law and become much stronger in small scale, we present a method to detect the possible existence of extra dimensions in the ADD model. By making use of an effective variational wave function, we obtain the nonrelativistic ground energy of a helium atom and its isoelectronic sequence. Based on these results, we calculate gravity correction of the ADD model. Our calculation may provide a rough estimation about the magnitude of the corresponding frequencies which could be measured in later experiments.
The Casimir Force in Randall Sundrum Models with q+1 dimensions
Mariana Frank; Nasser Saad; Ismail Turan
2008-07-02
We evaluate the Casimir force between two parallel plates in Randall Sundrum (RS) scenarios extended by q compact dimensions. After giving exact expressions for one extra compact dimension (RS 6D model), we generalize to an arbitrary number of compact dimensions. We present the complete calculation for both two brane scenario (RSI model) and one brane scenario (RSII models) using the method of summing over the modes. We investigate the effects of extra dimensions on the magnitude and sign of the force, and comment on limits for the size and number of the extra dimensions.
Exploring Small Extra Dimensions at the Large Hadron Collider
B. C. Allanach; K. Odagiri; M. J. Palmer; M. A. Parker; A. Sabetfakhri; B. R. Webber
2002-11-13
Many models that include small extra space dimensions predict graviton states which are well separated in mass, and which can be detected as resonances in collider experiments. It has been shown that the ATLAS detector at the Large Hadron Collider can identify such narrow states up to a mass of 2080 GeV in the decay mode G->ee, using a conservative model. This work extends the study of the ee channel over the full accessible parameter space, and shows that the reach could extend as high as 3.5 TeV. It then discusses ways in which the expected universal coupling of the resonance can be confirmed using other decay modes. In particular, the mode G-> di-photons is shown to be measurable with good precision, which would provide powerful confirmation of the graviton hypothesis. The decays G-> mu mu, WW, ZZ and jet--jet are measurable over a more limited range of couplings and masses. Using information from mass and cross-section measurements, the underlying parameters can be extracted. In one test model, the size of the extra dimension can be determined to a precision in length of 7x10^-33 m.
Massive "spin-2" theories in arbitrary $D \\ge 3$ dimensions
D. Dalmazi; A. L. R. dos Santos; E. L. Mendonça
2014-08-28
Here we show that in arbitrary dimensions $D\\ge 3$ there are two families of second order Lagrangians describing massive "spin-2" particles via a nonsymmetric rank-2 tensor. They differ from the usual Fierz-Pauli theory in general. At zero mass one of the families is Weyl invariant. Such massless theory has no particle content in $D=3$ and gives rise, via master action, to a dual higher order (in derivatives) description of massive spin-2 particles in $D=3$ where both the second and the fourth order terms are Weyl invariant, contrary to the linearized New Massive Gravity. However, only the fourth order term is invariant under arbitrary antisymmetric shifts. Consequently, the antisymmetric part of the tensor $e_{[\\mu\
Diesel lube oils; Fourth dimension of diesel particulate control
Springer, K.J. (Southwest Research Institute, San Antonio, TX (US))
1989-07-01
Particulate emission control, for the HD diesel engine, has previously been considered a three-dimensional problem involving: combustion of the fuel by the engine, fuel modification, and exhaust aftertreatment. The lube oil contribution may be considered a fourth dimension of the problem. Historically, the heavy-duty engine manufacturer has met emission standards for smoke (1968 to present), CO, HC, and NOx (1974 to present) and particulates (1988 to present) through changes in engine design. This paper used the allocation method to estimate the reduction in lube oil consumption needed to meet 1991 and 1994 U.S. particulate emission standards. This analysis places the contribution of lube oil as a source of exhaust particulates into prospective with the contributions from fuel sulfur and fuel combustion. An emissions control strategy to meet future regulations is offered in which reductions from fuel modification, combustion improvement, reduced lube oil consumption, and exhaust particulate trap-catalysts are all involved.
Dirac equation in low dimensions: The factorization method
J. A. Sanchez-Monroy; C. J. Quimbay
2014-09-30
We present a general approach to solve the (1+1) and (2+1)-dimensional Dirac equation in the presence of static scalar, pseudoscalar and gauge potentials, for the case in which the potentials have the same functional form and thus the factorization method can be applied. We show that the presence of electric potentials in the Dirac equation leads to a two Klein-Gordon equations including an energy-dependent potential. We then generalize the factorization method for the case of energy-dependent Hamiltonians. Additionally, the shape invariance is generalized for a specific class of energy-dependent Hamiltonians. We also present a condition for the absence of the Klein's paradox (stability of the Dirac sea), showing how Dirac particles in low dimensions can be confined for a wide family of potentials.
Fermion Generations from "Apple-Shaped" Extra Dimensions
Merab Gogberashvili; Pavle Midodashvili; Douglas Singleton
2007-08-13
We examine the behavior of fermions in the presence of an internal compact 2-manifold which in one of the spherical angles exhibits a conical character with an obtuse angle. The extra manifold can be pictured as an apple-like surface i.e. a sphere with an extra "wedge" insert. Such a surface has conical singularities at north and south poles. It is shown that for this setup one can obtain, in four dimensions, three trapped massless fermion modes which differ from each other by having different values of angular momentum with respect to the internal 2-manifold. The extra angular momentum acts as the family label and these three massless modes are interpreted as the three generations of fundamental fermions.
Brane solutions of a spherical sigma model in six dimensions
Hyun Min Lee; Antonios Papazoglou
2004-11-16
We explore solutions of six dimensional gravity coupled to a non-linear sigma model, in the presence of co-dimension two branes. We investigate the compactifications induced by a spherical scalar manifold and analyze the conditions under which they are of finite volume and singularity free. We discuss the issue of single-valuedness of the scalar fields and provide some special embedding of the scalar manifold to the internal space which solves this problem. These brane solutions furnish some self-tuning features, however they do not provide a satisfactory explanation of the vanishing of the effective four dimensional cosmological constant. We discuss the properties of this model in relation with the self-tuning example based on a hyperbolic sigma model.
Extra dimensions and neutrinoless double beta decay experiments
Gozdz, Marek; Kaminski, Wieslaw A.; Faessler, Amand [Theoretical Physics Department, Maria Curie-Sklodowska University, Lublin (Poland); Institute fuer Theoretische Physik, Universitaet Tuebingen, Auf der Morgenstelle 14, D-72076 Tuebingen (Germany)
2005-05-01
The neutrinoless double beta decay is one of the few phenomena, belonging to the nonstandard physics, which is extensively being sought for in experiments. In the present paper the link between the half-life of the neutrinoless double beta decay and theories with large extra dimensions is explored. The use of the sensitivities of currently planned 0{nu}2{beta} experiments: DAMA, CANDLES, COBRA, DCBA, CAMEO, GENIUS, GEM, MAJORANA, MOON, CUORE, EXO, and XMASS, gives the possibility for a nondirect 'experimental' verification of various extra dimensional scenarios. We discuss also the results of the Heidelberg-Moscow Collaboration. The calculations are based on the Majorana neutrino mass generation mechanism in the Arkani-Hamed-Dimopoulos-Dvali model.
Higher Derivative Corrections to Charged Fluids in 2n Dimensions
Banerjee, Nabamita; Jain, Akash
2015-01-01
We study anomalous charged fluid in $2n$-dimensions ($n\\geq 2$) up to sub-leading derivative order. Only the effect of gauge anomaly is important at this order. Using the Euclidean partition function formalism, we find the constraints on different sub-leading order transport coefficients appearing in parity-even and odd sectors of the fluid. We introduce a new mechanism to count different fluid data at arbitrary derivative order. We show that only the knowledge of independent scalar-data is sufficient to find the constraints. In appendix we further extend this analysis to obtain fluid data at sub-sub-leading order (where both gauge and gravitational anomaly contribute) for parity-odd fluid.
Higher Derivative Corrections to Charged Fluids in 2n Dimensions
Nabamita Banerjee; Suvankar Dutta; Akash Jain
2015-02-25
We study anomalous charged fluid in $2n$-dimensions ($n\\geq 2$) up to sub-leading derivative order. Only the effect of gauge anomaly is important at this order. Using the Euclidean partition function formalism, we find the constraints on different sub-leading order transport coefficients appearing in parity-even and odd sectors of the fluid. We introduce a new mechanism to count different fluid data at arbitrary derivative order. We show that only the knowledge of independent scalar-data is sufficient to find the constraints. In appendix we further extend this analysis to obtain fluid data at sub-sub-leading order (where both gauge and gravitational anomaly contribute) for parity-odd fluid.
Sparse matrix transform for fast projection to reduced dimension
Theiler, James P; Cao, Guangzhi; Bouman, Charles A
2010-01-01
We investigate three algorithms that use the sparse matrix transform (SMT) to produce variance-maximizing linear projections to a lower-dimensional space. The SMT expresses the projection as a sequence of Givens rotations and this enables computationally efficient implementation of the projection operator. The baseline algorithm uses the SMT to directly approximate the optimal solution that is given by principal components analysis (PCA). A variant of the baseline begins with a standard SMT solution, but prunes the sequence of Givens rotations to only include those that contribute to the variance maximization. Finally, a simpler and faster third algorithm is introduced; this also estimates the projection operator with a sequence of Givens rotations, but in this case, the rotations are chosen to optimize a criterion that more directly expresses the dimension reduction criterion.
Extra dimensions and Seesaw Neutrinos at the International Linear Collider
Tomoyuki Saito; Masaki Asano; Keisuke Fujii; Naoyuki Haba; Shigeki Matsumoto; Takehiro Nabeshima; Yosuke Takubo; Hitoshi Yamamoto; Koichi Yoshioka
2010-11-27
We study the capability of the international linear collider (ILC) to probe extra dimensions via the seesaw mechanism. In the scenario we study, heavy Kaluza-Klein neutrinos generate tiny neutrino masses and, at the same time, have sizable couplings to the standard-model particles. Consequently, a Kaluza-Klein tower of heavy neutrinos (N) can be produced and studied at the ILC through the process: e+e- -> vN followed by N -> Wl decay. We show that the single lepton plus two-jets final states with large missing energy from this signal process will provide a good opportunity to measure the masses and cross sections of Kaluza-Klein neutrinos up to the third level. Furthermore, the neutrino oscillation parameters can be extracted from the flavor dependence of the lowest-mode signals, which give us information about the origin of low-energy neutrino masses.
Anomaly-Free Supersymmetric Models in Six Dimensions
John H. Schwarz
1995-12-11
The conditions for the cancellation of all gauge, gravitational, and mixed anomalies of $N=1$ supersymmetric models in six dimensions are reviewed and illustrated by a number of examples. Of particular interest are models that cannot be realized perturbatively in string theory. An example of this type, which we verify satisfies the anomaly cancellation conditions, is the K3 compactification of the $SO(32)$ theory with small instantons recently proposed by Witten. When the instantons coincide it has gauge group $SO(32) \\times Sp(24)$. Two new classes of models, for which non-perturbative string constructions are not yet known, are also presented. They have gauge groups $SO(2n+8)\\times Sp(n)$ and $SU(n)\\times SU(n)$, where $n$ is an arbitrary positive integer.
Tests of mode-coupling theory in two dimensions
Fabian Weysser; David Hajnal
2011-04-26
We analyze the glassy dynamics of a binary mixtures of hard disks in two dimensions. Predictions of the Mode-Coupling theory(MCT) are tested with extensive Brownian dynamics simulations. Measuring the collective particle density correlation functions in the vicinity of the glass transition we verify four predicted mixing effects. For instance, for large size disparities, adding a small amount of small particles at fixed packing fraction leads to a speed up in the long time dynamics, while at small size disparity it leads to a slowing down. Qualitative features of the non-ergodicity parameters and the $\\beta$-relaxation which both depend in a non-trivial way on the mixing ratio are found in the simulated correlators. Studying one system in detail we are able to determine its ideal MCT glass transition point as $\\phi^c = 0.7948$ and test MCT predictions quantitatively.
Renyi information from entropic effects in one higher dimension
Maghrebi, Mohammad F
2015-01-01
Computing entanglement entropy and its cousins is often challenging even in the simplest continuum and lattice models, partly because such entropies depend nontrivially on all geometric characteristics of the entangling region. Quantum information measures between two or more regions are even more complicated, but contain more, and universal, information. In this paper, we focus on Renyi entropy and information of the order n=2. For a free field theory, we show that these quantities are mapped to the change of the thermodynamic free energy by introducing boundaries subject to Dirichlet and Neumann boundary conditions in one higher dimension. This mapping allows us to exploit the powerful tools available in the context of thermal Casimir effect, specifically a multipole expansion suited for computing the Renyi information between arbitrarily-shaped regions. We provide an alternative representation as a sum over closed-loop polymers, which establishes a connection to purely entropic effects, and proves useful i...
Generalized Duality and Singular Strings in Higher Dimensions
I. Bars; K. Sfetsos
1991-10-24
Deformations of gauged WZW actions are constructed for any pair $(G,H)$ by taking different embeddings of the gauge group $H\\subset G$ as it acts on the left and right of the group element $g$. This leads to models that are dual to each other, generalizing the axial/vector duality of the two dimensional black hole manifold. The classical equations are completely solved for any pair $(G,H)$ and in particular for the anti de Sitter string based on $SO(d- 1,2)/SO(d-1,1)$ for which the normal modes are determined. Duality is demonstrated for models that have the same set of normal modes. Concentrating on $SO(2,2)/SO(2,1)$, the metric and dilaton fields of the $d=3$ string as well as some of the dual generalizations are obtained. They have curvature singularities and represent new singular solutions of Einstein's general relativity in three dimensions.
Extra Dimensions of Space: Are They Going to be Found Soon?
Rubakov, Valery [Institute for Nuclear Research, Moscow, Russia
2010-09-01
Our space may well have more than 3 dimensions. Indeed, theories that pretend to be most fundamental choose to live in higher dimensions: a natural area for superstring/Mtheory is 9- or 10-dimensional space. Extra dimensions have been hidden so far, but they would open up above a certain energy threshold. A fascinating possibility is that this happens within reach of particle colliders. This lecture will address the motivation for such a viewpoint and implications of accessible extra dimensions for our understanding of nature.
Higgs phenomenology in warped extra dimensions with a fourth generation
Frank, Mariana; Korutlu, Beste; Toharia, Manuel [Department of Physics, Concordia University, 7141 Sherbrooke St. West, Montreal Quebec, H4B 1R6 (Canada)
2011-10-01
We study a warped extra-dimension scenario where the standard model fields lie in the bulk, with the addition of a fourth family of fermions. We concentrate on the flavor structure of the Higgs couplings with fermions in the flavor anarchy ansatz. Even without a fourth family, these couplings will be generically misaligned with respect to the standard model fermion mass matrices. The presence of the fourth family typically enhances the misalignment effects and we show that one should expect them to be highly nonsymmetrical in the (34) intergenerational mixing. The radiative corrections from the new fermions and their flavor-violating couplings to the Higgs affect negligibly known experimental precision measurements such as the oblique parameters and Z{yields}bb or Z{yields}{mu}{sup +}{mu}{sup -}. On the other hand, {Delta}F=1, 2 processes, mediated by tree-level Higgs exchange, as well as radiative corrections to b{yields}s{gamma} and {mu}{yields}e{gamma} put some generic pressure on the allowed size of the flavor-violating couplings. But more importantly, these couplings will alter the Higgs decay patterns as well as those of the new fermions, and produce very interesting new signals associated to Higgs phenomenology in high energy colliders. These signals might become very important indirect signals for these type of models as they would be present even when the KK mass scale is high and no heavy KK particle is discovered.
Gamma ray lines from a universal extra dimension
Bertone, G.; Jackson, C. B.; Shaughnessy, G.; Tait, T. M.P.; Vallinotto, A.
2012-03-01
Indirect Dark Matter searches are based on the observation of secondary particles produced by the annihilation or decay of Dark Matter. Among them, gamma-rays are perhaps the most promising messengers, as they do not suffer deflection or absorption on Galactic scales, so their observation would directly reveal the position and the energy spectrum of the emitting source. Here, we study the detailed gamma-ray energy spectrum of Kaluza--Klein Dark Matter in a theory with 5 Universal Extra Dimensions. We focus in particular on the two body annihilation of Dark Matter particles into a photon and another particle, which produces monochromatic photons, resulting in a line in the energy spectrum of gamma rays. Previous calculations in the context of the five dimensional UED model have computed the line signal from annihilations into \\gamma \\gamma, but we extend these results to include \\gamma Z and \\gamma H final states. We find that these spectral lines are subdominant compared to the predicted \\gamma \\gamma signal, but they would be important as follow-up signals in the event of the observation of the \\gamma \\gamma line, in order to distinguish the 5d UED model from other theoretical scenarios.
Dirac equation in low dimensions: The factorization method
Sánchez-Monroy, J.A.; Quimbay, C.J.
2014-11-15
We present a general approach to solve the (1+1) and (2+1)-dimensional Dirac equations in the presence of static scalar, pseudoscalar and gauge potentials, for the case in which the potentials have the same functional form and thus the factorization method can be applied. We show that the presence of electric potentials in the Dirac equation leads to two Klein–Gordon equations including an energy-dependent potential. We then generalize the factorization method for the case of energy-dependent Hamiltonians. Additionally, the shape invariance is generalized for a specific class of energy-dependent Hamiltonians. We also present a condition for the absence of the Klein paradox (stability of the Dirac sea), showing how Dirac particles in low dimensions can be confined for a wide family of potentials. - Highlights: • The low-dimensional Dirac equation in the presence of static potentials is solved. • The factorization method is generalized for energy-dependent Hamiltonians. • The shape invariance is generalized for energy-dependent Hamiltonians. • The stability of the Dirac sea is related to the existence of supersymmetric partner Hamiltonians.
Is the proton radius puzzle an evidence of extra dimensions?
Dahia, F
2015-01-01
The proton charge radius inferred from muonic hydrogen spectroscopy is not compatible with the previous value given by CODATA-2010, which, on its turn, essentially relies on measurements of the electron-proton interaction. The proton's new size was extracted from the 2S-2P Lamb shift in the muonic hydrogen, which showed an energy excess of 0.3 meV in comparison to the theoretical prediction, evaluated with the CODATA radius. Higher-dimensional gravity is a candidate to explain this discrepancy, since the muon-proton gravitational interaction is stronger than the electron-proton interaction and, in the context of braneworld models, the gravitational potential can be hugely amplified in short distances when compared to the Newtonian potential. Motivated by these ideas, we study a muonic hydrogen confined in a thick brane. We show that the muon-proton gravitational interaction modified by extra dimensions can provide the additional separation of 0.3 meV between 2S and 2P states. In this scenario, the gravitation...
Is the proton radius puzzle an evidence of extra dimensions?
F. Dahia; A. S. Lemos
2015-09-29
The proton charge radius inferred from muonic hydrogen spectroscopy is not compatible with the previous value given by CODATA-2010, which, on its turn, essentially relies on measurements of the electron-proton interaction. The proton's new size was extracted from the 2S-2P Lamb shift in the muonic hydrogen, which showed an energy excess of 0.3 meV in comparison to the theoretical prediction, evaluated with the CODATA radius. Higher-dimensional gravity is a candidate to explain this discrepancy, since the muon-proton gravitational interaction is stronger than the electron-proton interaction and, in the context of braneworld models, the gravitational potential can be hugely amplified in short distances when compared to the Newtonian potential. Motivated by these ideas, we study a muonic hydrogen confined in a thick brane. We show that the muon-proton gravitational interaction modified by extra dimensions can provide the additional separation of 0.3 meV between 2S and 2P states. In this scenario, the gravitational energy depends on the higher-dimensional Planck mass and indirectly on the brane thickness. Studying the behavior of the gravitational energy with respect to the brane thickness in a realistic range, we find constraints for the fundamental Planck mass that solve the proton radius puzzle and are consistent with previous experimental bounds.
Social impact assessment - new dimensions in project planning
Jones, M.G.; Hartog, J.J.; Sykes, R.M.
1996-11-01
The Objective of the presentation is to provide understanding of how to improve attention to the social dimensions of EP projects. Social Impacts are the consequences to human populations, communities or individuals resulting from a project or activity. Such impacts may change the way in which people live, relate to one another, organize and cope as members of society. There is an increasing demand and expectation that Exploration and Production activities will both understand their impacts and define benefits for the local communities. Social Impact Assessment can be considered a branch of Environmental Impact Assessment. It has become a tool in its own fight due to the focus that was paid to the natural and physical issues within the EIA process. However there are still strong alignments and the wise project planner will integrate social and environmental issues within their project planning process. This can be done through a combination of studies but can result in a single report. The benefits of SIA will be demonstrated to include: (1) obtaining approvals (2) forward planning and design (3) increased project success-benefits to local community (4) economic benefits (5) decision making by management The types of impacts including demographic, socioeconomic, health, social infrastructure, resources, psychological and community, cultural and social equity will be reviewed. Methods and techniques to identify and assess impacts will be addressed. One of the main challenges in SIA is to reach the right audience. Methods to scope studies and implement consultation will be addressed.
Evidence of gravitons as fused photons in four dimensions
Z R Adam
2009-06-02
A model of graviton momentum transfer was constructed to investigate a conjecture that gravitons are fused photons propagating in four dimensions. The model describes gravitational attraction between two bodies, each of simplified geometric shape and comprised of a calculable number of massive particles (quarks and leptons), as a probabilistic quantized mechanism of graviton scattering that gives rise to gravitational momentum flux. Earth-Human, Moon-Human, and Earth-Moon gravitational systems were investigated to solve for the wavelength of photons that comprise the graviton. The calculated wavelength for each system was approximately equal to the predicted value of the Planck length, which is interpreted as evidence that gravitons may be formed as fused four dimensional photons. The results corroborate current thinking about the temperature at which gravity separated from a unified force during the Big Bang, while explaining the weakness of the gravitational force from the atomic to the sub-planetary scale. Extension of the model produces unique, testable predictions arising from the averaged quantum properties of the graviton as fused photons, and the general model approach may be compatible with other efforts to describe the inner structure of the graviton.
Thermodynamics of SU(3) Gauge Theory in 2 + 1 Dimensions
P. Bialas; L. Daniel; A. Morel; B. Petersson
2008-07-21
The pressure, and the energy and entropy densities are determined for the SU(3) gauge theory in $2 + 1$ dimensions from lattice Monte Carlo calculations in the interval $0.6 \\leq T/T_c \\leq 15$. The finite temperature lattices simulated have temporal extent $N_\\tau = 2, 4, 6$ and 8, and spatial volumes $N_S^2$ such that the aspect ratio is $N_S/N_\\tau = 8$. To obtain the thermodynamical quantities, we calculate the averages of the temporal plaquettes $P_\\tau$ and the spatial plaquettes $P_S$ on these lattices. We also need the zero temperature averages of the plaquettes $P_0$, calculated on symmetric lattices with $N_\\tau = N_S$. We discuss in detail the finite size ($N_S$-dependent) effects. These disappear exponentially. For the zero temperature lattices we find that the coefficient of $N_S$ in the exponent is of the order of the glueball mass. On the finite temperature lattices it lies between the two lowest screening masses. For the aspect ratio equal to eight, the systematic errors coming from the finite size effects are much smaller than our statistical errors. We argue that in the continuum limit, at high enough temperature, the pressure can be parametrized by the very simple formula $p=a-bT_c/T$ where $a$ and $b$ are two constants. Using the thermodynamical identities for a large homogeneous system, this parametrization then determines the other thermodynamical variables in the same temperature range.
Global Fits of the Minimal Universal Extra Dimensions Scenario
Bertone, Gianfranco; Kong, Kyoungchul; de Austri, Roberto Ruiz; Trotta, Roberto; /Imperial Coll., London
2012-06-22
In theories with Universal Extra-Dimensions (UED), the {gamma}{sub 1} particle, first excited state of the hypercharge gauge boson, provides an excellent Dark Matter (DM) candidate. Here we use a modified version of the SuperBayeS code to perform a Bayesian analysis of the minimal UED scenario, in order to assess its detectability at accelerators and with DM experiments. We derive in particular the most probable range of mass and scattering cross sections off nucleons, keeping into account cosmological and electroweak precision constraints. The consequences for the detectability of the {gamma}{sub 1} with direct and indirect experiments are dramatic. The spin-independent cross section probability distribution peaks at {approx} 10{sup -11} pb, i.e. below the sensitivity of ton-scale experiments. The spin-dependent cross-section drives the predicted neutrino flux from the center of the Sun below the reach of present and upcoming experiments. The only strategy that remains open appears to be direct detection with ton-scale experiments sensitive to spin-dependent cross-sections. On the other hand, the LHC with 1 fb{sup -1} of data should be able to probe the current best-fit UED parameters.
The Voronoi Tessellation Cluster Finder in 2 1 Dimensions
Soares-Santos, Marcelle; /Fermilab /Sao Paulo U.; de Carvalho, Reinaldo R.; /Sao Jose, INPE; Annis, James; /Fermilab; Gal, Roy R.; /Hawaii U.; La Barbera, Francesco; /Capodimonte Observ.; Lopes, Paulo A.A.; /Valongo Observ.; Wechsler, Risa H.; Busha, Michael T.; Gerke, Brian F.; /SLAC /KIPAC, Menlo Park
2011-06-23
We present a detailed description of the Voronoi Tessellation (VT) cluster finder algorithm in 2+1 dimensions, which improves on past implementations of this technique. The need for cluster finder algorithms able to produce reliable cluster catalogs up to redshift 1 or beyond and down to 10{sup 13.5} solar masses is paramount especially in light of upcoming surveys aiming at cosmological constraints from galaxy cluster number counts. We build the VT in photometric redshift shells and use the two-point correlation function of the galaxies in the field to both determine the density threshold for detection of cluster candidates and to establish their significance. This allows us to detect clusters in a self-consistent way without any assumptions about their astrophysical properties. We apply the VT to mock catalogs which extend to redshift 1.4 reproducing the ?CDM cosmology and the clustering properties observed in the Sloan Digital Sky Survey data. An objective estimate of the cluster selection function in terms of the completeness and purity as a function of mass and redshift is as important as having a reliable cluster finder. We measure these quantities by matching the VT cluster catalog with the mock truth table. We show that the VT can produce a cluster catalog with completeness and purity >80% for the redshift range up to {approx}1 and mass range down to {approx}10{sup 13.5} solar masses.
Exploring Small Extra Dimensions at the Large Hadron Collider
Allanach, Benjamin C; Palmer, M J; Parker, M A; Sabetfakhri, A; Webber, Bryan R
2002-01-01
Many models that include small extra space dimensions predict graviton states which are well separated in mass, and which can be detected as resonances in collider experiments. It has been shown that the ATLAS detector at the Large Hadron Collider can identify such narrow states up to a mass of 2080 GeV in the decay mode $Gightarrow e^+e^-$, using a conservative model. This work extends the study of the $e^+e^-$ channel over the full accessible parameter space, and shows that the reach could extend as high as 3.5 TeV. It then discusses ways in which the expected universal coupling of the resonance can be confirmed using other decay modes. In particular, the mode $Gightarrow gammagamma$ is shown to be measurable with good precision, which would provide powerful confirmation of the graviton hypothesis. The decays $Gightarrow mu^+mu^-, W^+W^-, Z^0Z^0$ and jet--jet are measurable over a more limited range of couplings and masses. Using information from mass and cross-section measurements, the underlying parameter...
A Superstring Theory in Four Curved Space-Time Dimensions
I. Bars; K. Sfetsos
1991-11-20
Neveu-Schwarz-Ramond type heterotic and type-II superstrings in four dimensional curved space-time are constructed as exact $N=1$ superconformal theories. The tachyon is eliminated with a GSO projection. The theory is based on the N=1 superconformal gauged WZW model for the anti-de Sitter coset $SO(3,2)/SO(3,1)$ with integer central extension $k=5$. The model has dynamical duality properties in its space-time metric that are similar to the large-small ($R\\rightarrow 1/R$) duality of tori. To first order in a $1/k$ expansion we give expressions for the metric, the dilaton, the Ricci tensor and their dual generalizations. The curvature scalar has several singularities at various locations in the 4-dimensional manifold. This provides a new singular solution to Einstein's equations in the presence of matter in four dimensions. A non-trivial path integral measure which we conjectured in previous work for gauged WZW models is verified.
Mechanism Mobility and a Local Dimension Test Charles W. Wampler1,2,
Hauenstein, Jonathan
is mathematically equivalent to the dimension of the solution set of the kinematic loop equations for the mechanismMechanism Mobility and a Local Dimension Test Charles W. Wampler1,2, General Motors Research The mobility of a mechanism is the number of degrees of freedom (DOF) with which it may move. This notion
ON THE DIMENSION OF SOLAR ATTRACTOR V.M. OSTRYAKOV andI. G. USOSKIN
Usoskin, Ilya G.
., 1983). To construct a model of solar activity on a long time-scale one should take into accountON THE DIMENSION OF SOLAR ATTRACTOR V.M. OSTRYAKOV andI. G. USOSKIN A. F. loffe Physico numbers and radiocarbon data (c), we have obtained the dimensions d of the solar attractor which are: 3
Automatic detection of dimension errors in spreadsheets Chris Chambers, Martin Erwig
Erwig, Martin
University, USA a r t i c l e i n f o Keywords: Spreadsheet Dimension Unit of measurement Static analysis Inference rule Error detection a b s t r a c t We present a reasoning system for inferring dimension information in spreadsheets. This system can be used to check the consistency of spreadsheet formulas and thus
Comment on the shape of Hydrogen equation in spaces of arbitrary dimension
M. Ya. Amusia
2015-02-20
We note that presenting Hydrogen atom Schrodinger equation in the case of arbitrary dimensions require simultaneous modification of the Coulomb potential that only in three dimensions has the form Z/r . This was not done in a number of relatively recent papers [1-5]. Therefore some results obtained there seem to be doubtful. Some required considerations in the area are mentioned.
A multivariate analysis of the niches of plant populations in raised bogs. I. Niche dimensions
Johnson, Edward A.
A multivariate analysis of the niches of plant populations in raised bogs. I. Niche dimensions E. A Biologictrl Lrrhorrrrory,WoorlsHole, MA, U.S.A. Received July 19, 1976 JOHNSON,E. A. 1977. A multivariate. A multivariate analysis of the niches of plant populations in raised bogs. I. Niche dimensions. Can. J. Bot. 55
A Dimension Space for Designing Richly Interactive Systems: a Perspective on the MagicBoards
Nigay, Laurence
A Dimension Space for Designing Richly Interactive Systems: a Perspective on the Magic is intended to help designers understand both the physical and virtual entities from which their systems and informational density. The Dimension Space is applied to two new systems developed at Grenoble, exposing design
A Dimension Space for the Design of Interactive Systems within their Physical Environments
Nigay, Laurence
A Dimension Space for the Design of Interactive Systems within their Physical Environments T their systems are built, and the tradeoffs involved in both the design of the entities themselves at Grenoble, exposing design tradeoffs and design rules for richly interactive systems. Keywords Dimension
Adaptive Dimension Reduction Using Discriminant Analysis and K-means Chris Ding CHQDING@LBL.GOV
Li, Tao
Adaptive Dimension Reduction Using Discriminant Analysis and K-means Clustering Chris Ding CHQDING discriminant analysis (LDA) and K-means clustering into a coherent frame- work to adaptively select the most(s)/owner(s). An extension of this approach is the adaptive dimension re- duction approach (Ding et al., 2002; Li et al
Lyapunov instability of rigid diatomic molecules in three dimensions: A simpler method Seungho Choe1
Lee, EokKyun
Lyapunov instability of rigid diatomic molecules in three dimensions: A simpler method Seungho Choe 2007 We present a method to calculate Lyapunov exponents of rigid diatomic molecules in three dimensions 12N-dimensional phase space . The spectra of Lyapunov exponents are obtained for 32 rigid diatomic
THE LYAPUNOV AND DIMENSION SPECTRA OF EQUILIBRIUM MEASURES FOR CONFORMAL EXPANDING MAPS.
THE LYAPUNOV AND DIMENSION SPECTRA OF EQUILIBRIUM MEASURES FOR CONFORMAL EXPANDING MAPS. HOWARD the dimension spectrum for equilibrium measures and the Lyapunov spectrum for conformal repellers. We explicitly compute the Lyapunov spectrum and show that it is a delta function. We observe that while the Lyapunov
Measuring acoustic-prosodic entrainment with respect to multiple levels and dimensions.
Hirschberg, Julia
Measuring acoustic-prosodic entrainment with respect to multiple levels and dimensions. Rivka- ious dimensions. This phenomenon, commonly called entrain- ment, coordination, or alignment, is widely believed to be cru- cial to the success and naturalness of human interactions. We investigate entrainment
Efficient Scheme of Experimental Quantifying non-Markovianity in High-Dimension Systems
S. -J. Dong; B. -H. Liu; Y. -N. Sun; Y. -J. Han; G. -C. Guo; Lixin He
2015-01-29
The non-Markovianity is a prominent concept of the dynamics of the open quantum systems, which is of fundamental importance in quantum mechanics and quantum information. Despite of lots of efforts, the experimentally measuring of non-Markovianity of an open system is still limited to very small systems. Presently, it is still impossible to experimentally quantify the non-Markovianity of high dimension systems with the widely used Breuer-Laine-Piilo (BLP) trace distance measure. In this paper, we propose a method, combining experimental measurements and numerical calculations, that allow quantifying the non-Markovianity of a $N$ dimension system only scaled as $N^2$, successfully avoid the exponential scaling with the dimension of the open system in the current method. After the benchmark with a two-dimension open system, we demonstrate the method in quantifying the non-Markovanity of a high dimension open quantum random walk system.
The Local Dimension: a method to quantify the Cosmic Web
Prakash Sarkar; Somnath Bharadwaj
2008-12-09
It is now well accepted that the galaxies are distributed in filaments, sheets and clusters all of which form an interconnected network known as the Cosmic Web. It is a big challenge to quantify the shapes of the interconnected structural elements that form this network. Tools like the Minkowski functionals which use global properties, though well suited for an isolated object like a single sheet or filament, are not suited for an interconnected network of such objects. We consider the Local Dimension $D$, defined through $N(R)=A R^D$, where $N(R)$ is the galaxy number count within a sphere of comoving radius $R$ centered on a particular galaxy, as a tool to locally quantify the shape in the neigbourhood of different galaxies along the Cosmic Web. We expect $D \\sim 1,2$ and 3 for a galaxy located in a filament, sheet and cluster respectively. Using LCDM N-body simulations we find that it is possible to determine $D$ through a power law fit to $N(R)$ across the length-scales 2 to $10 {\\rm Mpc}$ for $\\sim 33 %$ of the galaxies. We have visually identified the filaments and sheets corresponding to many of the galaxies with $D \\sim 1$ and 2 respectively. In several other situations the structure responsible for the $D$ value could not be visually identified, either due to its being tenuous or due to other dominating structures in the vicinity. We also show that the global distribution of the $D$ values can be used to visualize and interpret how the different structural elements are woven into the Cosmic Web.
Human dimensions in cyber operations research and development priorities.
Forsythe, James Chris; Silva, Austin Ray; Stevens-Adams, Susan Marie; Bradshaw, Jeffrey
2012-11-01
Within cyber security, the human element represents one of the greatest untapped opportunities for increasing the effectiveness of network defenses. However, there has been little research to understand the human dimension in cyber operations. To better understand the needs and priorities for research and development to address these issues, a workshop was conducted August 28-29, 2012 in Washington DC. A synthesis was developed that captured the key issues and associated research questions. Research and development needs were identified that fell into three parallel paths: (1) human factors analysis and scientific studies to establish foundational knowledge concerning factors underlying the performance of cyber defenders; (2) development of models that capture key processes that mediate interactions between defenders, users, adversaries and the public; and (3) development of a multi-purpose test environment for conducting controlled experiments that enables systems and human performance measurement. These research and development investments would transform cyber operations from an art to a science, enabling systems solutions to be engineered to address a range of situations. Organizations would be able to move beyond the current state where key decisions (e.g. personnel assignment) are made on a largely ad hoc basis to a state in which there exist institutionalized processes for assuring the right people are doing the right jobs in the right way. These developments lay the groundwork for emergence of a professional class of cyber defenders with defined roles and career progressions, with higher levels of personnel commitment and retention. Finally, the operational impact would be evident in improved performance, accompanied by a shift to a more proactive response in which defenders have the capacity to exert greater control over the cyber battlespace.
Rodrigo Alonso; Elizabeth E. Jenkins; Aneesh V. Manohar; Michael Trott
2015-07-27
We calculate the gauge terms of the one-loop anomalous dimension matrix for the dimension-six operators of the Standard Model effective field theory (SM EFT). Combining these results with our previous results for the $\\lambda$ and Yukawa coupling terms completes the calculation of the one-loop anomalous dimension matrix for the dimension-six operators. There are 1350 $CP$-even and $1149$ $CP$-odd parameters in the dimension-six Lagrangian for 3 generations, and our results give the entire $2499 \\times 2499$ anomalous dimension matrix. We discuss how the renormalization of the dimension-six operators, and the additional renormalization of the dimension $d \\le 4$ terms of the SM Lagrangian due to dimension-six operators, lays the groundwork for future precision studies of the SM EFT aimed at constraining the effects of new physics through precision measurements at the electroweak scale. As some sample applications, we discuss some aspects of the full RGE improved result for essential processes such as $gg \\to h$, $h \\to \\gamma \\gamma$ and $h \\to Z \\gamma$, for Higgs couplings to fermions, for the precision electroweak parameters $S$ and $T$, and for the operators that modify important processes in precision electroweak phenomenology, such as the three-body Higgs boson decay $h \\rightarrow Z \\, \\ell^+ \\, \\ell^-$ and triple gauge boson couplings. We discuss how the renormalization group improved results can be used to study the flavor problem in the SM EFT, and to test the minimal flavor violation (MFV) hypothesis. We briefly discuss the renormalization effects on the dipole coefficient $C_{e\\gamma}$ which contributes to $\\mu \\to e \\gamma$ and to the muon and electron magnetic and electric dipole moments.
Boom and Bust Inflation: a Graceful Exit via Compact Extra Dimensions
Adam R. Brown
2008-07-03
A model of inflation is proposed in which compact extra dimensions allow a graceful exit without recourse to flat potentials or super-Planckian field values. Though bubbles of true vacuum are too sparse to uniformly reheat the Universe by colliding with each other, a compact dimension enables a single bubble to uniformly reheat by colliding with itself. This mechanism, which generates an approximately scale invariant perturbation spectrum, requires that inflation be driven by a bulk field, that vacuum decay be slow, and that the extra dimension be at least a hundred times larger than the false vacuum Hubble length.
Arne Goedeke; Alan D. Rendall
2010-02-21
It is known that all spatially homogeneous solutions of the vacuum Einstein equations in four dimensions which exist for an infinite proper time towards the future are future geodesically complete. This paper investigates whether the analogous statement holds in higher dimensions. A positive answer to this question is obtained for a large class of models which can be studied with the help of Kaluza-Klein reduction to solutions of the Einstein-scalar field equations in four dimensions. The proof of this result makes use of a criterion for geodesic completeness which is applicable to more general spatially homogeneous models.
Birkhoff-like theorem for rotating stars in (2+1) dimensions
Skakala, Jozef
2009-01-01
Consider a rotating and possibly pulsating "star" in (2+1) dimensions. If the star is axially symmetric, then in the vacuum region surrounding the star, (a region that we assume at most contains a cosmological constant), we shall show that the Einstein equations imply that the geometry is in fact stationary. Furthermore, the geometry external to the star is uniquely guaranteed to be the (2+1) dimensional analogue of the Kerr-de Sitter spacetime, the BTZ geometry. This Birkhoff-like theorem is very special to (2+1) dimensions, and fails in (3+1) dimensions.
Schweik, Charles M.
in Environmental Policy and Human Dimensions 1 Environmental Conservation Graduate Program Environmental Policy) and is designed for students who want scientific training on environmental policy and other human dimensions policy and administration) and economic systems related to environmental conservation coupled
Nanogratings containing sub-10-nm wide trenches by dimension reduction from sloped polymer profile
Hu, Wenchuang "Walter"
to produce nanostructures over large areas.8 How- ever, fabrication of imprint molds, particularly for ultra to reduce grating dimension is SAFIER, a temperature dependent as high as 160 °C shrinking process in which
Reconstruction of ionization probabilities from spatially averaged data in N dimensions
Stroahaber, James; Kolomenskii, A; Schuessler, Hans
2010-07-06
. In three dimensions, ionization probabilities of Xe were successfully recovered with MPE from simulated (using the Ammosov-Delone-Krainov tunneling theory) ion yields. Finally, we tested our approach with intensity-resolved benzene-ion yields, which show a...
Search for Signatures of Extra Dimensions in the Diphoton Mass Spectrum at the Large Hadron Collider
Bauer, Gerry P.
A search for signatures of extra spatial dimensions in the diphoton invariant-mass spectrum has been performed with the CMS detector at the LHC. No excess of events above the standard model expectation is observed using a ...
Coquand, Thierry
of these constructive versions are due to Joyal, Espa~nol and the authors. We show that the notion of Krull dimension- tributive lattices. The foundations of these constructive versions are due to Joyal, Espa
December 2012 Wheeler-DeWitt Equation in 3 + 1 Dimensions
Hamber, Herbert W.
of the wave functional that fluctuations in the 1 e-mail address : Herbert.Hamber@aei.mpg.de 2 e-mail address the identification of the physical ground state and the accurate calculations of gravitational scaling dimensions
Rajesh Maingi adds a new strategic dimension to fusion and plasma...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Rajesh Maingi adds a new strategic dimension to fusion and plasma physics research By John Greenwald March 14, 2013 Tweet Widget Google Plus One Share on Facebook Rajesh Maingi...
Cheng, Eugenia
so we take the full sub-2-category of this whose 0- cells are the degenerate categories. Monoids k. Now, such an n-category only has non-trivial cells in the top n-k dimensions, so we can perform a "dimension shift" and regard this as an (n - k)-category: the old k-cells become the new 0-cells, the old (k
Apparatus and method for tracking a molecule or particle in three dimensions
Werner, James H. (Los Alamos, NM); Goodwin, Peter M. (Los Alamos, NM); Lessard, Guillaume (Santa Fe, NM)
2009-03-03
An apparatus and method were used to track the movement of fluorescent particles in three dimensions. Control software was used with the apparatus to implement a tracking algorithm for tracking the motion of the individual particles in glycerol/water mixtures. Monte Carlo simulations suggest that the tracking algorithms in combination with the apparatus may be used for tracking the motion of single fluorescent or fluorescently labeled biomolecules in three dimensions.
Non-linear scaling of performance appraisal dimensions: application of the ProMES methodology
Hedley, Amie Lynn
1990-01-01
accurate performance appraisals. The purpose of this research was to examine the performance appraisal results produced by a new measurement method called ProMES. This method accounts for differing importance of the various performance dimensions... and for non-linear relations between a given dimension and overall performance. Several other methods that fail to account for non-linearities and/or differential importance weights were compared with the ProMES system. Performance appraisal data from 123...
Magnetic and Electric Dipole Constraints on Extra Dimensions and Magnetic Fluxes
Aaron J. Roy; Myron Bander
2008-05-10
The propagation of charged particles and gauge fields in a compact extra dimension contributes to $g-2$ of the charged particles. In addition, a magnetic flux threading this extra dimension generates an electric dipole moment for these particles. We present constraints on the compactification size and on the possible magnetic flux imposed by the comparison of data and theory of the magnetic moment of the muon and from limits on the electric dipole moments of the muon, neutron and electron.
Fermionic and Bosonic Stabilizing Effects for Type I and Type II Dimension Bubbles
J. R. Morris
2004-05-21
We consider two types of "dimension bubbles", which are viewed as 4d nontopological solitons that emerge from a 5d theory with a compact extra dimension. The size of the extra dimension varies rapidly within the domain wall of the soliton. We consider the cases of type I (II) bubbles where the size of the extra dimension inside the bubble is much larger (smaller) than outside. Type I bubbles with thin domain walls can be stabilized by the entrapment of various particle modes whose masses become much smaller inside than outside the bubble. This is demonstrated here for the cases of scalar bosons, fermions, and massive vector bosons, including both Kaluza-Klein zero modes and Kaluza-Klein excitation modes. Type II bubbles expel massive particle modes but both types can be stabilized by photons. Plasma filled bubbles containing a variety of massless or nearly massless radiation modes may exist as long-lived metastable states. Furthermore, in contrast to the case with a "gravitational bag", the metric for a fluid-filled dimension bubble does not exhibit a naked singularity at the bubble's center.
The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
Andrey Grozin; Johannes M. Henn; Gregory P. Korchemsky; Peter Marquard
2015-11-27
We present the details of the analytic calculation of the three-loop angle-dependent cusp anomalous dimension in QCD and its supersymmetric extensions, including the maximally supersymmetric $\\mathcal{N}=4$ super Yang-Mills theory. The three-loop result in the latter theory is new and confirms a conjecture made in our previous paper. We study various physical limits of the cusp anomalous dimension and discuss its relation to the quark-antiquark potential including the effects of broken conformal symmetry in QCD. We find that the cusp anomalous dimension viewed as a function of the cusp angle and the new effective coupling given by light-like cusp anomalous dimension reveals a remarkable universality property -- it takes the same form in QCD and its supersymmetric extensions, to three loops at least. We exploit this universality property and make use of the known result for the three-loop quark-antiquark potential to predict the special class of nonplanar corrections to the cusp anomalous dimensions at four loops. Finally, we also discuss in detail the computation of all necessary Wilson line integrals up to three loops using the method of leading singularities and differential equations.
Master Thesis High torque, high impact braking
Daraio, Chiara
to add a break in each actuated joint, so it is not necesary to wasted energy during the stoped time to any sort of actuator, e.g., hidraulic, electric, . . . Even though they have been deeply studied
Critical Dimension for Stable Self-gravitating Stars in AdS
Zhong-Hua Li; Rong-Gen Cai
2009-08-03
We study the self-gravitating stars with a linear equation of state, $P=a \\rho$, in AdS space, where $a$ is a constant parameter. There exists a critical dimension, beyond which the stars are always stable with any central energy density; below which there exists a maximal mass configuration for a certain central energy density and when the central energy density continues to increase, the configuration becomes unstable. We find that the critical dimension depends on the parameter $a$, it runs from $d=11.1429$ to 10.1291 as $a$ varies from $a=0$ to 1. The lowest integer dimension for a dynamically stable self-gravitating configuration should be $d=12$ for any $a \\in [0,1]$ rather than $d=11$, the latter is the case of self-gravitating radiation configurations in AdS space.
Coherence in Large-Scale Networks: Dimension-Dependent Limitations of Local Feedback
Bamieh, Bassam; Mitra, Partha; Patterson, Stacy
2011-01-01
We consider distributed consensus and vehicular formation control problems. Specifically we address the question of whether local feedback is sufficient to maintain coherence in large-scale networks subject to stochastic disturbances. We define macroscopic performance measures which are global quantities that capture the notion of coherence; a notion of global order that quantifies how closely the formation resembles a solid object. We consider how these measures scale asymptotically with network size in the topologies of regular lattices in 1, 2 and higher dimensions, with vehicular platoons corresponding to the 1 dimensional case. A common phenomenon appears where a higher spatial dimension implies a more favorable scaling of coherence measures, with a dimensions of 3 being necessary to achieve coherence in consensus and vehicular formations under certain conditions. In particular, we show that it is impossible to have large coherent one dimensional vehicular platoons with only local feedback. We analyze th...
Trace Anomaly and Dimension Two Gluon Condensate Above the Phase Transition
Megias,E.; Ruiz Arriola, E.; Salcedo, L.L.
2008-02-04
The dimension two gluon condensate has been used previously within a simple phenomenological model to describe power corrections from available lattice data for the renormalized Polyakov loop and the heavy quark-antiquark free energy in the deconfined phase of QCD. The QCD trace anomaly of gluodynamics also shows unequivocal inverse temperature power corrections which may be encoded as dimension two gluon condensate. We analyze lattice data of the trace anomaly and compare with other determinations of the condensate from previous references, yielding roughly similar numerical values.
Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions
Bernd J. Schroers; Matthias Wilhelm
2014-05-20
We consider the deformation of the Poincar\\'e group in 2+1 dimensions into the quantum double of the Lorentz group and construct Lorentz-covariant momentum-space formulations of the irreducible representations describing massive particles with spin 0, 1/2 and 1 in the deformed theory. We discuss ways of obtaining non-commutative versions of relativistic wave equations like the Klein-Gordon, Dirac and Proca equations in 2+1 dimensions by applying a suitably defined Fourier transform, and point out the relation between non-commutative Dirac equations and the exponentiated Dirac operator considered by Atiyah and Moore.
Lower Bounds on the Exchange-Correlation Energy in Reduced Dimensions
Räasänen, E; Capelle, K; Proetto, C R
2009-01-01
Bounds on the exchange-correlation energy of many-electron systems are derived and tested. By using universal scaling properties of the electron-electron interaction, we obtain the exponent of the bounds in three, two, one, and quasi-one dimensions. From the properties of the electron gas in the dilute regime, the tightest estimate to date is given for the numerical prefactor of the bound, which is crucial in practical applications. Numerical tests on various low-dimensional systems are in line with the bounds obtained, and give evidence of an interesting dimensional crossover between two and one dimensions.
Omar Maj
2008-02-12
This is the second part of a work aimed to study complex-phase oscillatory solutions of nonlinear symmetric hyperbolic systems. We consider, in particular, the case of one space dimension. That is a remarkable case, since one can always satisfy the \\emph{naive} coherence condition on the complex phases, which is required in the construction of the approximate solution. Formally the theory applies also in several space dimensions, but the \\emph{naive} coherence condition appears to be too restrictive; the identification of the optimal coherence condition is still an open problem.
Football Shaped Extra Dimensions and the Absence of Self-Tuning
Jaume Garriga; Massimo Porrati
2004-06-28
There have been some recent claims that brane-worlds of co-dimension two in a 6D bulk with compact extra dimensions may lead to self-tuning of the effective 4D cosmological constant. Here we show that if a phase transition occurs on a flat brane, so as to change its tension, then the brane will not remain flat. In other words, there is really no self-tuning in such models, which can in fact be understood in four-dimensional terms and are therefore subject to Weinberg's no-go theorem.
Football Shaped Extra Dimensions and the Absence of Self-Tuning
Garriga, J; Garriga, Jaume; Porrati, Massimo
2004-01-01
There have been some recent claims that brane-worlds of co-dimension two in a 6D bulk with compact extra dimensions may lead to self-tuning of the effective 4D cosmological constant. Here we show that if a phase transition occurs on a flat brane, so as to change its tension, then the brane will not remain flat. In other words, there is really no self-tuning in such models, which can in fact be understood in four-dimensional terms and are therefore subject to Weinberg's no-go theorem.
Complete sets of cyclic mutually unbiased bases in even prime power dimensions
Oliver Kern; Kedar S. Ranade; Ulrich Seyfarth
2009-12-23
We present a construction method for complete sets of cyclic mutually unbiased bases (MUBs) in Hilbert spaces of even prime power dimensions. In comparison to usual complete sets of MUBs, complete cyclic sets possess the additional property of being generated by a single unitary operator. The construction method is based on the idea of obtaining a partition of multi-qubit Pauli operators into maximal commuting sets of orthogonal operators with the help of a suitable element of the Clifford group. As a consequence, we explicitly obtain complete sets of cyclic MUBs generated by a single element of the Clifford group in dimensions $2^m$ for $m=1,2,...,24$.
THE SOCIAL STRUCTURING OF POSTINDUSTRIAL CONFLICT: CITIZEN POSITIONS ON ENVIRONMENTAL DIMENSIONS
Kowalewski, David
1996-04-01
-a-vis industrialists. The third, a Limits-to-Techology dimension, had high loadings for limits-to-growth and skepticism toward science. It taps an anti-developmentalist approach to the environment; respondents scoring high subordinated technocratic values to natural...-a-vis industrialists. The third, a Limits-to-Techology dimension, had high loadings for limits-to-growth and skepticism toward science. It taps an anti-developmentalist approach to the environment; respondents scoring high subordinated technocratic values to natural...
New bounds for the free energy of directed polymers in dimension 1+1 and 1+2
Hubert Lacoin
2009-11-19
We study the free energy of the directed polymer in random environment in dimension 1+1 and 1+2. For dimension 1, we improve the statement of Comets and Vargas concerning very strong disorder by giving sharp estimates on the free energy at high temperature. In dimension 2, we prove that very strong disorder holds at all temperatures, thus solving a long standing conjecture in the field.
Perturbation theory and stability analysis for string-corrected black holes in arbitrary dimensions
Moura, F. [Service de Physique Theorique, Orme des Merisiers, CEA/Saclay, F91191 Gif-sur-Yvette Cedex (France); Centre de Physique Theorique, Ecole Polytechnique, F91128 Palaiseau Cedex (France)
2006-06-19
We develop the perturbation theory for R2 string-corrected black hole solutions in d dimensions. After having obtained the master equation and the {alpha}'-corrected potential under tensorial perturbations of the metric, we study the stability of the Callan, Myers and Perry solution under these perturbations.
Oard, Doug
LSA Dimensions, and Centroid Correction of Translated Training Examples Yejun Wu School of Library and Information Science, Louisiana State University 267 Coates Hall, Baton Rouge, LA 70803 wuyj@lsu.edu Douglas W@umd.edu ABSTRACT This paper explores topic aspect (i.e., subtopic or facet) classification for collections
Rheingans, Richard
Water insecurity in 3 dimensions: An anthropological perspective on water and women's psychosocial, Rollins School of Public Health, 1518 Clifton Road, Atlanta, GA 30022, USA b Center for Global Safe Water f o Article history: Available online 20 April 2012 Keywords: Water insecurity Gender Psychosocial
Oard, Doug
analysis thus leads directly to a need for bilingual topic aspect classification as a prerequisite taskEnglish and Chinese Bilingual Topic Aspect Classification: Exploring Similarity Measures, Optimal LSA Dimensions, and Centroid Correction of Translated Training Examples Yejun Wu School of Library
Morin, Pat
Rotational Clamshell Casting In Three Dimensions Prosenjit Bose, Pat Morin, Michiel Smid, Stefanie, swuhrer}@scs.carleton.ca Abstract A popular manufacturing technique is clamshell casting, where liquid is poured into a cast and the cast is removed once the liquid has hardened. We consider the case where
Morin, Pat
Rotational Clamshell Casting In Two Dimensions Prosenjit Bose, Pat Morin, Michiel Smid, Stefanie, swuhrer}@scs.carleton.ca Abstract A popular manufacturing technique is clamshell casting, where liquid is poured into a cast and the cast is removed once the liquid has hardened. We consider the case where
Outline Motivation Theory Validation Application Conclusions Correlation screening in high dimension
Tourneret, Jean-Yves
Outline Motivation Theory Validation Application Conclusions Correlation screening in high dimension Alfred Hero University of Michigan - Ann Arbor June 14, 2011 1 / 45 #12;Outline Motivation Theory Validation Application Conclusions 1 Motivation 2 Theory 3 Validation 4 Application 5 Conclusions 2 / 45 #12
Energy Harvesting Enabled Wireless Sensor Networks: Energy Model and Battery Dimensioning
Politècnica de Catalunya, Universitat
- ferent natures, such as mechanical, thermal, solar, acoustic and electromagnetic (EM) energy [8Energy Harvesting Enabled Wireless Sensor Networks: Energy Model and Battery Dimensioning Raul to energy require- ments. The Self-Powered WSN approach aims to extend the sensor node life by means
Andres Gomberoff; Marc Henneaux; Claudio Teitelboim
2005-01-19
We study the decay of the cosmological constant in two spacetime dimensions through production of pairs. We show that the same nucleation process looks as quantum mechanical tunneling (instanton) to one Killing observer and as thermal activation (thermalon) to another. Thus, we find another striking example of the deep interplay between gravity, thermodynamics and quantum mechanics which becomes apparent in presence of horizons.
Alternatives to the Seesaw: Extra Z's and Constraints on Large Extra Dimensions
Paul Langacker
2003-04-10
Alternatives to the traditional grand unified theory seesaw for neutrino masses are briefly described. These include the possibility of large extra dimensions and various possibilities for models involving an extra U(1)' gauge symmetry. The difficulty of observing Majorana phases in neutrinoless double beta decay is also briefly commented on.
omit an important additional dimension. In birds, sexual dimorphism in singing and song learning] and the prevalence of female song in Australian birds [10], song in both sexes could be the ancestral condition of the size of neural song control regions and song complexity in duetting birds: evolutionary implications. J
Park, Haesun
valuable information from a huge collection of text documents available in digital libraries, knowledgeDimension Reduction in Text Classification with Support Vector Machines Hyunsoo Kim, Peg Howland, and Haesun Park #3; Department of Computer Science and Engineering, University of Minnesota, 200 Union Street
Multi-objective Optimization of Geometric Dimensions and Material Composition of
Vel, Senthil
Multi-objective Optimization of Geometric Dimensions and Material Composition of Functionally optimization of a metal/metal functionally graded material active cooling component. The plane stress transient-objective genetic algorithm optimization procedure is used to determine the optimal volume fraction distribution
The Effective Dimension of Asset-Liability Management Problems in Life Insurance
Crauel, Hans
The Effective Dimension of Asset-Liability Management Problems in Life Insurance Thomas Gerstner of stochastic asset-liability manage- ment (ALM) models for life insurance policies in the last years, see, e be analysed. The results are used to support management decisions regarding, e.g., the asset allocation
Polar biaxial liquid crystalline phases with uidity in two and three spatial dimensions
Cladis, Patricia E.
Polar biaxial liquid crystalline phases with ¯uidity in two and three spatial dimensions Helmut R liquid crystalline phases. We focus on polar biaxial liquid crystalline phases made of achiral molecules), which is probably very im- portant for liquid crystalline phases composed of banana-shaped molecules. Ó
Nanotube Formation: Researchers Learn To Control The Dimensions Of Metal Oxide Nanotubes
Nair, Sankar
made from metal oxides -- work that could lead to a technique for precisely conNanotube Formation: Researchers Learn To Control The Dimensions Of Metal Oxide Nanotubes Science their diameter and length. Based on metal oxides in combination with silicon and germanium, such single
Contribution of the ventromedial hypothalamus to generation of the affective dimension of pain
Borszcz, George S.
Contribution of the ventromedial hypothalamus to generation of the affective dimension of pain; accepted 21 February 2006 Abstract The ventromedial hypothalamus (VMH) is a core structure underlying by Elsevier B.V. All rights reserved. Keywords: Nociception; Emotion; Hypothalamus; GABAA receptor; Pavlovian
Scaled Dimension and the Kolmogorov Complexity of TuringHard Sets
Hitchcock, John
) established a small span theorem for P/polyÂTuring reductions which asserts that for any problem A in ESPACE A is reducible (the upper span) has measure 0 in ESPACE. We apply our Kolmogorov complexity characterization to improve this to (-3) rd Â order scaled dimension 0 in ESPACE. As a consequence we obtain a new upper bound
Chain Dimensions and Entanglement Spacings L. J. Fetters*, D. J. Lohsey
Colby, Ralph H.
*Chemical and Biomedical Engineering, Cornell University, Ithaca, NY 14853-5201; y ExxonMobil Research . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 451 This chapter summarizes data on chain dimensions and entanglement spacings for a number of linear literature data on flexible polymer melts and evaluate this universal number. Empirical relations use- ful
c 2010 by Florin Bora. All rights reserved. QUANTIZED VORTICES IN ARBITRARY DIMENSIONS AND THE
Goldbart, Paul M.
. The vortices may be idealized as objects of co-dimension two, such as one-dimensional loops and two-dimensional closed surfaces, respectively, in the cases of three- and four-dimensional superfluidity. By using size. The motion of vortices is analyzed in general, as well as for the special cases of hyper
Bounds on the k-dimension of products of special posets Michael Baym
West, Douglas B.
Bounds on the k-dimension of products of special posets Michael Baym Douglas B. West Abstract, University of Illinois, Urbana, IL 61801, west@math.uiuc.edu. Research par- tially supported by the National that Sn is the smallest n-dimensional poset. Reuter [15] extended Trotter's result (using "concept
The Temporal Dimension of Dynamic Function Allocation Michael Hildebrandt and Michael Harrison
Harrison, Michael
1 The Temporal Dimension of Dynamic Function Allocation Michael Hildebrandt and Michael Harrison.Harrison}@cs.york.ac.uk Abstract Current Dynamic Function Allocation methods are designed to switch adaptively between levels a temporal perspective on function allocation by discussing how functions can be scheduled on a joint human
Optimizing moderator dimensions for neutron scattering at the spallation neutron source
Zhao, J. K.; Robertson, J. L.; Herwig, Kenneth W.; Gallmeier, Franz X.; Riemer, Bernard W. [Instrument and Source Division, Spallation Neutron Source, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)] [Instrument and Source Division, Spallation Neutron Source, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)
2013-12-15
In this work, we investigate the effect of neutron moderator dimensions on the performance of neutron scattering instruments at the Spallation Neutron Source (SNS). In a recent study of the planned second target station at the SNS facility, we have found that the dimensions of a moderator play a significant role in determining its surface brightness. A smaller moderator may be significantly brighter over a smaller viewing area. One of the immediate implications of this finding is that for modern neutron scattering instrument designs, moderator dimensions and brightness have to be incorporated as an integrated optimization parameter. Here, we establish a strategy of matching neutron scattering instruments with moderators using analytical and Monte Carlo techniques. In order to simplify our treatment, we group the instruments into two broad categories: those with natural collimation and those that use neutron guide systems. For instruments using natural collimation, the optimal moderator selection depends on the size of the moderator, the sample, and the moderator brightness. The desired beam divergence only plays a role in determining the distance between sample and moderator. For instruments using neutron optical systems, the smallest moderator available that is larger than the entrance dimension of the closest optical element will perform the best (assuming, as is the case here that smaller moderators are brighter)
Neutrinoless double beta decay constrained by the existence of large extra dimensions
Marek Gó?d?; W. A. Kami?ski
2012-01-05
We present the possible influence on the half-life of neutrinoless double beta decay coming from the existence of $n$ extra spatial dimensions. The half-life in question depends on the mass of the electron neutrino. We base our analysis on the Majorana neutrino mass mechanism in Arkani-Hamed--Dimopoulos--Dvali model.
The fractality of lung sounds: A comparison of three waveform fractal dimension algorithms
Moussavi, Zahra M. K.
The fractality of lung sounds: A comparison of three waveform fractal dimension algorithms January of flow-specific lung sounds (LS) have been compared to examine the fractal nature of these signals. LS between LS in health and disease. Ó 2005 Elsevier Ltd. All rights reserved. 1. Introduction Lung sounds
Handling Big Dimensions in Distributed Data Warehouses using the DWS Technique
Song, Il-Yeol
Handling Big Dimensions in Distributed Data Warehouses using the DWS Technique Marco Costa Critical tables creates a limitation to the applicability of the DWS technique to data warehouses with big is also common in big data warehouses [7]. Two types of parallelism can be explored at the query level
Sansinena, Jose-Maria (Los Alamos, NM); Redondo, Antonio (Los Alamos, NM); Olazabal, Virginia (Los Alamos, NM); Hoffbauer, Mark A. (Los Alamos, NM); Akhadov, Elshan A. (Los Alamos, NM)
2009-12-29
A barrier structure for use in an electrochemical stochastic membrane sensor for single molecule detection. The sensor is based upon inorganic nanopores having electrically tunable dimensions. The inorganic nanopores are formed from inorganic materials and an electrically conductive polymer. Methods of making the barrier structure and sensing single molecules using the barrier structure are also described.
Joint asymptotic behavior of local and occupation times of random walk in higher dimension
Csáki, Endre
Joint asymptotic behavior of local and occupation times of random walk in higher dimension Endre behavior of two objects: #28;rst the local times of a pair of neighboring points, then the local time of a point and the occupation time of the surface of the unit ball around it. AMS 2000 Subject Classi#28
Global dimensions of endomorphism algebras for generator-cogenerators over $m$-replicated algebras
Lv, Hongbo
2008-01-01
Let $A$ be a finite dimensional hereditary algebra over a field $k$ and $A^{(m)}$ be the $m$-replicated algebra of $A$. We investigate the possibilities for the global dimensions of the endomorphism algebras of generator-cogenerators over $m$-replicated algebra $A^{(m)}$.
A LOCAL DIMENSION TEST FOR NUMERICALLY APPROXIMATED POINTS ON ALGEBRAIC SETS
Sommese, Andrew J.
of magnitude improvement in the computation of a numerical irreducible decomposition. Also, to compute the irreducible components of a fixed dimension, it is no longer necessary to compute the numerical irreducible components that contain a specified point p; 4. computing the numerical irreducible decomposition of V more e
Capillary pressure in a porous medium with distinct pore surface and pore volume fractal dimensions
Deinert, Mark
Capillary pressure in a porous medium with distinct pore surface and pore volume fractal dimensions been substantiated by assuming that capillary pressure is directly related to the pore radius. When capillary pressure and pore volume are directly propor- tional to the pore radius. If a system's pore space
Agmon, Noam
concentration-independent power is predicted only with a modified preexponent. Random-walk simulations in one decays as a power law, Atma, with time.22 The power a is d/2, where d is the spatial dimensionality dimension'3'6 have produced a of approximately 0.5. In contrast, experimental results of Huppert and co
Estimates of the optimal density of sphere packings in high dimensions
Stillinger, Frank
though existing upper bounds suggest that such improveÂ ment should be possible. Using a statistical in digital communications and storage. 12 Physicists have investigated sphere packings in high dimensions theory. 4,5,12,16,17 The packing density or simply density #1; of a sphere packing is the fraction
Extreme-value statistics of dimensions determining an observer's branch of the world?
Lutz Polley
2010-11-16
In a many-worlds framework, combining decoherent histories and extreme-value statistics, it is conjectured that the (matrix) dimension of the Hamiltonian processing records and memories near the end of an observer's history is almost entirely located in a single branch of his/her wavefunction.
Topological Insulators in Three Dimensions Liang Fu, C. L. Kane, and E. J. Mele
Kane, Charles
) effect. Unlike two dimensions, where a single Z2 topological invariant governs the effect, in three (STI) topological insulators. The WTI are like layered 2D QSH states, but are destroyed by disorder will refer to as weak (WTI) and strong (STI) topological insulators. With disorder, the WTI is equivalent
LYAPOUNOV NORMS FOR RANDOM WALKS IN LOW DISORDER AND DIMENSION GREATER THAN THREE.
Johansen, Adam
LYAPOUNOV NORMS FOR RANDOM WALKS IN LOW DISORDER AND DIMENSION GREATER THAN THREE. N. ZYGOURAS, it is shown by Zerner [11] that there exists a nondegenerate norm (Â·) on Rd such that for P - a.e. disorder decay of it. It turns out that this is governed by the annealed Lyapounov norm (x), x Zd and in analogy
Decollement depth versus accretionary prism dimension in the Apennines and the Barbados
De´collement depth versus accretionary prism dimension in the Apennines and the Barbados Sabina] Along representative cross sections of the Apennines and the Northern Barbados accretionary prisms, we´collement than the oceanic sections of the Northern Barbados, 610 km depth and
Stress Functions for Nonlinear Dimension Reduction, Proximity Analysis, and Graph Drawing
Chen, Lisha
Stress Functions for Nonlinear Dimension Reduction, Proximity Analysis, and Graph Drawing Lisha of proposals that differ in their optimization criteria, called "stress functions". To correct this situation we propose (1) to embed many of the extant stress functions in a parametric family of stress
Adaptive Dimension Reduction Using Discriminant Analysis and K-means Chris Ding CHQDING@LBL.GOV
Ding, Chris
Adaptive Dimension Reduction Using Discriminant Analysis and K-means Clustering Chris Ding CHQDING discriminant analysis (LDA) and K-means clustering into a coherent frame- work to adaptively select the most, Corvallis, OR, 2007. Copyright 2007 by the author(s)/owner(s). An extension of this approach is the adaptive
New Chern-Simons densities in both odd and even dimensions
Radu, Eugen
2011-01-01
After reviewing briefly the dimensional reduction of Chern--Pontryagin densities, we define new Chern--Simons densities expressed in terms of Yang-Mills and Higgs fields. These are defined in all dimensions, including in even dimensional spacetimes. They are constructed by subjecting the dimensionally reduced Chern--Pontryagin densites to further descent by two steps.
New Chern-Simons densities in both odd and even dimensions
Eugen Radu; Tigran Tchrakian
2011-01-26
After reviewing briefly the dimensional reduction of Chern--Pontryagin densities, we define new Chern--Simons densities expressed in terms of Yang-Mills and Higgs fields. These are defined in all dimensions, including in even dimensional spacetimes. They are constructed by subjecting the dimensionally reduced Chern--Pontryagin densites to further descent by two steps.
Coupling a Self-Dual Tensor to Gravity in Six Dimensions
John H. Schwarz
1997-01-03
A recent result concerning interacting theories of self-dual tensor gauge fields in six dimensions is generalized to include coupling to gravity. The formalism makes five of the six general coordinate invariances manifest, whereas the sixth one requires a non-trivial analysis. The result should be helpful in formulating the world-volume action of the M theory five-brane.
Hausdorff dimension, fractional spin particles and Chern-Simons effective potential
Wellington da Cruz
1998-02-19
We obtain for any spin, $s$, the Hausdorff dimension, $h_{i}$, for fractional spin particles and we discuss the connection between this number, $h_{i}$, and the Chern-Simons potential. We also define the topological invariants, $W_s$, in terms of the statistics of these particles.
Politècnica de Catalunya, Universitat
hampering the deployment of transparent optical networks (i.e., no electrical signal regenerators at minimiz- ing the number of electrical regenerators deployed in the network. To tackle it, in this paper and dimensioning problem in sub-wavelength switching optical networks Oscar Pedrola a,b, , Davide Careglio
VC v. VCG: Inapproximability of Combinatorial Auctions via Generalizations of the VC Dimension
Sandholm, Tuomas W.
is the paradigmatic problem in computational mech- anism design. It is believed that in many cases good approximations efficiency. However, to date, researchers lack the machinery to prove such results. In this paper, we present the VC-dimension of k-tuples of disjoint sets. We apply this machinery to prove the first computational
New Dimensions of Visual Landscape Assessment Wildlands Management for Wildlife Viewing1
Standiford, Richard B.
preservation and other activities associated with traditional game management. Fortunately, much of the knowledge and techniques developed for game #12;management can be transferred to considerations of wildlifeNew Dimensions of Visual Landscape Assessment Wildlands Management for Wildlife Viewing1 Tamsie
GENERATORS AND DIMENSIONS OF DERIVED CATEGORIES OF MODULES TAKUMA AIHARA AND RYO TAKAHASHI
Takahashi, Ryo
GENERATORS AND DIMENSIONS OF DERIVED CATEGORIES OF MODULES TAKUMA AIHARA AND RYO TAKAHASHI Abstract of a triangulated category, and Rouquier proved that the bounded derived category of coherent sheaves on a separated of the bounded derived category of finitely generated modules over a commutative Noetherian ring. The main result
Simulations of a turbulent non-premixed flame using combined dimension reduction and tabulation simulate a bluff-body-stabilized non-premixed turbulent methane/air flame. " NOx and CO emissions have been flames Dimension reduction Tabulation Constrained equilibrium a b s t r a c t The use of large chemical
Predicting Pattern Tooling and Casting Dimensions for Investment Casting - Phase II
Sabau, Adrian S [ORNL
2005-09-01
The investment casting process allows the production of complex-shape parts and close dimensional tolerances. One of the most important phases in the investment casting process is the design of the pattern die. Pattern dies are used to create wax patterns by injecting wax into dies. The wax patterns are used to create a ceramic shell by the application of a series of ceramic coatings, and the alloy is cast into the dewaxed shell mold (Fig. 1.1). However, the complexity of shape and the close dimensional tolerances required in the final casting make it difficult to determine tooling dimensions. The final linear dimension of the casting depends on the cumulative effects of the linear expansions or contractions in each step of the investment casting process (Fig. 1.2). In most cases, the mold geometry or cores restrict the shrinkage of the pattern or the cast part, and the final casting dimensions may be affected by time-dependent processes such as viscoelastic deformation of the wax, and viscoplastic creep and plastic deformations of the shell and alloy. The pattern die is often reworked several times to produce castings whose dimensions are within acceptable tolerances. To date, investment casting technology has been based on hands-on training and experience. Technical literature is limited to experimental, phenomenological studies aimed at obtaining empirical correlations for quick and easy application in industry. The goal of this project was to predict casting dimensions for investment castings in order to meet blueprint nominal during the first casting run. Several interactions have to be considered in a coupled manner to determine the shrinkage factors: these are the die-wax, wax-shell, and shell-alloy interactions (as illustrated in Fig. 1.3). In this work, the deformations of the die-wax and shell-alloy systems were considered in a coupled manner, while the coupled deformation of the wax-shell system was not considered. Future work is needed in order to deliver to industry a computer program in which all three systems are coupled for determining the dimensions of the wax pattern, the shell mold, and casting in a sequential but coupled manner.
On Thermodynamics of AdS Black Holes in Arbitrary Dimensions
A. Belhaj; M. Chabab; H. El Moumni; M. B. Sedra
2012-09-23
Considering the cosmological constant $\\Lambda$ as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume as proposed in Kubiznak and Mann (2012), we discuss the critical behavior of charged AdS black hole in arbitrary dimensions $d$. In particular, we present a comparative study in terms of the spacetime dimension $d$ and the displacement of critical points controlling the transition between the small and the large black holes. Such behaviors vary nicely in terms of $d$. Among our result in this context consists in showing that the equation of state for a charged RN-AdS black hole predicts an universal number given by $\\frac{2d-5}{4d-8}$. The three dimensional solution is also discussed.
Prime affine algebras of GK dimension two which are almost PI algebras
Moskowicz, Vered
2011-01-01
An almost PI algebra is a generalisation of a just infinite algebra which does not satisfy a polynomial identity. An almost PI algebra has some nice properties: It is prime, has a countable cofinal subset of ideals and when satisfying ACC(semiprimes), it has only countably many height 1 primes. Consider an affine prime Goldie non-simple non-PI $k$-algebra $R$ of GK dimension $<3$, where $k$ is an uncountable field. $R$ is an almost PI algebra. We give some possible additional conditions which make such an algebra primitive. This gives a partial answer to Small's question: Let $R$ be an affine prime Noetherian $k$-algebra of GK dimension 2, where $k$ is any field. Does it follow that $R$ is PI or primitive? We also show that the center of $R$ is a finite dimensional field extension of $k$, and if, in addition, $k$ is algebraically closed, then $R$ is stably almost PI.
Quantization of Space and Time in 3 and in 4 Space-time Dimensions
G. 't Hooft
1996-08-16
The fact that in Minkowski space, space and time are both quantized does not have to be introduced as a new postulate in physics, but can actually be derived by combining certain features of General Relativity and Quantum Mechanics. This is demonstrated first in a model where particles behave as point defects in 2 space dimensions and 1 time, and then in the real world having 3+1 dimensions. The mechanisms in these two cases are quite different, but the outcomes are similar: space and time form a (non-cummutative) lattice. These notes are short since most of the material discussed in these lectures is based on two earlier papers by the same author (gr-qc/9601014 and gr-qc/9607022), but the exposition given in the end is new.
Reconstruction of ionization probabilities from spatially averaged data in N dimensions
Strohaber, J.; Kolomenskii, A. A.; Schuessler, H. A.
2010-07-15
We present an analytical inversion technique, which can be used to recover ionization probabilities from spatially averaged data in an N-dimensional detection scheme. The solution is given as a power series in intensity. For this reason, we call this technique a multiphoton expansion (MPE). The MPE formalism was verified with an exactly solvable inversion problem in two dimensions, and probabilities in the postsaturation region, where the intensity-selective scanning approach breaks down, were recovered. In three dimensions, ionization probabilities of Xe were successfully recovered with MPE from simulated (using the Ammosov-Delone-Krainov tunneling theory) ion yields. Finally, we tested our approach with intensity-resolved benzene-ion yields, which show a resonant multiphoton ionization process. By applying MPE to this data (which were artificially averaged), the resonant structure was recovered, which suggests that the resonance in benzene may have been observed in spatially averaged data taken elsewhere.
Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss' law
Martin Bureš; Petr Siegl
2014-09-30
We investigate the consequences of one extra spatial dimension for the stability and energy spectrum of the non-relativistic hydrogen atom with a potential defined by Gauss' law, i.e. proportional to $1/|x|^2$. The additional spatial dimension is considered to be either infinite or curled-up in a circle of radius $R$. In both cases, the energy spectrum is bounded from below for charges smaller than the same critical value and unbounded from below otherwise. As a consequence of compactification, negative energy eigenstates appear: if $R$ is smaller than a quarter of the Bohr radius, the corresponding Hamiltonian possesses an infinite number of bound states with minimal energy extending at least to the ground state of the hydrogen atom.
Statistics of the gravitational force in various dimensions of space: from Gaussian to Levy laws
Pierre-Henri Chavanis
2009-07-28
We discuss the distribution of the gravitational force created by a Poissonian distribution of field sources (stars, galaxies,...) in different dimensions of space d. In d=3, it is given by a Levy law called the Holtsmark distribution. It presents an algebraic tail for large fluctuations due to the contribution of the nearest neighbor. In d=2, it is given by a marginal Gaussian distribution intermediate between Gaussian and Levy laws. In d=1, it is exactly given by the Bernouilli distribution (for any particle number N) which becomes Gaussian for N>>1. Therefore, the dimension d=2 is critical regarding the statistics of the gravitational force. We generalize these results for inhomogeneous systems with arbitrary power-law density profile and arbitrary power-law force in a d-dimensional universe.
On the Weyl Tensor Classification in All Dimensions and its Relation with Integrability Properties
Carlos Batista
2013-04-27
In this paper the Weyl tensor is used to define operators that act on the space of forms. These operators are shown to have interesting properties and are used to classify the Weyl tensor, the well known Petrov classification emerging as a special case. Particularly, in the Euclidean signature this classification turns out be really simple. Then it is shown that the integrability condition of maximally isotropic distributions can be described in terms of the invariance of certain subbundles under the action of these operators. Here it is also proved a new generalization of the Goldberg-Sachs theorem, valid in all even dimensions, stating that the existence of an integrable maximally isotropic distribution imposes restrictions on the optical matrix. Also the higher-dimensional versions of the self-dual manifolds are investigated. These topics can shed light on the integrability of Einstein's equation in higher dimensions.
Fluctuating Dimension in a Discrete Model for Quantum Gravity Based on the Spectral Action
De Albuquerque, L C; Teotônio-Sobrinho, P; Albuquerque, Luiz C. de; Lyra, Jorge L. de; Teotonio-Sobrinho, Paulo
2003-01-01
The spectral action of Connes and Chamseddine is used as a starting point to define a discrete model for Euclidean quantum gravity. Instead of summing over ordinary geometries, we consider the sum over generalized geometries where topology, metric and dimension can fluctuate. The model describes the geometry of spaces with a countable number $n$ of points, and is related to the Gaussian unitary ensemble of Hermitian matrices. We show that this simple model has two phases. The expectation value $$, the average number of points in the universe, is finite in one phase and diverges in the other. We compute the critical point as well as the critical exponent of $$. Moreover, the space-time dimension $\\delta$ is a dynamical observable in our model, and plays the role of an order parameter. The computation of $$ is discussed and a lower bound is found, $ > 2$.
Dependence of Magnetic Field Quality on Collar Supplier and Dimensions in the Main LHC Dipole
Bellesia, B; Santoni, C; Todesco, E
2006-01-01
In order to keep the electro-magnetic forces and to minimize conductor movements, the superconducting coils of the main Large Hadron Collider dipoles are held in place by means of austenitic steel collars. Two suppliers provide the collars necessary for the whole LHC production, which has now reached more than 800 collared coils. In this paper we first assess if the different collar suppliers origin a noticeable difference in the magnetic field quality measured at room temperature. We then analyze the measurements of the collar dimensions carried out at the manufacturers, comparing them to the geometrical tolerances. Finally we use a magneto-static model to evaluate the expected spread in the field components induced by the actual collar dimensions. These spreads are compared to the magnetic measurements at room temperature over the magnet production in order to identify if the collars, rather than other components or assembly process, can account for the measured magnetic field effects. It has been found tha...
SU(N) gauge theories in 2+1 dimensions -- further results
B. Lucini; M. Teper
2002-06-24
We calculate the string tension and part of the mass spectrum of SU(4) and SU(6) gauge theories in 2+1 dimensions using lattice techniques. We combine these new results with older results for N=2,...,5 so as to obtain more accurate extrapolations to N=infinity. The qualitative conclusions of the earlier work are unchanged: SU(N) theories in 2+1 dimensions are linearly confining as N->infinity; the limit is achieved by keeping g.g.N fixed; SU(3), and even SU(2), are `close' to SU(infinity). We obtain more convincing evidence than before that the leading large-N correction is O(1/N.N). We look for the multiplication of states that one expects in simple flux loop models of glueballs, but find no evidence for this.
Eigenvalue repulsion in an effective theory of SU(2) Wilson lines in three dimensions
Adrian Dumitru; Dominik Smith
2012-07-04
We perform simulations of an effective theory of SU(2) Wilson lines in three dimensions. We include a non-perturbative "fuzzy-bag" contribution which is added to the one-loop perturbative potential for the Wilson line. We confirm that, at moderately weak coupling, this leads to eigenvalue repulsion in a finite region above the deconfining phase transition which shrinks in the extreme weak-coupling limit. A non-trivial Z(N) symmetric vacuum arises in the confined phase.
Reducible Quantum Electrodynamics. I. The Quantum Dimension of the Electromagnetic Field
Jan Naudts
2015-05-30
In absence of currents and charges the quantized electromagnetic field can be described by wave functions which for each individual wave vector are normalized to one. The resulting formalism involves reducible representations of the Canonical Commutation Relations. The corresponding paradigm is a space-time filled with two-dimensional quantum harmonic oscillators. Mathematically, this is equivalent with two additional dimensions penetrated by the electromagnetic waves.
AN IMPROVED BOUND FOR THE HAUSDORFF DIMENSION OF (n, 2)-SETS
JyvÃ¤skylÃ¤, University of
)-sets. In higher dimensions it is an open question whether an (n, 2)-set must have positive measure. We = {x Rn : dist(x, Le(a)) } is the infinite tube with axis Le(a) and cross-section radius . 2000, 1 Pl, 2 T e (a), where = C/d(P1, P2). Therefore |Pl, 1 Pl, 2 | |Pl, 1 T e (a)| n-1 d(P1, P2
Computing Characteristics of One Class of Non-commutative Hypercomplex Number Systems of 4-dimension
Yakiv O. Kalinovsky; Dmitry V. Lande; Yuliya E. Boyarinova; Alina S. Turenko
2014-09-09
The class of non-commutative hypercomplex number systems (HNS) of 4-dimension constructed by using of non-commutative procedure of Grassman-Clifford doubling of 2-dimensional systems is investigated in the article. All HNS of this class are constructed, algorithms of performance of operations and methods of algebraic characteristics calculation in them, such as conjugation, normalization, a type of zero dividers are investigated. Formulas of exponential functions representation in these systems are displayed.
Simple thermodynamics of strongly coupled one-component-plasma in two and three dimensions
Khrapak, Sergey A.; Khrapak, Alexey G.
2014-10-15
Simple analytical approximations for the internal energy of the strongly coupled one-component-plasma in two and three dimensions are discussed. As a result, new practical expressions for the internal energy in the fluid phase are proposed. Their accuracy is checked by evaluating the location of the fluid-solid phase transition from the free energy consideration. Possible applications to other related systems are briefly discussed.
Higgs Production and Decay in Models of a Warped Extra Dimension with a Bulk Higgs
Paul R. Archer; Marcela Carena; Adrian Carmona; Matthias Neubert
2015-01-15
Warped extra-dimension models in which the Higgs boson is allowed to propagate in the bulk of a compact AdS$_5$ space are conjectured to be dual to models featuring a partially composite Higgs boson. They offer a framework with which to investigate the implications of changing the scaling dimension of the Higgs operator, which can be used to reduce the constraints from electroweak precision data. In the context of such models, we calculate the cross section for Higgs production in gluon fusion and the $H\\to\\gamma\\gamma$ decay rate and show that they are finite (at one-loop order) as a consequence of gauge invariance. The extended scalar sector comprising the Kaluza-Klein excitations of the Standard Model scalars is constructed in detail. The largest effects are due to virtual KK fermions, whose contributions to the cross section and decay rate introduce a quadratic sensitivity to the maximum allowed value $y_\\ast$ of the random complex entries of the 5D anarchic Yukawa matrices. We find an enhancement of the gluon-fusion cross section and a reduction of the $H\\to\\gamma\\gamma$ rate as well as of the tree-level Higgs couplings to fermions and electroweak gauge bosons. We perform a detailed study of the correlated signal strengths for different production mechanisms and decay channels as functions of $y_\\ast$, the mass scale of Kaluza-Klein resonances and the scaling dimension of the composite Higgs operator.
Optimizing Moderator Dimensions for Neutron Scattering at the Spallation Neutron Source
Zhao, Jinkui [ORNL; Robertson, Lee [ORNL; Herwig, Kenneth W [ORNL; Gallmeier, Franz X [ORNL; Riemer, Bernie [ORNL
2013-01-01
In this work, we investigate the effect of neutron moderator dimensions on the performance of neutron scattering instruments at the Spallation Neutron Source. In a recent study of the planned second target station at the Spallation Neutron Source (SNS) facility [1,2], we have found that the dimensions of a moderator play a significant role in determining its surface brightness. A smaller moderator may be significantly brighter for a smaller viewing area [4]. One of the immediate implications of this finding is that for modern neutron scattering instrument designs, moderator dimensions and brightness have to be incorporated as an integrated optimization parameter. Here, we establish a strategy of matching neutron scattering instruments with moderators using analytical and Monte Carlo techniques. In order to simplify our treatment, we group the instruments into two broad categories, those with natural collimation and those that use neutron guide systems. We found that the cross-sections of the sample and the neutron guide, respectively, are the deciding factors for choosing the moderator. Beam divergence plays no role as long as it is within the reach of practical constraints. Namely, the required divergence is not too large for the guide or sample to be located close enough to the moderator on an actual spallation source.
Higgs production and decay in models of a warped extra dimension with a bulk Higgs
Archer, Paul R. [Johannes Gutenberg University, Mainz (Germany); Carena, Marcela [Fermi National Acceleraor Laboratory, Batavia, IL (United States); Univ. of Chicago, Chicago, IL (United States); Carmona, Adrian [ETH Zurich (Switzerland); Neubert, Matthias [Johannes Gutenberg University, Mainz (Germany); Cornell Univ., Ithaca, NY (United States)
2015-01-01
Warped extra-dimension models in which the Higgs boson is allowed to propagate in the bulk of a compact AdS? space are conjectured to be dual to models featuring a partially composite Higgs boson. They offer a framework with which to investigate the implications of changing the scaling dimension of the Higgs operator, which can be used to reduce the constraints from electroweak precision data. In the context of such models, we calculate the cross section for Higgs production in gluon fusion and the H ? ?? decay rate and show that they are finite (at one-loop order) as a consequence of gauge invariance. The extended scalar sector comprising the Kaluza-Klein excitations of the Standard Model scalars is constructed in detail. The largest effects are due to virtual KK fermions, whose contributions to the cross section and decay rate introduce a quadratic sensitivity to the maximum allowed value y_{*} of the random complex entries of the 5D anarchic Yukawa matrices. We find an enhancement of the gluon-fusion cross section and a reduction of the H ? ?? rate as well as of the tree-level Higgs couplings to fermions and electroweak gauge bosons. We perform a detailed study of the correlated signal strengths for different production mechanisms and decay channels as functions of y_{*}, the mass scale of Kaluza-Klein resonances and the scaling dimension of the composite Higgs operator.
Phase structure and the gluon propagator of SU(2) gauge-Higgs model in two dimensions
Shinya Gongyo; Daniel Zwanziger
2015-01-26
We study numerically the phase structure and the gluon propagator of the SU(2) gauge-Higgs model in two dimensions. First, we calculate gauge-invariant quantities, in particular the static potential from Wilson Loop, the W propagator, and the plaquette expectation value. Our results suggest that a confinement-like region and a Higgs-like region appear even in two dimensions. In the confinement-like region, the static potential rises linearly, with string breaking at large distances, while in the Higgs-like region, it is of Yukawa type, consistent with a Higgs-type mechanism. The correlation length obtained from the W propagator has a finite maximum between these regions. The plaquette expectation value shows a smooth cross-over consistent with the Fradkin-Shenker-Osterwalder-Seiler theorem. From these results, we suggest that there is no phase transition in two dimensions. We also calculate a gauge-dependent order parameter in Landau gauge. Unlike gauge invariant quantities, the gauge non-invariant order parameter has a line of discontinuity separating these two regions. Finally we calculate the gluon propagtor. We infer from its infrared behavior that the gluon propagator would vanish at zero momentum in the infinite-volume limit, consistent with an analytical study.
$D$-dimensions Dirac fermions BEC-BCS cross-over thermodynamics
Ji-sheng Chen
2006-11-06
An effective Proca Lagrangian action is used to address the vector condensation Lorentz violation effects on the equation of state of the strongly interacting fermions system. The interior quantum fluctuation effects are incorporated as an external field approximation indirectly through a fictive generalized Thomson Problem counterterm background. The general analytical formulas for the $d$-dimensions thermodynamics are given near the unitary limit region. In the non-relativistic limit for $d=3$, the universal dimensionless coefficient $\\xi ={4}/{9}$ and energy gap $\\Delta/\\epsilon_f ={5}/{18}$ are reasonably consistent with the existed theoretical and experimental results. In the unitary limit for $d=2$ and T=0, the universal coefficient can even approach the extreme occasion $\\xi=0$ corresponding to the infinite effective fermion mass $m^*=\\infty$ which can be mapped to the strongly coupled two-dimensions electrons and is quite similar to the three-dimensions Bose-Einstein Condensation of ideal boson gas. Instead, for $d=1$, the universal coefficient $\\xi$ is negative, implying the non-existence of phase transition from superfluidity to normal state. The solutions manifest the quantum Ising universal class characteristic of the strongly coupled unitary fermions gas.
Higgs production and decay in models of a warped extra dimension with a bulk Higgs
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Archer, Paul R.; Carena, Marcela; Carmona, Adrian; Neubert, Matthias
2015-01-13
Warped extra-dimension models in which the Higgs boson is allowed to propagate in the bulk of a compact AdS? space are conjectured to be dual to models featuring a partially composite Higgs boson. They offer a framework with which to investigate the implications of changing the scaling dimension of the Higgs operator, which can be used to reduce the constraints from electroweak precision data. In the context of such models, we calculate the cross section for Higgs production in gluon fusion and the H ? ?? decay rate and show that they are finite (at one-loop order) as a consequencemore »of gauge invariance. The extended scalar sector comprising the Kaluza-Klein excitations of the Standard Model scalars is constructed in detail. The largest effects are due to virtual KK fermions, whose contributions to the cross section and decay rate introduce a quadratic sensitivity to the maximum allowed value y* of the random complex entries of the 5D anarchic Yukawa matrices. We find an enhancement of the gluon-fusion cross section and a reduction of the H ? ?? rate as well as of the tree-level Higgs couplings to fermions and electroweak gauge bosons. We perform a detailed study of the correlated signal strengths for different production mechanisms and decay channels as functions of y*, the mass scale of Kaluza-Klein resonances and the scaling dimension of the composite Higgs operator.« less
Taylor, Frank E.
Using data recorded in 2011 with the ATLAS detector at the Large Hadron Collider, a search for evidence of extra spatial dimensions has been performed through an analysis of the diphoton final state. The analysis uses data ...
DeBartolo, Jack, III
1994-01-01
This thesis addresses the experiential dimension of architecture as it relates to the dynamics of light and the universal presence of the phenomenal. The effort is to (re)imagine the environment: to behold the pageantry ...
Bajaj, Aarti
2011-07-27
This dissertation examines three dimensions - gender, race, and salary -- of the national teacher labor force that emerged in the post-World War II period. First, teaching became increasingly feminized; it became a stable occupation for college...
Couch, Sean M., E-mail: smc@flash.uchicago.edu [Flash Center for Computational Science, Department of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637 (United States)
2013-09-20
We present one-dimensional (1D), two-dimensional (2D), and three-dimensional (3D) hydrodynamical simulations of core-collapse supernovae including a parameterized neutrino heating and cooling scheme in order to investigate the critical core neutrino luminosity (L{sub crit}) required for explosion. In contrast to some previous works, we find that 3D simulations explode later than 2D simulations, and that L{sub crit} at fixed mass accretion rate is somewhat higher in three dimensions than in two dimensions. We find, however, that in two dimensions L{sub crit} increases as the numerical resolution of the simulation increases. In contrast to some previous works, we argue that the average entropy of the gain region is in fact not a good indicator of explosion but is rather a reflection of the greater mass in the gain region in two dimensions. We compare our simulations to semi-analytic explosion criteria and examine the nature of the convective motions in two dimensions and three dimensions. We discuss the balance between neutrino-driven buoyancy and drag forces. In particular, we show that the drag force will be proportional to a buoyant plume's surface area while the buoyant force is proportional to a plume's volume and, therefore, plumes with greater volume-to-surface-area ratios will rise more quickly. We show that buoyant plumes in two dimensions are inherently larger, with greater volume-to-surface-area ratios, than plumes in three dimensions. In the scenario that the supernova shock expansion is dominated by neutrino-driven buoyancy, this balance between buoyancy and drag forces may explain why 3D simulations explode later than 2D simulations and why L{sub crit} increases with resolution. Finally, we provide a comparison of our results with other calculations in the literature.
Flowing to Higher Dimensions: A New Strongly-Coupled Phase on M2 Branes
Krzysztof Pilch; Alexander Tyukov; Nicholas P. Warner
2015-09-18
We describe a one-parameter family of new holographic RG flows that start from $AdS_4 \\times S^7$ and go to $\\widehat{AdS_5} \\times {\\cal B}_6$, where ${\\cal B}_6$ is conformal to a K\\"ahler manifold and $\\widehat{AdS_5}$ is Poincar\\'e $AdS_5$ with one spatial direction compactified and fibered over ${\\cal B}_6$. The new solutions "flow up dimensions," going from the $(2+1)$-dimensional conformal field theory on M2 branes in the UV to a $(3+1)$-dimensional field theory on intersecting M5 branes in the infra-red. The M2 branes completely polarize into M5 branes along the flow and the Poincar\\'e sections of the $\\widehat{AdS_5}$ are the $(3+1)$-dimensional common intersection of the M5 branes. The emergence of the extra dimension in the infra-red suggests a new strongly-coupled phase of the M2 brane and ABJM theories in which charged solitons are becoming massless. The flow solution is first analyzed by finding a four-dimensional $N \\! = \\! 2$ supersymmetric flow in $N \\! = \\! 8$ gauged supergravity. This is then generalized to a one parameter family of non-supersymmetric flows. The infra-red limit of the solutions appears to be quite singular in four dimensions but the uplift to eleven-dimensional supergravity is remarkable and regular (up to orbifolding). Our construction is a non-trivial application of the recently derived uplift formulae for fluxes, going well beyond the earlier constructions of stationary points solutions. The eleven-dimensional supersymmetry is also analyzed and shows how, for the supersymmetric flow, the M2-brane supersymmetry in the UV is polarized entirely into M5-brane supersymmetry in the infra-red.
Pressure of the O(N) Model in 1+1 Dimensions
Francesco Giacosa; Stefano Lottini; Elina Seel; Dominik Smith
2012-10-28
The O(N) model in 1+1 dimensions presents some features in common with Yang-Mills theories: asymptotic freedom, trace anomaly, non-petrurbative generation of a mass gap. An analytical approach to determine the termodynamical properties of the O(3) model is presented and compared to lattice results. Here the focus is on the pressure: it is shown how to derive the pressure in the CJT formalism at the one-loop level by making use of the auxiliary field method. Then, the pressure is compared to lattice results.
A Method for Connecting Dissimilar Finite Element Meshes in Three Dimensions
Dohrmann, C.R.; Heinstein, M.W.; Key, S.W.
1998-11-12
A method is presented for connecting dissimilar finite element meshes in three dimensions. The method combines the concept of master and slave surfaces with the uniform strain approach for surface, corrections finite elements- By modifyhg the are made to element formulations boundaries of elements on the slave such that first-order patch tests are passed. The method can be used to connect meshes which use different element types. In addition, master and slave surfaces can be designated independently of relative mesh resolutions. Example problems in three-dimensional linear elasticity are presented.
Solving problems of 4D minimal SO(10) model in a warped extra dimension
Takeshi Fukuyama; Tatsuru Kikuchi; Nobuchika Okada
2007-04-05
The minimal renormalizable supersymmetric SO(10) model, an SO(10) framework with only one 10 and one 126 Higgs multiplets in the Yukawa sector, is attractive because of its high predictive power for the neutrino oscillation data. However, this model suffers from problems related to running of gauge couplings. The gauge coupling unification may be spoiled due to the presence of Higgs multiplets much lighter than the grand unification (GUT) scale. In addition, the gauge couplings blow up around the GUT scale because of the presence of Higgs multiplets of large representations. We consider the minimal SO(10) model in the warped extra dimension and find a possibility to solve these problems.
Analytical solutions of a generalized non-central potential in N-dimensions
Durmus, Aysen; Özfidan, Aysel
2014-10-15
We present that N-dimensional non-relativistic wave equation for the generalized non-central potential with arbitrary angular momentum is analytically solvable in the hyperspherical coordinates. Asymptotic iteration method as a different approach is applied to obtain N-dimensional energy eigenvalues and the corresponding eigenfunctions. In hyperspherical coordinates, the wave function solutions are obtained in terms of hypergeometric functions and Jacobi polynomials. The bound states of quantum systems under consideration for some special cases, such as Hartmann and Makarov potentials, have been discussed in N-dimensions.
The cone of Betti diagrams over a hypersurface ring of low embedding dimension
Berkesch, Christine; Erman, Daniel; Gibbons, Courtney
2011-01-01
We give a complete description of the cone of Betti diagrams over a standard graded hypersurface ring of the form k[x,y]/, where q is a homogeneous quadric. We also provide a finite algorithm for decomposing Betti diagrams, including diagrams of infinite projective dimension, into pure diagrams. Boij--Soederberg theory completely describes the cone of Betti diagrams over a standard graded polynomial ring; our result provides the first example of another graded ring for which the cone of Betti diagrams is entirely understood.
Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
Loheac, A C; Drut, J E; Roscher, D
2015-01-01
We present a non-perturbative computation of the equation of state of polarized, attractively interacting, non-relativistic fermions in one spatial dimension. We show results for the density, spin magnetization, magnetic susceptibility, and Tan's contact. We compare with the second-order virial expansion and interpret our results in terms of pairing correlations. Our lattice Monte Carlo calculations implement an imaginary chemical potential difference to avoid the sign problem. The thermodynamic results on the imaginary side are analytically continued to obtain results on the real axis. We focus on an intermediate- to strong-coupling regime, and cover a wide range of temperatures and spin imbalances.
Overdamped thermal ratchets in one and more dimensions. Kinesin transport and protein folding
Ernesto Gonzalez-Candela; Victor Romero-Rochin
2006-05-26
The overdamped thermal ratchet driven by an external (Orstein-Uhlenbeck) noise is revisited. The ratchet we consider is unbounded in space and not necessarily periodic . We briefly discuss the conditions under which current is obtained by analyzing the corresponding Fokker-Planck equation and its lack of stationary states. Next, two examples in more than one dimension and related to biological systems are presented. First, a two-dimensional model of a ``kinesin protein'' on a ``microtubule'' is analyzed and, second, we suggest that a ratchet mechanism may be behind the folding of proteins; the latter is elaborated with a multidimensional ratchet model.
Does a relativistic metric generalization of Newtonian gravity exist in 2+1 dimensions?
J. L. Alonso; J. L. Cortes; V. Laliena
2002-12-16
It is shown that, contrary to previous claims, a scalar tensor theory of Brans-Dicke type provides a relativistic generalization of Newtonian gravity in 2+1 dimensions. The theory is metric and test particles follow the space-time geodesics. The static isotropic solution is studied in vacuum and in regions filled with an incompressible perfect fluid. It is shown that the solutions can be consistently matched at the matter vacuum interface, and that the Newtonian behavior is recovered in the weak field regime.
On Heat Properties of AdS Black Holes in Higher Dimensions
A. Belhaj; M. Chabab; H. EL Moumni; K. Masmar; M. B. Sedra; A. Segui
2015-07-01
We investigate the heat properties of AdS Black Holes in higher dimensions. We consider the study of the corresponding thermodynamical properties including the heat capacity explored in the determination of the black hole stability. In particular, we compute the heat latent. To overcome the instability problem, the Maxwell construction, in the (T,S)-plane, is elaborated. This method is used to modify the the Hawking-Page phase structure by removing the negative heat capacity regions. Then, we discuss the thermodynamic cycle and the heat engines using the way based on the extraction of the work from a black hole solution.
Thermodynamics of a charged hairy black hole in (2+1) dimensions
J. Sadeghi; H. Farahani
2013-08-07
In this paper we study thermodynamics, statistics and spectroscopic aspects of a charged black hole with a scalar hair coupled to the gravity in (2+1) dimensions. We obtained effects of the black hole charge and scalar field on the thermodynamical and statistical quantities. We find that scalar charge may increase entropy, temperature and probability, while may decrease black hole mass, free and internal energy. Also electric charge increases probability and decreases temperature and internal energy. Also we investigate stability of the system and find that the thermodynamical stability exists.
Fermion Pair Production From an Electric Field Varying in Two Dimensions
J. E. Seger; A. B. Balantekin
1995-06-26
The Hamiltonian describing fermion pair production from an arbitrarily time-varying electric field in two dimensions is studied using a group-theoretic approach. We show that this Hamiltonian can be encompassed by two, commuting SU(2) algebras, and that the two-dimensional problem can therefore be reduced to two one-dimensional problems. We compare the group structure for the two-dimensional problem with that previously derived for the one-dimensional problem, and verify that the Schwinger result is obtained under the appropriate conditions.
Critical dimension and pattern size enhancement using pre-strained lithography
Hong, Jian-Wei [Department of Power Mechanical Engineering, National Tsing Hua University, 101, Section 2, Kuang Fu Road, Hsin Chu 30013, Taiwan (China); Yang, Chung-Yuan [Institute of NanoEngineering and MicroSystems, National Tsing Hua University, 101, Section 2, Kuang Fu Road, Hsin Chu 30013, Taiwan (China); Lo, Cheng-Yao, E-mail: chengyao@mx.nthu.edu.tw [Department of Power Mechanical Engineering, National Tsing Hua University, 101, Section 2, Kuang Fu Road, Hsin Chu 30013, Taiwan (China); Institute of NanoEngineering and MicroSystems, National Tsing Hua University, 101, Section 2, Kuang Fu Road, Hsin Chu 30013, Taiwan (China)
2014-10-13
This paper proposes a non-wavelength-shortening-related critical dimension and pattern size reduction solution for the integrated circuit industry that entails generating strain on the substrate prior to lithography. Pattern size reduction of up to 49% was achieved regardless of shape, location, and size on the xy plane, and complete theoretical calculations and process steps are described in this paper. This technique can be applied to enhance pattern resolution by employing materials and process parameters already in use and, thus, to enhance the capability of outdated lithography facilities, enabling them to particularly support the manufacturing of flexible electronic devices with polymer substrates.
Tunneling of Vector Particles from Lorentzian Wormholes in 3+1 Dimensions
Sakalli, I
2015-01-01
In this article, we consider the Hawking radiation (HR) of vector (massive spin-1) particles from the traversable Lorentzian wormholes (TLWH) in 3+1 dimensions. We start by providing the Proca equations for the TLWH. Using the Hamilton-Jacobi (HJ)ans\\"{a}tz with the WKB approximation in the quantum tunneling method, we obtain the probabilities of the emission/absorption modes. Then, we derive the tunneling rate of the emitted vector particles and manage to read the standard Hawking temperature of the TLWH. The result obtained represents a negative temperature, which is also discussed.
Tunneling of Vector Particles from Lorentzian Wormholes in 3+1 Dimensions
I. Sakalli; A. Ovgun
2015-05-08
In this article, we consider the Hawking radiation (HR) of vector (massive spin-1) particles from the traversable Lorentzian wormholes (TLWH) in 3+1 dimensions. We start by providing the Proca equations for the TLWH. Using the Hamilton-Jacobi (HJ)ans\\"{a}tz with the WKB approximation in the quantum tunneling method, we obtain the probabilities of the emission/absorption modes. Then, we derive the tunneling rate of the emitted vector particles and manage to read the standard Hawking temperature of the TLWH. The result obtained represents a negative temperature, which is also discussed.
A comparative study of Dirac quasinormal modes of charged black holes in higher dimensions
Sayan K. Chakrabarti
2009-03-26
In this work we study the Dirac quasinormal modes of higher dimensional charged black holes. Higher dimensional Reissner-N\\"{o}rdstrom type black holes as well as charged black holes in Einstein Gauss-Bonnet theories are studied for Fermionic perturbations using WKB method. A comparative study of the quasinormal modes in the two different theories of gravity has been performed. The beahviour of the frequencies with the variation of black hole parameters as well as with the variation of spacetime dimensions are done. We also study the large multipole number limit of the black hole potential in order to look for an analytic expression for the frequencies.
Tensor renormalization group analysis of ${\\rm CP}(N-1)$ model in two dimensions
Kawauchi, Hikaru
2015-01-01
We apply the higher order tensor renormalization group to lattice CP($N-1$) model in two dimensions. A tensor network representation of CP($N-1$) model is derived. We confirm that the numerical results of the CP(1) model without the $\\theta$-term using this method are consistent with that of the O(3) model which is analyzed by the same method in the region $\\beta \\gg 1$ and that obtained by Monte Carlo simulation in a wider range of $\\beta$.
Tensor renormalization group analysis of ${\\rm CP}(N-1)$ model in two dimensions
Hikaru Kawauchi; Shinji Takeda
2015-11-02
We apply the higher order tensor renormalization group to lattice CP($N-1$) model in two dimensions. A tensor network representation of CP($N-1$) model is derived. We confirm that the numerical results of the CP(1) model without the $\\theta$-term using this method are consistent with that of the O(3) model which is analyzed by the same method in the region $\\beta \\gg 1$ and that obtained by Monte Carlo simulation in a wider range of $\\beta$.
The Hausdorff dimension of fractal sets and fractional quantum Hall effect
Wellington da Cruz
2003-05-27
We consider Farey series of rational numbers in terms of {\\it fractal sets} labeled by the Hausdorff dimension with values defined in the interval 1$ $$ < $$ $$h$$ $$ <$$ $$ 2$ and associated with fractal curves. Our results come from the observation that the fractional quantum Hall effect-FQHE occurs in pairs of {\\it dual topological quantum numbers}, the filling factors. These quantum numbers obey some properties of the Farey series and so we obtain that {\\it the universality classes of the quantum Hall transitions are classified in terms of $h$}. The connection between Number Theory and Physics appears naturally in this context.
Smillie, Jennifer M; Webber, Bryan R
ar X iv :h ep -p h/ 05 07 17 0v 3 2 1 Fe b 20 07 Preprint typeset in JHEP style - PAPER VERSION Cavendish–HEP–05/11 Distinguishing Spins in Supersymmetric and Universal Extra Dimension Models at the Large Hadron Collider? Jennifer M. Smillie1... lepton mass distribution 8 4.6 Observable quark-lepton correlations 9 5. Production cross sections 11 6. Experimental observables 13 7. Conclusions 15 A. Quark + far lepton correlation 16 B. UED production cross sections 17 1. Introduction The search...
The high-temperature behavior for the directed polymer in dimension 1+2
Quentin Berger; Hubert Lacoin
2015-06-30
We investigate the high-temperature behavior of the directed polymer model in dimension $1+2$. More precisely we study the difference $\\Delta \\mathtt{F}(\\beta)$ between the quenched and annealed free energies for small values of the inverse temperature $\\beta$. This quantity is associated to localization properties of the polymer trajectories, and is related to the overlap fraction of two replicas. Adapting recent techniques developed by the authors in the context of the disordered pinning model (Berger and Lacoin, arXiv:1503.07315 [math-ph]), we identify the sharp asymptotic high temperature behavior \\[\\lim_{\\beta\\to 0} \\, \\beta^2 \\log \\Delta \\mathtt{F}(\\beta) = -\\pi \\, .\\
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Ground-state energy of the interacting Bose gas in two dimensions: An explicit construction
Beane, Silas R.
2010-12-15
The isotropic scattering phase shift is calculated for nonrelativistic bosons interacting at low energies via an arbitrary finite-range potential in d space-time dimensions. Scattering on a (d-1)-dimensional torus is then considered, and the eigenvalue equation relating the energy levels on the torus to the scattering phase shift is derived. With this technology in hand, and focusing on the case of two spatial dimensions, a perturbative expansion is developed for the ground-state energy of N identical bosons which interact via an arbitrary finite-range potential in a finite area. The leading nonuniversal effects due to range corrections and three-body forces are included. It is then shown that the thermodynamic limit of the ground-state energy in a finite area can be taken in closed form to obtain the energy per particle in the low-density expansion by explicitly summing the parts of the finite-area energy that diverge with powers of N. The leading and subleading finite-size corrections to the thermodynamic limit equation of state are also computed. Closed-form results--some well known, others perhaps not--for two-dimensional lattice sums are included in an Appendix.
Proton decay via dimension-six operators in intersecting D6-brane models
Mirjam Cvetic; Robert Richter
2006-08-04
We analyze the proton decay via dimension six operators in supersymmetric SU(5)-Grand Unified models based on intersecting D6-brane constructions in Type IIA string theory orientifolds. We include in addition to 10* 10 10* 10 interactions also the operators arising from 5-bar* 5-bar 10* 10 interactions. We provide a detailed construction of vertex operators for any massless string excitation arising for arbitrary intersecting D-brane configurations in Type IIA toroidal orientifolds. In particular, we provide explicit string vertex operators for the 10 and 5-bar chiral superfields and calculate explicitly the string theory correlation functions for above operators. In the analysis we chose the most symmetric configurations in order to maximize proton decay rates for the above dimension six operators and we obtain a small enhancement relative to the field theory result. After relating the string proton decay rate to field theory computations the string contribution to the proton lifetime is tau^{ST}_p =(0.5-2.1) x 10^{36} years, which could be up to a factor of three shorter than that predicted in field theory.
Search for signatures of extra dimensions in the diphoton mass spectrum at the Large Hadron Collider
Chatrchyan, Serguei; Khachatryan, Vardan; Sirunyan, Albert M.; Tumasyan, Armen; Adam, Wolfgang; Bergauer, Thomas; Dragicevic, Marko; ErÃ¶, Janos; Fabjan, Christian; Friedl, Markus; Fruehwirth, Rudolf; /Yerevan Phys. Inst. /Vienna, OAW /Minsk, High Energy Phys. Ctr. /Antwerp U., WISINF /Vrije U., Brussels /Brussels U. /Gent U. /Louvain U. /UMH, Mons /Rio de Janeiro, CBPF /Rio de Janeiro State U.
2011-12-01
A search for signatures of extra dimensions in the diphoton invariant-mass spectrum has been performed with the CMS detector at the LHC. No excess of events above the standard model expectation is observed using a data sample collected in proton-proton collisions at {radical}s = 7 TeV corresponding to an integrated luminosity of 2.2 fb{sup -1}. In the context of the large-extra-dimensions model, lower limits are set on the effective Planck scale in the range of 2.3-3.8 TeV at the 95% confidence level. These limits are the most restrictive bounds on virtual-graviton exchange to date. The most restrictive lower limits to date are also set on the mass of the first graviton excitation in the Randall-Sundrum model in the range of 0.86-1.84 TeV, for values of the associated coupling parameter between 0.01 and 0.10.
Accelerating universe from gravitational leakage into extra dimensions: confrontation with SNeIa
Zong-Hong Zhu; Jailson S. Alcaniz
2004-11-01
There is mounting observational evidence that the expansion of our universe is undergoing an acceleration. A dark energy component has usually been invoked as the most feasible mechanism for the acceleration. However, it is desirable to explore alternative possibilities motivated by particle physics before adopting such an untested entity. In this work, we focus our attention on an acceleration mechanism: one arising from gravitational leakage into extra dimensions. We confront this scenario with high-$z$ type Ia supernovae compiled by Tonry et al. (2003) and recent measurements of the X-ray gas mass fractions in clusters of galaxies published by Allen et al. (2002,2003). A combination of the two databases gives at a 99% confidence level that $\\Omega_m=0.29^{+0.04}_{-0.02}$, $\\Omega_{rc}=0.21^{+0.08}_{-0.08}$, and $\\Omega_k=-0.36^{+0.31}_{-0.35}$, indicating a closed universe. We then constrain the model using the test of the turnaround redshift, $z_{q=0}$, at which the universe switches from deceleration to acceleration. We show that, in order to explain that acceleration happened earlier than $z_{q=0} = 0.6$ within the framework of gravitational leakage into extra dimensions, a low matter density, $\\Omega_m < 0.27$, or a closed universe is necessary.
Higgs Production and Decay in Models of a Warped Extra Dimension with a Bulk Higgs
Archer, Paul R; Carmona, Adrian; Neubert, Matthias
2015-01-01
Warped extra-dimension models in which the Higgs boson is allowed to propagate in the bulk of a compact AdS$_5$ space are conjectured to be dual to models featuring a partially composite Higgs boson. They offer a framework with which to investigate the implications of changing the scaling dimension of the Higgs operator, which can be used to reduce the constraints from electroweak precision data. In the context of such models, we calculate the cross section for Higgs production in gluon fusion and the $H\\to\\gamma\\gamma$ decay rate and show that they are finite (at one-loop order) as a consequence of gauge invariance. The extended scalar sector comprising the Kaluza-Klein excitations of the Standard Model scalars is constructed in detail. The largest effects are due to virtual KK fermions, whose contributions to the cross section and decay rate introduce a quadratic sensitivity to the maximum allowed value $y_\\ast$ of the random complex entries of the 5D anarchic Yukawa matrices. We find an enhancement of the ...
Flowing to Higher Dimensions: A New Strongly-Coupled Phase on M2 Branes
Pilch, Krzysztof; Warner, Nicholas P
2015-01-01
We describe a new holographic RG flow starting from $AdS_4 \\times S^7$ and going to $\\widehat{AdS_5} \\times {\\cal B}_6$ where ${\\cal B}_6$ is conformal to a K\\"ahler manifold and $\\widehat{AdS_5}$ is Poincar\\'e $AdS_5$ with one spatial direction compactified and fibered over ${\\cal B}_6$. This new solution "flows up dimensions," going from the $(2+1)$-dimensional conformal field theory on M2 branes in the UV to a $(3+1)$-dimensional field theory on intersecting M5 branes in the infra-red. The M2 branes indeed completely polarize into M5 branes along the flow and the Poincar\\'e sections of the $\\widehat{AdS_5}$ are the $(3+1)$-dimensional common intersection of the M5 branes. The emergence of the extra dimension in the infra-red suggests a new strongly-coupled phase of the M2-brane and ABJM theories in which charged solitons are becoming massless. The flow solution is first analyzed in four-dimensional ${\\cal N}=8$ gauged supergravity, where the solution appears to be quite singular. The uplift to eleven-dimen...
Tilli, Andrea; Conficoni, Christian
2011-01-01
In this chapter some results related to Shunt Active Filters (SAFs) and obtained by the authors and some coauthors are reported. SAFs are complex power electronics equipments adopted to compensate for cur-rent harmonic pollution in electric mains, due to nonlinear loads. By using a proper "floating" capacitor as energy reservoir, the SAF purpose is to inject in the line grid currents canceling the polluting har-monics. Control algorithms play a key role for such devices and, in general, in many power electronics applications. Moreover, systems theory is crucial, since it is the mathematical tool that enables a deep understanding of the involved dynamics of such systems, allowing a correct dimensioning, beside an effective control. As a matter of facts, current injection objective can be straightforwardly formulated as an output tracking control problem. In this fashion, the structural and insidious marginally-stable internal/zero dynamics of SAFs can be immediately highlighted and characterized in terms of si...
Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results
Elina Seel; Dominik Smith; Stefano Lottini; Francesco Giacosa
2013-07-01
A detailed study of the thermodynamics of the O(N=3) model in 1+1 dimensions is presented, employing a two-particle-irreducible resummation prescription as well as fully nonperturbative finite-temperature lattice simulations. The analytical results are computed using the Cornwall-Jackiw-Tomboulis (CJT) formalism and the auxiliary field method to one- and to two-loop order. The lattice results are obtained through Monte Carlo simulation for various lattice spacings. The analytical and lattice results for pressure, trace anomaly, and energy density, resembling closely those of four-dimensional Yang-Mills theories, are compared with each other. We find that to one-loop order there is a good correspondence between the CJT formalism and the lattice study for low temperatures. However, at high T the two-loop calculation fares better, correcting for the overestimation from the former approximation.
Solving cosmological problem in universal extra dimension models by introducing Dirac neutrino
Shigeki Matsumoto; Joe Sato; Masato Senami; Masato Yamanaka
2007-03-31
Universal extra dimension (UED) models with right-handed neutrinos are studied. The introduction of the neutrinos makes us possible not only to describe Dirac neutrino masses but also to solve the cosmological problem called the KK graviton problem. This problem is essentially caused by the late time decay of a KK photon into a KK graviton and a photon, and it distorts the spectrum of the cosmic microwave background or the diffuse photon. We point out that, once we introduce right-handed neutrinos to UED models, the KK photon decays dominantly into neutrinos and does not emit a photon. We also discuss sub-dominant modes with a photon in the decay quantitatively, and show that their branching ratios are so small that the spectra are not distorted.
Jennifer M. Smillie; Bryan R. Webber
2007-02-21
An interesting alternative to supersymmetry (SUSY) for extending physics beyond the Standard Model is a model with universal extra dimensions (UED), in which the SUSY superpartners are replaced by Kaluza-Klein excitations of the Standard Model particles. If new particles are discovered at the LHC, even if their mass spectrum favours SUSY or UED, it will be vital to distinguish between their spin assignments in the two models as far as possible. We extend the method proposed by Barr [hep-ph/0405052] to the UED case and investigate the angular and charge asymmetries of decay distributions for sample mass spectra of both SUSY and UED types. For hierarchical (`SUSY-type') mass spectra there is a good chance of distinguishing the spin structures of the two models. However, a mass spectrum of the quasi-degenerate type expected in UED would make it difficult to observe spin correlations.
Is the Time a Dimension of an Alien Universe? (this hypothesis gives an additional redshift)
L. Ya. Kobelev
2000-05-25
On the base of the hypothesis about a nature of the time as a dimension of alien Universe relation between alteration of time with coordinates $\\frac{\\partial t}{\\partial x}$ and time {t} offered: $ \\frac{\\partial t} {\\partial x} = H_{t} t$ . This relation is an analogy of the Habble law in the time space. The consequence of it is additional redshift $Z_{DT}$ depending on differences $\\tau$ of times existence of the objects with redshift that are compared ($t_{0}$ is the time existence of more old object): $Z_{DT}=\\frac{1+\\frac{\\tau}{t_{0}}}{\\sqrt{1-(\\frac{\\tau}{t_{0}}})^{2}}-1$. The redshift of Arp galaxies may be explained if this relation is used and this explanation doe's not contradict Arp hypothesis about supernova explosions. Discussion a possibilities of experimental verification of the hypothesis is considered.
Is the Time a Dimension of an Alien Universe? (this hypothesis gives an additional redshift)
Kobelev, L Yu
2000-01-01
On the base of the hypothesis about a nature of the time as a dimension of alien Universe relation between alteration of time with coordinates $\\frac{\\partial t}{\\partial x}$ and time {t} offered: $ \\frac{\\partial t} {\\partial x} = H_{t} t$ . This relation is an analogy of the Hubble law in the time space. The consequence of it is additional redshift $Z_{DT}$ depending on differences $\\tau$ of times existence of the objects with redshift that are compared ($t_{0}$ is the time existence of more old object): $Z_{DT}=\\frac{1+\\frac{\\tau}{t_{0}}}{\\sqrt{1-(\\frac{\\tau}{t_{0}}})^{2}}-1$. The redshift of Arp galaxies may be explained if this relation is used and this explanation doe's not contradict Arp hypothesis about supernova explosions. Discussion a possibilities of experimental verification of the hypothesis is considered.
Lagrange multiplier and Wess-Zumino variable as large extra dimensions in the torus universe
Nejad, Salman Abarghouei; Monemzadeh, Majid
2015-01-01
We study the effect of the topology of universe by gauging the non-relativistic particle model on the torus and 3-torus, using the symplectic formalism of constrained systems and embedding those models on extended phase-spaces. Also, we obtain the generators of the gauge transformations for gauged models. Extracting the corresponding Poisson structure of the existed constraints, we show the effect of the topology on the canonical structure of the phase-spaces of those models and suggest some phenomenology to prove the topology of the universe and probable non-commutative structure of the space. In addition, we show that the number of large extra dimensions in the Phase-spaces of the gauged embeded models are exactly two. Moreover, in the classical form, we talk over MOND theory in order to study the origin of the terms appeared in the gauged theory, which modify the Newton's second law.
Minimal boson stars in 5 dimensions: classical instability and existence of ergoregions
Yves Brihaye; Betti Hartmann
2015-09-22
We show that minimal boson stars, i.e. boson stars made out of scalar fields without self-interaction, are always classically unstable in 5 space-time dimensions. This is true for the non-rotating as well as rotating case and in both Einstein and Gauss-Bonnet gravity, respectively, and contrasts with the 4-dimensional case, where classically stable minimal boson stars exist. We also discuss the appearance of ergoregions for rotating boson stars. While rotating black holes typically possess an ergoregion, rotating compact objects without horizons such as boson stars have ergoregions only in a limited range of the parameter space. In this paper, we show for which values of the parameters these ergoregions appear and compare this with the case of standard Einstein gravity. We also point out that the interplay between Gauss-Bonnet gravity and rotation puts constraints on the behaviour of the space-time close to the rotation axis.
CFT dual of charged AdS black hole in the large dimension limit
Er-Dong Guo; Miao Li; Jia-Rui Sun
2015-12-28
We study the dual CFT description of the $d+1$-dimensional Reissner-Nordstr\\"om-Anti de Sitter (RN-AdS$_{d+1}$) black hole in the large dimension (large $d$) limit, both for the extremal and nonextremal cases. The central charge of the dual CFT$_2$ (or chiral CFT$_1$) is calculated for the near horizon near extremal geometry which possess an AdS$_2$ structure. Besides, the $Q$-picture hidden conformal symmetry in the nonextremal background can be naturally obtained by a probe charged scalar field in the large $d$ limit, without the need to input the usual limits to probe the hidden conformal symmetry. Furthermore, an new dual CFT description of the nonextremal RN-AdS$_{d+1}$ black hole is found in the large $d$ limit and the duality is analyzed by comparing the entropies, the absorption cross sections and the retarded Green's functions obtained both from the gravity and the dual CFT sides.
Electric and magnetic screenings of gluons in a model with dimension-2 gluon condensate
Fukun Xu; Mei Huang
2011-11-22
Electric and magnetic screenings of the thermal gluons are studied by using the background expansion method in a gluodynamic model with dimension-2 gluon condensate. At low temperature, the electric and magnetic gluons are degenerate. With the increasing of temperature, it is found that the electric and magnetic gluons start to split at certain temperature $T_0$. The electric screening mass changes rapidly with temperature when $T>T_0$, and the Polyakov loop expectation value rises sharply around $T_0$ from zero in the vacuum to a value around 0.8 at high temperature. This suggests that the color electric deconfinement phase transition is driven by electric gluons. It is also observed that the magnetic screening mass keeps almost the same as its vacuum value, which manifests that the magnetic gluons remains confined. Both the screening masses and the Polyakov loop results are qualitatively in agreement with the Lattice calculations.
On first-arrival-time distributions for a Dirac electron in 1+1 dimensions
D. Alonso; R. Sala Mayato; C. R. Leavens
2002-06-12
For the special case of freely evolving Dirac electrons in $1 + 1$ dimensions, Feynman checkerboard paths have previously been used to derive Wigner's arrival-time distribution which includes all arrivals. Here, an attempt is made to use these paths to determine the corresponding distribution of first-arrival times. Simple analytic expressions are obtained for the relevant components of the first-arrival propagator. These are used to investigate the relative importance of the first-arrival contribution to the Wigner arrival-time distribution and of the contribution arising from interference between first and later (i.e. second, third, ...) arrivals. It is found that a distribution of (intrinsic) first-arrival times for a Dirac electron cannot in general be consistently defined using checkerboard paths, not even approximately in the nonrelativistic regime.
Anomalous dimensions determine the power counting -- Wilsonian RG analysis of nuclear EFT --
Harada, K; Harada, Koji; Kubo, Hirofumi
2006-01-01
The Legendre flow equation, a version of exact Wilsonian renormalization group (WRG) equation, is employed to consider the power counting issues in Nuclear Effective Field Theory. A WRG approach is an ideal framework because it is nonperturbative and does not require any prescribed power counting rule. The power counting is determined systematically from the scaling dimensions of the operators at the nontrivial fixed point. The phase structure is emphasized and the inverse of the scattering length, which is identified as a relevant coupling, is shown to play a role of the order parameter. The relations to the work done by Birse, McGovern, and Richardson and to the Kaplan-Savage-Wise scheme are explained.
Anomalous dimensions determine the power counting -- Wilsonian RG analysis of nuclear EFT --
Koji Harada; Hirofumi Kubo
2006-10-24
The Legendre flow equation, a version of exact Wilsonian renormalization group (WRG) equation, is employed to consider the power counting issues in Nuclear Effective Field Theory. A WRG approach is an ideal framework because it is nonperturbative and does not require any prescribed power counting rule. The power counting is determined systematically from the scaling dimensions of the operators at the nontrivial fixed point. The phase structure is emphasized and the inverse of the scattering length, which is identified as a relevant coupling, is shown to play a role of the order parameter. The relations to the work done by Birse, McGovern, and Richardson and to the Kaplan-Savage-Wise scheme are explained.
Comments on supersymmetric solutions of minimal gauged supergravity in five dimensions
Cassani, Davide; Martelli, Dario
2015-01-01
We investigate supersymmetric solutions of minimal gauged supergravity in five dimensions, in the timelike class. We propose an ansatz based on a four-dimensional local orthotoric Kaehler metric and reduce the problem to a single sixth-order equation for two functions, each of one variable. We find an analytic, asymptotically locally AdS solution comprising five parameters. For a conformally flat boundary, this reduces to a previously known solution with three parameters, representing the most general solution of this type known in the minimal theory. We discuss the possible relevance of certain topological solitons contained in the latter to account for the supersymmetric Casimir energy of dual superconformal field theories on S^3 x R. Although we obtain a negative response, our analysis clarifies several aspects of these solutions. In particular, we show that there exists a unique regular topological soliton in this family.
Non-local gravity in D-dimensions: Propagator, entropy and bouncing Cosmology
Conroy, Aindriu; Talaganis, Spyridon; Teimouri, Ali
2015-01-01
We present the graviton propagator for an infinite derivative, $D$-dimensional, non-local action, up to quadratic order in curvature around a Minkowski background, and discuss the conditions required for this class of gravity theory to be ghost-free. We then study the gravitational entropy for de-Sitter and Anti-de Sitter backgrounds, before comparing with a recently derived result for a Schwarzschild blackhole, generalised to arbitrary $D$-dimensions, whereby the entropy is given simply by the area law. A novel approach of decomposing the entropy into its $(r, t)$ and spherical components is adopted in order to illustrate the differences more clearly. We conclude with a discussion of de-Sitter entropy in the framework of a non-singular bouncing cosmology.
Triviality of the BCS-BEC crossover in extended dimensions: Implications for the ground state energy
Nussinov, Zohar [Department of Physics, Washington University, St. Louis, Missouri 63160-4899 (United States); Nussinov, Shmuel [School of Physics and Astronomy, Tel Aviv University, Ramat-Aviv, Tel Aviv 69978 (Israel)
2006-11-15
Cold atom traps and certain neutron star layers may contain fermions with separation much larger than the range of pairwise potentials yet much shorter than the scattering length. Such systems can display universal characteristics independent of the details of the short range interactions. Our main result is that for space dimensions D smaller than two and larger than four a specific extension of this problem is amenable to exact results. In particular, the energy per particle at the BCS-BEC crossover point is equal to the energy of the free fermion system in all D{<=}2 whereas this energy is rigorously nonpositive (and potentially vanishing) in all D{>=}4. We discuss the D=3 case. A particular unjustified recipe suggests {xi}=1/2 in D=3.
Effects of higher dimension operators on the Standard Model Higgs sector
Akerlund, Oscar; Steinbauer, Jakob
2015-01-01
We study the effect of higher dimension operators on the electroweak finite temperature phase transition in two sectors of the Standard Model. Firstly, the Higgs-Yukawa sector, consisting of the Higgs doublet and the massive Standard Model fermions, is studied with an approximate method, Extended Mean Field Theory. Secondly, the gauge-Higgs sector, consisting of the Higgs doublet and the gauge fields of the weak interaction, is studied using Monte Carlo simulations. In both cases we find that a cutoff scale of around 1.5 TeV is needed to make the electroweak phase transition first order at the experimental value of the Higgs boson mass, which is a requirement for making electroweak baryogenesis viable.
Free Energy and Plaquette expectation value for gluons on the lattice, in three dimensions
H. Panagopoulos; A. Skouroupathis; A. Tsapalis
2006-02-24
We calculate the perturbative value of the Free Energy in Lattice QCD in three dimensions, up to three loops. Our calculation is performed using the Wilson formulation for gluons in SU(N) gauge theories. The Free Energy is directly related to the average plaquette. To carry out the calculation, we compute the coefficients involved in the perturbative expansion of the Free Energy up to three loops, using an automated set of procedures developed by us in Mathematica. The dependence on N is shown explicitly in our results. For purposes of comparison, we also present the individual contributions from every diagram. These have been obtained by means of two independent calculations, in order to cross check our results.
Neuronal micro-culture engineering by microchannel devices of cellular scale dimensions
Goyal, Gaurav
2015-01-01
Purpose: The purpose of the current study was to investigate the effect of microchannel geometry on neuronal cultures and to maintain these cultures for long period of time (over several weeks) inside the closed microchannels of cellular scale dimensions. Methods: The primary hippocampal neurons from E-18 rat were cultured inside the closed polydimethylsiloxane (PDMS) microchannels of varying sizes. The effect of the channel geometry on the spatial and the temporal variations in the neural microenvironment was investigated by studying neural maturation and variation in the media osmolality respectively. The cultures were maintained for longer time spans by PDMS device pretreatment, control on media evaporation (by using hydrophobic ethylene propylene membrane) and an effective culture maintenance protocol. Further, the devices were integrated with the planar microelectrode arrays (MEA) to record spontaneous electrical activity. Results: A direct influence of channel geometry on neuron maturation was observed ...
Shearer's point process and the hard-sphere model in one dimension
Christoph Hofer-Temmel
2015-04-10
We revisit the smallest non-physical singularity of the hard-sphere model in one dimension, also known as Tonks gas. We give an explicit expression of the free energy and reduced correlations at negative real fugacity and elaborate the nature of the singularity: the free energy is right-continuous, but its derivative diverges. We derive these results in several novel ways: First, by scaling up the discrete solution. Second, by an inductive argument on the partition function \\`a la Dobrushin. Third, by a perfect cluster expansion counting the Penrose trees in the Mayer expansion perfectly. Fourth, by an explicit construction of Shearer's point process, the unique R-dependent point process with an R-hard-core. The last connection yields explicit and optimal lower bounds on the avoidance function of R-dependent point processes on the real line.
Lazoflores, Jose A.; /Florida State U.
2006-04-01
A search was conducted for evidence of large extra dimensions (LED) at Fermi National Accelerator Laboratory's Tevatron using the D0 detector. The Tevatron is a p{bar p} collider at a center of mass energy of 1.96 TeV. Events with particles escaping into extra dimensions will have large missing energy. The search was carried out using data from a total luminosity of 197 {+-} 13 pb{sup -1} with an observable high transverse momentum photon and a large transverse missing energy. The 70 observed events are consistent with photons produced by standard known reactions plus other background processes produced by cosmic muons. The mass limits on the fundamental mass scale at 95% confidence level for large extra dimensions of 2, 4, 6 and 8 are 500 GeV, 581 GeV, 630 GeV, and 668 GeV respectively.
Jukna, Stasys
associate with each vertex x V(G) the set of labels Ax = {i | x V(Gi)}. For the threshold-1 dimension
Fractal dimension of cohesive sediment flocs at steady state under seven shear flow conditions
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Zhu, Zhongfan; Yu, Jingshan; Wang, Hongrui; Dou, Jie; Wang, Cheng
2015-08-12
The morphological properties of kaolin flocs were investigated in a Couette-flow experiment at the steady state under seven shear flow conditions (shear rates of 5.36, 9.17, 14, 24, 31, 41 and 53 s-1). These properties include a one-dimensional (1-D) fractal dimension (D1), a two-dimensional (2-D) fractal dimension (D2), a perimeter-based fractal dimension (Dpf) and an aspect ratio (AR). They were calculated based on the projected area (A), equivalent size, perimeter (P) and length (L) of the major axis of the floc determined through sample observation and an image analysis system. The parameter D2, which characterizes the relationship between the projectedmore »area and the length of the major axis using a power function, A ? LD2, increased from 1.73 ± 0.03, 1.72 ± 0.03, and 1.75 ± 0.04 in the low shear rate group (G = 5.36, 9.17, and 14 s-1) to 1.92 ± 0.03, 1.82 ± 0.02, 1.85 ± 0.02, and 1.81 ± 0.02 in the high shear rate group (24, 31, 41 and 53 s-1), respectively. The parameter D1 characterizes the relationship between the perimeter and length of the major axis by the function P ? LD1 and decreased from 1.52 ± 0.02, 1.48 ± 0.02, 1.55 ± 0.02, and 1.63 ± 0.02 in the low shear group (5.36, 9.17, 14 and 24 s-1) to 1.45 ± 0.02, 1.39 ± 0.02, and 1.39 ± 0.02 in the high shear group (31, 41 and 53 s-1), respectively. The results indicate that with increasing shear rates, the flocs become less elongated and that their boundary lines become tighter and more regular, caused by more breakages and possible restructurings of the flocs. The parameter Dpf, which is related to the perimeter and the projected area through the function , decreased as the shear rate increased almost linearly. The parameter AR, which is the ratio of the length of the major axis and equivalent diameter, decreased from 1.56, 1.59, 1.53 and 1.51 in the low shear rate group to 1.43, 1.47 and 1.48 in the high shear rate group. These changes in Dpf and AR show that the flocs become less convoluted and more symmetrical and that their boundaries become smoother and more regular in the high shear rate group than in the low shear rate group due to breakage and possible restructuring processes. To assess the effects of electrolyte and sediment concentration, 0.1 mol/L calcium chloride (CaCl2) and initial sediment concentration from 7.87 × 10-5 to 1.57 × 10-5 were used in this preliminary study. The addition of electrolyte and increasing sediment concentration could produce more symmetrical flocs with less convoluted and simpler boundaries. In addition, some new information on the temporal variation of the median size of the flocs during the flocculation process is presented.« less
How to Use the Dimension Elite 3D Printer (in the Carnegie Mellon MechE Machine Shop)
McGaughey, Alan
How to Use the Dimension Elite 3D Printer (in the Carnegie Mellon MechE Machine Shop) The 3D printer is in the undergraduate area of the shop, by the safety glasses, lasercutters, etc. 2) Login to the computer beside the 3D printer using your Andrew username and password (Note: at the time
What is Your Environmental Wellness? The environmental dimension involves accepting the impact we sprays. _____ 7. I do not litter. _____ 8. I volunteer my time for environmental conservation projects about doing my part to preserve the environment. _____ Total for Environmental Wellness SCORE MEANING 15
current level of the superconductors The MFCL device operates in a "superconducting" state No major I2RHTS Solutions for a New Dimension in Power Superconductivity for Electric Systems 2004 Annual DOE Peer Review Superconductivity for Electric Systems 2004 Annual DOE Peer Review HTS Matrix Fault Current
Lozano-Robledo, Alvaro
Formulas & definitions to know Formulas & definitions that will be provided if needed Distance formula in 3 dimensions compab = aÂ·b |a| Equation of a sphere W = F Â· D (work, force, distance) Vector of differentiability for a function of two variables arc length formula, arc length function the graph of a function
Bachmann, Michael
Freezing and collapse of flexible polymers on regular lattices in three dimensions Thomas Vogel,1-degenerate energetic states is expected to happen: the freezing or crys- tallization of the polymer. Since interaction range, collapse and freezing transition can fall together in the thermodynamic limit 12
Christopher Shirley
2014-09-30
The purpose of the present work is to establish decorrelation estimates at distinct energies for some random Schr\\"odinger operator in dimension one. In particular, we establish the result for some random operators on the continuum with alloy-type potential. These results are used to give a description of the spectral statistics.
Ringel, Claus Michael
The global dimension of the endomorphism ring of a generator-cogenerator for a hereditary artin a -module which is both a generator and a cogenerator. We are going to describe the possibilities is called a generator if any projective module belongs to add M; it is called a cogenerator if any injective
Sites, James R.
Simulation of Polycrystalline Cu(In,Ga)Se2 Solar Cells in Two Dimensions Markus Gloeckler, Wyatt K) solar cells and its effects on solar-cell performance. The simulations predict that (1) for device cells have nearly reached 20% [1]. It is often argued that these improvements have been achieved despite
``Problem Set Six'' (1) In free scalar field theory in four dimensions, with mass m, calculate ij + \\Sigma ij , where \\Sigma ij , the ``selfÂenergy,'' is to be computed from loops. A very fundamental property of \\Sigma ij is that in momentum space k i \\Sigma ij (k) = 0. (An explanation of why
Local Jacobi Operators and Applications to the p-version of Finite Element Method in Two Dimensions
Guo, Benqi
Local Jacobi Operators and Applications to the p-version of Finite Element Method in Two Dimensions Benqi Guo Ivo Babuska Abstract Based on Jacobi projection operators p, on elements and edges we have designed local Jacobi operators j for smooth and singular solution on each triangular and quadrilateral
Rajesh Kumar Yadav; Nisha Kumari; Avinash Khare; Bhabani Prasad Mandal
2014-12-16
Rationally extended shape invariant potentials in arbitrary D-dimensions are obtained by using point canonical transformation (PCT) method. The bound-state solutions of these exactly solvable potentials can be written in terms of X_m Laguerre or X_m Jacobi exceptional orthogonal polynomials. These potentials are isospectral to their usual counterparts and possess translationally shape invariance property.
I. Radinschi; Th. Grammenos
2005-08-01
We use Moeller's energy-momentum complex in order to explicitly compute the energy and momentum density distributions for an exact solution of Einstein's field equations with a negative cosmological constant minimally coupled to a static massless scalar field in a static, spherically symmetric background in (2+1)-dimensions.
Lilly, Jonathan
2011-01-01
://www.ieee.org/publications_standards/publications/rights/ rights_policies.html. #12;5930 IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 59, NO. 12, DECEMBER 2011Lilly, J. M. (2011). Modulated oscillations in three dimensions. IEEE Transac- tions on Signal Processing, 59 (12), 59305943. c 2011 IEEE. Personal use of this material is permitted. However, permission
Nonlinear quantum-mechanical system associated with Sine-Gordon equation in (1 + 2) dimensions
Zarmi, Yair, E-mail: zarmi@bgu.ac.il [Jacob Blaustein Institutes for Desert Research, Ben-Gurion University of the Negev, Midreshet Ben-Gurion, 8499000 (Israel)
2014-10-15
Despite the fact that it is not integrable, the (1 + 2)-dimensional Sine-Gordon equation has N-soliton solutions, whose velocities are lower than the speed of light (c = 1), for all N ? 1. Based on these solutions, a quantum-mechanical system is constructed over a Fock space of particles. The coordinate of each particle is an angle around the unit circle. U, a nonlinear functional of the particle number-operators, which obeys the Sine-Gordon equation in (1 + 2) dimensions, is constructed. Its eigenvalues on N-particle states in the Fock space are the slower-than-light, N-soliton solutions of the equation. A projection operator (a nonlinear functional of U), which vanishes on the single-particle subspace, is a mass-density generator. Its eigenvalues on multi-particle states play the role of the mass density of structures that emulate free, spatially extended, relativistic particles. The simplicity of the quantum-mechanical system allows for the incorporation of perturbations with particle interactions, which have the capacity to “annihilate” and “create” solitons – an effect that does not have an analog in perturbed classical nonlinear evolution equations.
Scalar solitons and the microscopic entropy of hairy black holes in three dimensions
Francisco Correa; Cristian Martinez; Ricardo Troncoso
2010-10-06
General Relativity coupled to a self-interacting scalar field in three dimensions is shown to admit exact analytic soliton solutions, such that the metric and the scalar field are regular everywhere. Since the scalar field acquires slow fall-off at infinity, the soliton describes an asymptotically AdS spacetime in a relaxed sense as compared with the one of Brown and Henneaux. Nevertheless, the asymptotic symmetry group remains to be the conformal group, and the algebra of the canonical generators possesses the standard central extension. For this class of asymptotic behavior, the theory also admits hairy black holes which raises some puzzles concerning an holographic derivation of their entropy \\`a la Strominger. Since the soliton is devoid of integration constants, it has a fixed (negative) mass, and it can be naturally regarded as the ground state of the "hairy sector", for which the scalar field is switched on. This assumption allows to exactly reproduce the semiclassical hairy black hole entropy from the asymptotic growth of the number of states by means of Cardy formula. Particularly useful is expressing the asymptotic growth of the number of states only in terms of the spectrum of the Virasoro operators without making any explicit reference to the central charges.
Hairy black hole entropy and the role of solitons in three dimensions
Francisco Correa; Cristian Martinez; Ricardo Troncoso
2012-02-13
Scalar fields minimally coupled to General Relativity in three dimensions are considered. For certain families of self-interaction potentials, new exact solutions describing solitons and hairy black holes are found. It is shown that they fit within a relaxed set of asymptotically AdS boundary conditions, whose asymptotic symmetry group coincides with the one for pure gravity and its canonical realization possesses the standard central extension. Solitons are devoid of integration constants and their (negative) mass, fixed and determined by nontrivial functions of the self-interaction couplings, is shown to be bounded from below by the mass of AdS spacetime. Remarkably, assuming that a soliton corresponds to the ground state of the sector of the theory for which the scalar field is switched on, the semiclassical entropy of the corresponding hairy black hole is exactly reproduced from Cardy formula once nonvanishing lowest eigenvalues of the Virasoro operators are taking into account, being precisely given by the ones associated to the soliton. This provides further evidence about the robustness of previous results, for which the ground state energy instead of the central charge appears to play the leading role in order to reproduce the hairy black hole entropy from a microscopic counting.
Einstein-Born-Infeld black holes with a scalar hair in three-dimensions
S. Habib Mazharimousavi; M. Halilsoy
2015-07-28
We present black hole solutions in $2+1-$dimensional Einstein's theory of gravity coupled with Born-Infeld nonlinear electrodynamic and a massless self-interacting scalar field. The model has five free parameters: mass $M$, cosmological constant $\\ell $, electric $q$ and scalar $r_{0}$ charges and Born-Infeld parameter $\\beta $. To attain exact solution for such a highly non-linear system we adjust, i.e. finely tune, the parameters of the theory with the integration constants. In the limit $\\beta \\rightarrow 0$ we recover the results of Einstein-Maxwell-Scalar theory, obtained before. The self interacting potential admits finite minima apt for the vacuum contribution. Hawking temperature of the model is investigated versus properly tuned parameters. By employing this tuned-solution as basis, we obtain also a dynamic solution which in the proper limit admits the known solution in Einstein gravity coupled with self-interacting scalar field. Finally we establish the equations of a general scalar-tensor field coupled to nonlinear electrodynamics field\\ in $2+1-$dimensions without searching for exact solutions.
Hamiltonian dynamics of an exotic action for gravity in three dimensions
Escalante, Alberto Manuel-Cabrera, J.
2014-04-15
The Hamiltonian dynamics and the canonical covariant formalism for an exotic action in three dimensions are performed. By working with the complete phase space, we report a complete Hamiltonian description of the theory such as the extended action, the extended Hamiltonian, the algebra among the constraints, the Dirac’s brackets and the correct gauge transformations. In addition, we show that in spite of exotic action and tetrad gravity with a cosmological constant give rise to the same equations of motion, they are not equivalent, in fact, we show that their corresponding Dirac’s brackets are quite different. Finally, we construct a gauge invariant symplectic form which in turn represents a complete Hamiltonian description of the covariant phase space. -- Highlights: •We report a detailed Hamiltonian analysis for an exotic action of gravity. •We show that Palatini and exotic actions are not equivalent. •The exotic action is a non-commutative theory. •The fundamental gauge transformations of the theory are ?-deformed Poincaré transformations. •A Lorentz and gauge invariant symplectic two-form is constructed.
Identification of interactions in fractional-order systems with high dimensions
Ji, Xiaoxi; Wu, Yu; Sheng, Wenbo [School of Mathematical Sciences and Centre for Computational Systems Biology, Fudan University, Shanghai 200433 (China)] [School of Mathematical Sciences and Centre for Computational Systems Biology, Fudan University, Shanghai 200433 (China); Lin, Wei, E-mail: wlin@fudan.edu.cn [School of Mathematical Sciences and Centre for Computational Systems Biology, Fudan University, Shanghai 200433 (China) [School of Mathematical Sciences and Centre for Computational Systems Biology, Fudan University, Shanghai 200433 (China); Shanghai Key Laboratory of Data Science, LMNS, and Shanghai Center for Mathematical Sciences, Shanghai 200433 (China)
2014-06-15
This article proposes an approach to identify fractional-order systems with sparse interaction structures and high dimensions when observation data are supposed to be experimentally available. This approach includes two steps: first, it is to estimate the value of the fractional order by taking into account the solution properties of fractional-order systems; second, it is to identify the interaction coefficients among the system variables by employing the compressed sensing technique. An error analysis is provided analytically for this approach and a further improved approach is also proposed. Moreover, the applicability of the proposed approach is fully illustrated by two examples: one is to estimate the mutual interactions in a complex dynamical network described by fractional-order systems, and the other is to identify a high fractional-order and homogeneous sequential differential equation, which is frequently used to describe viscoelastic phenomena. All the results demonstrate the feasibility of figuring out the system mechanisms behind the data experimentally observed in physical or biological systems with viscoelastic evolution characters.
Geometrical properties of the trans-spherical solutions in higher dimensions
Kang, Gungwon; Kim, Hyeong-Chan; Lee, Jungjai
2009-06-15
We investigate the geometrical properties of static vacuum p-brane solutions of Einstein gravity in D=n+p+3 dimensions, which have spherical symmetry of S{sup n+1} orthogonal to the p directions and which are invariant under the translation along them. The solutions are characterized by the mass density and p number of tension densities. The causal structure of the higher-dimensional solutions is essentially the same as that of the five-dimensional ones. Namely, a naked singularity appears for most solutions except for the Schwarzschild black p-brane and the Kaluza-Klein bubble. We show that some important geometric properties such as the area of S{sup n+1} and the total spatial volume are characterized only by the three parameters (the mass density, the sum of tension densities, and the sum of tension density squares), rather than individual tension densities. These geometric properties are analyzed in detail in this parameter space and are compared with those of the five-dimensional case.
Point particles in 2+1 dimensions: general relativity and loop gravity descriptions
Jonathan Ziprick
2014-09-26
We develop a Hamiltonian description of point particles in (2+1)-dimensions using connection and frame-field variables for general relativity. The topology of each spatial hypersurface is that of a punctured two-sphere with particles residing at the punctures. We describe this topology with a CW complex (a collection of two-cells glued together along edges), and use this to fix a gauge and reduce the Hamiltonian. The equations of motion for the fields describe a dynamical triangulation where each vertex moves according to the equation of motion for a free relativistic particle. The evolution is continuous except for when triangles collapse (i.e. the edges become parallel) causing discrete, topological changes in the underlying CW complex. We then introduce the loop gravity phase space parameterized by holonomy-flux variables on a graph (a network of one-dimensional links). By embedding a graph within the CW complex, we find a description of this system in terms of loop variables. The resulting equations of motion describe the same dynamical triangulation as the connection and frame-field variables. In this framework, the collapse of a triangle causes a discrete change in the underlying graph, giving a concrete realization of the graph-changing moves that many expect to feature in full loop quantum gravity. The main result is a dynamical model of loop gravity which agrees with general relativity and is well-suited for quantization using existing methods.
Steven Abel; Chong-Sun Chu; Mark Goodsell
2006-09-27
We explore how the IR pathologies of noncommutative field theory are resolved when the theory is realized as open strings in background B-fields: essentially, since the IR singularities are induced by UV/IR mixing, string theory brings them under control in much the same way as it does the UV singularities. We show that at intermediate scales (where the Seiberg-Witten limit is a good approximation) the theory reproduces the noncommutative field theory with all the (un)usual features such as UV/IR mixing, but that outside this regime, in the deep infra-red, the theory flows continuously to the commutative theory and normal Wilsonian behaviour is restored. The resulting low energy physics resembles normal commutative physics, but with additional suppressed Lorentz violating operators. We also show that the phenomenon of UV/IR mixing occurs for the graviton as well, with the result that, in configurations where Planck's constant receives a significant one-loop correction (for example brane-induced gravity), the distance scale below which gravity becomes non-Newtonian can be much greater than any compact dimensions.
Guillermo Torres; David W. Latham; R. P. Stefanik
2007-03-12
We develop a technique to measure radial velocities of stars from spectra that present four sets of lines. The algorithm is an extension of the two-dimensional cross-correlation method TODCOR to four dimensions. It computes the correlation of the observed spectrum against a combination of four templates with all possible shifts, and allows also for the derivation of the light ratios of the components. After testing the algorithm and demonstrating its ability to measure Doppler shifts accurately even under conditions of heavy line blending, we apply it to the case of the quadruple-lined system HD 110555. The primary and secondary components of this previously known visual binary (separation about 0.4 arcsec) are each shown to be double-lined spectroscopic binaries with periods of 57 days and 76 days, respectively, making the system a hierarchical quadruple. The secondary in the 76-day subsystem contributes only 2.5% to the total light, illustrating the ability of the method to measure velocities of very faint components.
A dimension-breaking phenomenon for water waves with weak surface tension
Mark D. Groves; Shu-Ming Sun; Erik Wahlén
2014-11-10
It is well known that the water-wave problem with weak surface tension has small-amplitude line solitary-wave solutions which to leading order are described by the nonlinear Schr\\"odinger equation. The present paper contains an existence theory for three-dimensional periodically modulated solitary-wave solutions which have a solitary-wave profile in the direction of propagation and are periodic in the transverse direction; they emanate from the line solitary waves in a dimension-breaking bifurcation. In addition, it is shown that the line solitary waves are linearly unstable to long-wavelength transverse perturbations. The key to these results is a formulation of the water wave problem as an evolutionary system in which the transverse horizontal variable plays the role of time, a careful study of the purely imaginary spectrum of the operator obtained by linearising the evolutionary system at a line solitary wave, and an application of an infinite-dimensional version of the classical Lyapunov centre theorem.
Group-invariant solutions of semilinear Schrödinger equations in multi-dimensions
Anco, Stephen C.; Feng, Wei; Department of Mathematics, Zhejiang University of Technology, Hangzhou 310014
2013-12-15
Symmetry group methods are applied to obtain all explicit group-invariant radial solutions to a class of semilinear Schrödinger equations in dimensions n ? 1. Both focusing and defocusing cases of a power nonlinearity are considered, including the special case of the pseudo-conformal power p = 4/n relevant for critical dynamics. The methods involve, first, reduction of the Schrödinger equations to group-invariant semilinear complex 2nd order ordinary differential equations (ODEs) with respect to an optimal set of one-dimensional point symmetry groups, and second, use of inherited symmetries, hidden symmetries, and conditional symmetries to solve each ODE by quadratures. Through Noether's theorem, all conservation laws arising from these point symmetry groups are listed. Some group-invariant solutions are found to exist for values of n other than just positive integers, and in such cases an alternative two-dimensional form of the Schrödinger equations involving an extra modulation term with a parameter m = 2?n ? 0 is discussed.
Compression- and Shear-Driven Jamming of U-Shaped Particles in Two Dimensions
Theodore Marschall; Scott V. Franklin; S. Teitel
2015-01-23
We carry out numerical simulations of soft, U-shaped, frictionless particles in $d=2$ dimensions in order to explore the effects of complex particle shape on the jamming transition. We consider both cases of uniform compression-driven and shear-driven jamming as packing fraction $\\phi$ and compression or shear rate is varied. Upon slow compression, jamming is found to occur when the isostatic condition is satisfied. Under driven steady state shearing, jamming occurs at a higher packing fraction $\\phi_J$ than observed in compression. A growing relaxation time and translational correlation length is found as $\\phi$ increases towards $\\phi_J$. We consider the orientational ordering and rotation of particles induced by the shear flow. Both nematic and tetratic ordering are found, but these decrease as $\\phi$ increases to $\\phi_J$. At the jamming transition, the nematic ordering further decreases, while the tetratic ordering increases, but the orientational correlation lengths remain small throughout. The average angular velocity of the particles is found to increase as $\\phi$ increases, saturating to a plateau just below $\\phi_J$, but then increasing again as $\\phi$ increases above $\\phi_J$.
On Effective Spacetime Dimension in the Ho\\v{r}ava-Lifshitz Gravity
Alencar, G; Cunha, M S; Muniz, C R
2015-01-01
In this manuscript we explicitly compute the effective dimension of spacetime in some backgrounds of Ho\\v{r}ava-Lifshitz (H-L) gravity. For all the cases considered, the results are compatible with a dimensional reduction of the spacetime to $d+1=2$, at high energies (ultraviolet limit), which is confirmed by other quantum gravity approaches, as well as to $d+1=4$, at low energies (infrared limit). This is obtained by computing the free energy of massless scalar and gauge fields. We find that the only effect of the background is to change the proportionality constant between the internal energy and temperature. Firstly, we consider both the non-perturbative and perturbative models involving the matter action, without gravitational sources but with manifest time and space symmetry breaking, in order to calculate modifications in the Stephan-Boltzmann law. When gravity is taken into account, we assume a scenario in which there is a spherical source with mass $M$ and radius $R$ in thermal equilibrium with radiat...
$WWZ/?$ production in large extra dimensions model at LHC and ILC
Li Xiao-Zhou; Duan Peng-Fei; Ma Wen-Gan; Zhang Ren-You; Guo Lei
2012-11-06
We investigate the effect induced by the Kaluza-Klein (KK) graviton in the $W^+W^-\\gamma/Z$ production in the framework of the large extra dimensions (LED) model at both the CERN Large Hadron Collider (LHC) and the International Linear Collider (ILC). The integrated cross sections and various kinematic distributions in the LED model are presented and compared with those in the standard model. The results show that the contributions from KK-graviton exchange remarkably affect the observables of the triple gauge boson ($W^+W^-\\gamma/Z$) production processes at both the ILC and the LHC, particularly either in the high transverse momentum region or in the central rapidity region. We also find that the relative LED discrepancy for the $W^+W^-\\gamma/Z$ production at the LHC is generally larger than that at the ILC due to the additional LED contribution via $gg$ fusion subprocess and the KK-graviton exchanging resonant effect induced by the continuous large colliding energy in $pp$ collision. We conclude that the $W^{+}W^{-}\\gamma$ and $W^{+}W^{-}Z$ productions at the LHC could have the distinct advantage over at the ILC from the aspect of effectively exploring the LED signal in measuring $W^+W^-\\gamma/Z$ production.
Microscopic description of anisotropic low-density dipolar Bose gases in two dimensions
Macia, A.; Mazzanti, F.; Boronat, J.; Zillich, R. E.
2011-09-15
A microscopic description of the zero-energy two-body ground state and many-body static properties of anisotropic homogeneous gases of bosonic dipoles in two dimensions at low densities is presented and discussed. By changing the polarization angle with respect to the plane, we study the impact of the anisotropy, present in the dipole-dipole interaction, on the energy per particle, comparing the results with mean-field predictions. We restrict the analysis to the regime where the interaction is always repulsive, although the strength of the repulsion depends on the orientation with respect to the polarization field. We present a series expansion of the solution of the zero-energy two-body problem, which allows us to find the scattering length of the interaction and to build a suitable Jastrow factor that we use as a trial wave function for both a variational and diffusion Monte Carlo simulation of the infinite system. We find that the anisotropy has an almost negligible impact on the ground-state properties of the many-body system in the universal regime where the scattering length governs the physics of the system. We also show that scaling in the gas parameter persists in the dipolar case up to values where other isotropic interactions with the same scattering length yield different predictions.
Murton, Mark; Bouchier, Francis A.; vanDongen, Dale T.; Mack, Thomas Kimball; Cutler, Robert Paul; Ross, Michael P.
2013-08-01
Although technological advances provide new capabilities to increase the robustness of security systems, they also potentially introduce new vulnerabilities. New capability sometimes requires new performance requirements. This paper outlines an approach to establishing a key performance requirement for an emerging intrusion detection sensor: the sensored net. Throughout the security industry, the commonly adopted standard for maximum opening size through barriers is a requirement based on square inches-typically 96 square inches. Unlike standard rigid opening, the dimensions of a flexible aperture are not fixed, but variable and conformable. It is demonstrably simple for a human intruder to move through a 96-square-inch opening that is conformable to the human body. The longstanding 96-square-inch requirement itself, though firmly embedded in policy and best practice, lacks a documented empirical basis. This analysis concluded that the traditional 96-square-inch standard for openings is insufficient for flexible openings that are conformable to the human body. Instead, a circumference standard is recommended for these newer types of sensored barriers. The recommended maximum circumference for a flexible opening should be no more than 26 inches, as measured on the inside of the netting material.
Riccardo Adami; Diego Noja; Cecilia Ortoleva
2015-07-17
We investigate the asymptotic stability of standing waves for a model of Schr\\"odinger equation with spatially concentrated nonlinearity in space dimension three. The nonlinearity studied is a power nonlinearity concentrated at the point $x=0$ obtained considering a contact (or $\\delta$) interaction with strength $\\alpha$, and letting the strength $\\alpha$ depend on the wavefunction in a prescribed way. For power nonlinearities in the range $(\\frac{1}{\\sqrt 2},1)$ there exist orbitally stable standing waves $\\Phi_\\omega$, and the linearization around them admits two imaginary eigenvalues which in principle could correspond to non decaying states, so preventing asymptotic relaxation towards an equilibrium orbit. Without using the Fermi Golden Rule we prove that, in the range $(\\frac{1}{\\sqrt 2},\\sigma^*)$ for a certain $\\sigma^* \\in (\\frac{1}{\\sqrt{2}}, \\frac{\\sqrt{3} +1}{2 \\sqrt{2}}]$, the dynamics near the orbit of a standing wave asymptotically relaxes towards a standing state. Contrarily to the main results in the field, the admitted nonlinearity is $L^2$-subcritical.
Ding, Chris
) and reduces computational cost. In most applications, dimension reduction is carried out as a preprocessingAdaptive dimension reduction for clustering high dimensional data Chris Ding a , Xiaofeng He in local minimum. Many initialization methods were proposed to tackle this problem , but with only limited
On Effective Spacetime Dimension in the Ho?ava-Lifshitz Gravity
G. Alencar; V. B. Bezerra; M. S. Cunha; C. R. Muniz
2015-05-22
In this manuscript we explicitly compute the effective dimension of spacetime in some backgrounds of Ho\\v{r}ava-Lifshitz (H-L) gravity. For all the cases considered, the results are compatible with a dimensional reduction of the spacetime to $d+1=2$, at high energies (ultraviolet limit), which is confirmed by other quantum gravity approaches, as well as to $d+1=4$, at low energies (infrared limit). This is obtained by computing the free energy of massless scalar and gauge fields. We find that the only effect of the background is to change the proportionality constant between the internal energy and temperature. Firstly, we consider both the non-perturbative and perturbative models involving the matter action, without gravitational sources but with manifest time and space symmetry breaking, in order to calculate modifications in the Stephan-Boltzmann law. When gravity is taken into account, we assume a scenario in which there is a spherical source with mass $M$ and radius $R$ in thermal equilibrium with radiation, and consider the static and spherically symmetric solution of the H-L theory found by Kehagias-Sfetsos (K-S), in the weak and strong field approximations. As byproducts, for the weak field regime, we used the current uncertainty of the solar radiance measurements to establish a constraint on the $\\omega$ free parameter of the K-S solution. We also calculate the corrections, due to gravity, to the recently predicted attractive force that black bodies exert on nearby neutral atoms and molecules.
Quantum Field as a quantum cellular automaton: the Dirac free evolution in one dimension
Alessandro Bisio; Giacomo Mauro D'Ariano; Alessandro Tosini
2015-02-11
We present a quantum cellular automaton model in one space-dimension which has the Dirac equation as emergent. This model, a discrete-time and causal unitary evolution of a lattice of quantum systems, is derived from the assumptions of homogeneity, parity and time-reversal invariance. The comparison between the automaton and the Dirac evolutions is rigorously set as a discrimination problem between unitary channels. We derive an exact lower bound for the probability of error in the discrimination as an explicit function of the mass, the number and the momentum of the particles, and the duration of the evolution. Computing this bound with experimentally achievable values, we see that in that regime the QCA model cannot be discriminated from the usual Dirac evolution. Finally, we show that the evolution of one-particle states with narrow-band in momentum can be effi- ciently simulated by a dispersive differential equation for any regime. This analysis allows for a comparison with the dynamics of wave-packets as it is described by the usual Dirac equation. This paper is a first step in exploring the idea that quantum field theory could be grounded on a more fundamental quantum cellular automaton model and that physical dynamics could emerge from quantum information processing. In this framework, the discretization is a central ingredient and not only a tool for performing non-perturbative calculation as in lattice gauge theory. The automaton model, endowed with a precise notion of local observables and a full probabilistic interpretation, could lead to a coherent unification of an hypothetical discrete Planck scale with the usual Fermi scale of high-energy physics.
Superconformal field theory in three dimensions: Correlation functions of conserved currents
Evgeny I. Buchbinder; Sergei M. Kuzenko; Igor B. Samsonov
2015-07-01
For N-extended superconformal field theories in three spacetime dimensions (3D), with N=1,2,3, we compute the two- and three-point correlation functions of the supercurrent and the flavour current multiplets. We demonstrate that supersymmetry imposes additional restrictions on the correlators of conserved currents as compared with the non-supersymmetric case studied by Osborn and Petkou in hep-th/9307010. It is shown that the three-point function of the supercurrent is determined by a single functional form consistent with the conservation equation and all the symmetry properties. Similarly, the three-point function of the flavour current multiplets is also determined by a single functional form in the N=1 and N=3 cases. The specific feature of the N=2 case is that two independent structures are allowed for the three-point function of flavour current multiplets, but only one of them contributes to the three-point function of the conserved currents contained in these multiplets. Since the supergravity and super-Yang-Mills Ward identities are expected to relate the coefficients of the two- and three-point functions under consideration, the results obtained for 3D superconformal field theory are analogous to those in 2D conformal field theory. In addition, we present a new supertwistor construction for compactified Minkowski superspace. It is suitable for developing superconformal field theory on 3D spacetimes other than Minkowski space, such as S^1 x S^2 and its universal covering space R x S^2.
Testing Minimal Universal Extra Dimensions Using Higgs Boson Searches at the LHC
Genevieve Belanger; Alexander Belyaev; Matthew Brown; Mitsuru Kakizaki; Alexander Pukhov
2012-12-13
Large Hadron Collider (LHC) searches for the SM Higgs boson provide a powerful limit on models involving Universal Extra Dimensions (UED) where the Higgs production is enhanced. We have evaluated all one-loop diagrams for Higgs production from gluon fusion and decay to two photons within "minimal" UED (mUED), independently confirming previous results, and we have evaluated enhancement factors for Higgs boson production and decay over the mUED parameter space. Using these we have derived limits on the parameter space, combining data from both ATLAS and CMS collaborations for the most recent 7 TeV and 8 TeV LHC data. We have performed a rigorous statistical combination of several Higgs boson search channels which is important because mUED signatures from the Higgs boson are not universally enhanced. We have found that 1/R 1000 GeV) around m_h = 118 GeV are left. The latter is likely to be excluded as more data becomes available whereas the region around 125 GeV is where the recently discovered Higgs-like particle was observed and therefore where the exclusion limit is weaker. It is worth stressing that mUED predicts an enhancement for all channels for Higgs production by gluon fusion and decay while the vector boson fusion process WW/ZZ -> h -> AA is generically suppressed and WW/ZZ -> h -> WW*/ZZ* is standard. Therefore, as more 8 TeV LHC data becomes available, the information on individual Higgs boson production and decay processes provided by the CMS and ATLAS experiments can be effectively used to favour mUED or exclude it further.
Ferreira, Miguel Jorge Bernabé; Padmanabhan, Pramod; Sobrinho, Paulo Teôtonio
2015-01-01
State sum models can be used to obtain partition functions of physical systems in various dimensions. Their construction proceeds by associating local tensors or weights to different parts of a closed triangulated manifold. One such approach is the Kuperberg's algorithm for finding 3-manifold invariants. In terms of physics an analogous construction results in the partition functions of three dimensional lattice gauge theories based on involutory Hopf algebras $\\mathcal{A}$. For the familiar case of group algebras we obtain the partition functions of lattice gauge theories. Here we extend this construction to one with gauge and matter fields in two and three dimensions. The additional ingredients are the matter fields located on the vertices which are acted upon by the gauge fields living on the edges. The matter fields correspond to Potts spin configurations. They can be described by a vector space, carrying the representation of the gauge fields, with an inner product. Performing this construction on a tria...
Galuzio, P. P.; Lopes, S. R.; Viana, R. L. [Departamento de Fisica, Universidade Federal do Parana, Caixa Postal 19044, 81531-990 Curitiba, Parana (Brazil)
2011-11-15
Certain high-dimensional dynamical systems present two or more attractors characterized by different energy branches. For some parameter values the dynamics oscillates between these two branches in a seemingly random fashion, a phenomenon called two-state on-off intermittency. In this work we show that the dynamical mechanism underlying this intermittency involves the severe breakdown of hyperbolicity of the attractors through a mechanism known as unstable dimension variability. We characterize the parametric evolution of this variability using statistical properties of the finite-time Lyapunov exponents. As a model system that exhibits this behavior we consider periodically forced and damped drift waves. In this spatiotemporal example there is a low-dimensional chaotic attractor that is created by an interior crisis, already presenting unstable dimension variability.
Lundh, Magdalena; Zass, Katrin; Wilhelms, Claudius; Vajen, Klaus; Jordan, Ulrike
2010-07-15
To increase the fractional energy savings achieved with solar thermal combisystems the store volume may be increased. Installation of large stores in single-family houses is, however, often limited by space constraints. In this article the influence of the store dimensions, as well as internal and external auxiliary volume configurations, are investigated for large solar water stores by annual dynamic TRNSYS simulations. The results show that store sizes up to 4 m{sup 3} may be used in solar heating systems with 30 m{sup 2} collector area. It is further shown that well-insulated stores are rather insensitive to the geometry. Stores deviating from the conventional dimensions still yield high fractional energy savings. Furthermore, the simulations show that the performance of an internal auxiliary volume configuration in most cases exceeds that of a solution with an external auxiliary unit. The practical limitations of very thin auxiliary volumes must, however, be further investigated. (author)
Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in $2+1$ dimensions
P. G. Estévez; C. Sardón
2015-06-24
We present two hierarchies of partial differential equations in $2+1$ dimensions. Since there exist reciprocal transformations that connect these hierarchies to the Calogero-Bogoyavlenski-Schiff equation and its modified version, we can prove that one of the hierarchies can be considered as a modified version of the other. The connection between them can be achieved by means of a combination of reciprocal and Miura transformations.
RG flows from $(1,0)$ 6D SCFTs to $N=1$ SCFTs in four and three dimensions
Karndumri, Parinya
2015-01-01
We study $AdS_5\\times \\Sigma_2$ and $AdS_4\\times \\Sigma_3$ solutions of $N=2$, $SO(4)$ gauged supergravity in seven dimensions with $\\Sigma_{2,3}$ being $S^{2,3}$ or $H^{2,3}$. The $SO(4)$ gauged supergravity is obtained from coupling three vector multiplets to the pure $N=2$, $SU(2)$ gauged supergravity. With a topological mass term for the 3-form field, the $SO(4)\\sim SU(2)\\times SU(2)$ gauged supergravity admits two supersymmetric $AdS_7$ critical points, with $SO(4)$ and $SO(3)$ symmetries, provided that the two gauge couplings for the two $SU(2)$'s are different. These solutions correspond to $N=(1,0)$ superconformal field theories (SCFTs) in six dimensions. In the case of $\\Sigma_2$, we find a class of $AdS_5\\times S^2$ and $AdS_5\\times H^2$ solutions preserving eight supercharges and $SO(2)\\times SO(2)$ or $SO(2)$ symmetries. These should correspond to some $N=1$ four-dimensional SCFTs. We also give RG flow solutions from the $N=(1,0)$ SCFT in six dimensions to these four-dimensional fixed points inclu...
Liu, Kuan-Hsien; Chou, Wu-Ching, E-mail: tcchang3708@gmail.com, E-mail: wuchingchou@mail.nctu.edu.tw [Department of Electrophysics, National Chiao Tung University, Hsin-chu 300, Taiwan (China); Chang, Ting-Chang, E-mail: tcchang3708@gmail.com, E-mail: wuchingchou@mail.nctu.edu.tw [Department of Physics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan (China); Advanced Optoelectronics Technology Center, National Cheng Kung University, Taiwan (China); Chen, Hua-Mao; Tai, Ya-Hsiang [Department of Photonics and Institute of Electro-Optical Engineering, National Chiao Tung University, Hsin-chu 300, Taiwan (China); Tsai, Ming-Yen; Hung, Pei-Hua; Chu, Ann-Kuo [Department of Photonics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan (China); Wu, Ming-Siou; Hung, Yi-Syuan [Department of Electronics Engineering, National Chiao Tung University, Hsin-Chu 300, Taiwan (China); Hsieh, Tien-Yu [Department of Physics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan (China); Yeh, Bo-Liang [Advanced Display Technology Research Center, AU Optronics, No.1, Li-Hsin Rd. 2, Hsinchu Science Park, Hsin-Chu 30078, Taiwan (China)
2014-10-21
This paper investigates abnormal dimension-dependent thermal instability in amorphous indium-gallium-zinc-oxide (a-IGZO) thin-film transistors. Device dimension should theoretically have no effects on threshold voltage, except for in short channel devices. Unlike short channel drain-induced source barrier lowering effect, threshold voltage increases with increasing drain voltage. Furthermore, for devices with either a relatively large channel width or a short channel length, the output drain current decreases instead of saturating with an increase in drain voltage. Moreover, the wider the channel and the shorter the channel length, the larger the threshold voltage and output on-state current degradation that is observed. Because of the surrounding oxide and other thermal insulating material and the low thermal conductivity of the IGZO layer, the self-heating effect will be pronounced in wider/shorter channel length devices and those with a larger operating drain bias. To further clarify the physical mechanism, fast I{sub D}-V{sub G} and modulated peak/base pulse time I{sub D}-V{sub D} measurements are utilized to demonstrate the self-heating induced anomalous dimension-dependent threshold voltage variation and on-state current degradation.
A non-linear dimension reduction methodology for generating data-driven stochastic input models
Ganapathysubramanian, Baskar; Zabaras, Nicholas
2008-06-20
Stochastic analysis of random heterogeneous media (polycrystalline materials, porous media, functionally graded materials) provides information of significance only if realistic input models of the topology and property variations are used. This paper proposes a framework to construct such input stochastic models for the topology and thermal diffusivity variations in heterogeneous media using a data-driven strategy. Given a set of microstructure realizations (input samples) generated from given statistical information about the medium topology, the framework constructs a reduced-order stochastic representation of the thermal diffusivity. This problem of constructing a low-dimensional stochastic representation of property variations is analogous to the problem of manifold learning and parametric fitting of hyper-surfaces encountered in image processing and psychology. Denote by M the set of microstructures that satisfy the given experimental statistics. A non-linear dimension reduction strategy is utilized to map M to a low-dimensional region, A. We first show that M is a compact manifold embedded in a high-dimensional input space R{sup n}. An isometric mapping F from M to a low-dimensional, compact, connected set A is contained in R{sup d}(d<
Predicting Pattern Tooling and Casting Dimensions for Investment Casting, Phase III
Sabau, Adrian S
2008-04-01
Efforts during Phase III focused mainly on the shell-alloy systems. A high melting point alloy, 17-4PH stainless steel, was considered. The experimental part of the program was conducted at ORNL and commercial foundries, where wax patterns were injected, molds were invested, and alloys were poured. Shell molds made of fused-silica and alumino-silicates were considered. A literature review was conducted on thermophysical and thermomechanical properties alumino-silicates. Material property data, which were not available from material suppliers, was obtained. For all the properties of 17-4PH stainless steel, the experimental data available in the literature did not cover the entire temperature range necessary for process simulation. Thus, some material properties were evaluated using ProCAST, based on CompuTherm database. A comparison between the predicted material property data and measured property data was made. It was found that most material properties were accurately predicted only over several temperature ranges. No experimental data for plastic modulus were found. Thus, several assumptions were made and ProCAST recommendations were followed in order to obtain a complete set of mechanical property data at high temperatures. Thermal expansion measurements for the 17-4PH alloy were conducted during heating and cooling. As a function of temperature, the thermal expansion for both the alloy and shell mold materials showed different evolution on heating and cooling. Numerical simulations were performed using ProCAST for the investment casting of 17-4PH stainless steel parts in fused silica molds using the thermal expansion obtained on heating and another one with thermal expansion obtained on cooling. Since the fused silica shells had the lowest thermal expansion properties in the industry, the dewaxing phase, including the coupling between wax-shell systems, was neglected. The shell mold was considered to be a pure elastic material. The alloy dimensions were obtained from numerical simulations. For 17-4PH stainless steel parts, the alloy shrinkage factors were over-predicted, as compared with experimental data. Additional R&D focus was placed on obtaining material property data for filled waxes, waxes that are common in the industry. For the first time in the investment casting industry, the thermo-mechanical properties of unfilled and filled waxes were measured. Test specimens of three waxes were injected at commercial foundries. Rheometry measurement of filled waxes was conducted at ORNL. The analysis of the rheometry data to obtain viscoelastic properties was not completed due to the reduction in the budget of the project (approximately 50% funds were received).
Deta, U. A.; Suparmi,; Cari,; Husein, A. S.; Yuliani, H.; Khaled, I. K. A.; Luqman, H.; Supriyanto
2014-09-30
The Energy Spectra and Wave Function of Schrodinger equation in D-Dimensions for trigonometric Rosen-Morse potential were investigated analytically using Nikiforov-Uvarov method. This potential captures the essential traits of the quark-gluon dynamics of Quantum Chromodynamics. The approximate energy spectra are given in the close form and the corresponding approximate wave function for arbitrary l-state (l ? 0) in D-dimensions are formulated in the form of differential polynomials. The wave function of this potential unnormalizable for general case. The wave function of this potential unnormalizable for general case. The existence of extra dimensions (centrifugal factor) and this potential increase the energy spectra of system.
Taylor, Frank E.
A search for nonresonant new phenomena, originating from either contact interactions or large extra spatial dimensions, has been carried out using events with two isolated electrons or muons. These events, produced at the ...
Costes, Sylvain Vincent
1994-01-01
This study concerns with the development of a simple three-dimensional technique to determine the velocity of fluid by tracing the motion of seeded particles in a flow in three-dimensions. A correction for light refraction ...
Apyan, Aram
A search is presented for quark contact interactions and extra spatial dimensions in proton–proton collisions at ?s = 8 TeV using dijet angular distributions. The search is based on a data set corresponding to an integrated ...
Apyan, Aram
Results are presented from a search for particle dark matter (DM), extra dimensions, and unparticles using events containing a jet and an imbalance in transverse momentum. The data were collected by the CMS detector in ...
Broader source: Energy.gov [DOE]
Large-dimension, high-ZT BiTe and Pb-based nanocomposites produced with a low-cost scalable process were used for development and testing of TE module prototypes, and demonstration of a waste heat recovery system
Alberto Escalante; J. Manuel-Cabrera
2015-06-23
A detailed Faddeev-Jackiw quantization of an Abelian and non-Abelian exotic action for gravity in three dimensions is performed. We obtain for the theories under study the constraints, the gauge transformations, the generalized Faddeev-Jackiw brackets and we perform the counting of physical degrees of freedom. In addition, we compare our results with those found in the literature where the canonical analysis is developed, in particular, we show that both the generalized Faddeev-Jackiw brackets and Dirac's brackets coincide to each other. Finally we discuss some remarks and prospects.
A. G. Beda; A. S. Gerasimov
2007-06-18
The thermal heating of aligned nuclear targets of HIO_3, LiIO_3 ans Sb target materials under neutron irradiation at JSNS is considered. It is shown that presently the targets of large volumes (several tens of cm^3) can be used in experiment. The optimal target dimensions are recommended for investigation with resonance neutrons. The use of proposed aligned targets at the new neutron spallation source JSNS (Japan) will make p[ossible to discover TRIV or decrease the present limit on the intensity of parity conserving time violating interaction by two-three order of magnitude.
Grin', E. A.; Bochkarev, V. I.
2013-01-15
An approach for estimating the permissible dimensions of technological defects in butt welded joints in category III and IV pipelines is described. The allowable size of a welding defect is determined from the condition of compliance with the specifications on strength for a reference cross section (damaged joint) of the pipeline taking into account its weakening by a given defect.With regard to the fairly widespread discovery of technological defects in butt welded joints during diagnostics of auxiliary pipelines for thermal electric power plants, the proposed approach can be used in practice by repair and consulting organizations.
Alberto A. Garcia Diaz
2014-12-17
Under the hydrodynamic equilibrium Buchdahl's conditions on the behavior of the density and the pressure, for regular fluid static circularly symmetric star in (2 + 1) dimensions in the presence of a cosmological constant, is established that there are no bounds from below on the pressure and also on the mass, except for their positiveness. The metric for a constant density distribution is derived and its matching with the external static solution with a negative cosmological constant is accomplished. Some mistakes of previous works on the topic are pointed out.
A. Chakrabarti
1999-02-08
A particularly simple class of nonselfdual solutions are obtained for gauge fields in Schwarzschild and deSitter backgrounds. For Lorentz signature these have finite energy and finite action for Euclidean signature. In each case one obtains either real or a pair of complex conjugate solutions. The actions are easily computed for any dimension d. Numerical values are given for d= 4,6,7,8,9,10. It is explained why d=5 is a very special case. Possible continuations and generalizations of the results obtained are indicated. A particular solution for AdS_4 background is presented in the Appendix.
V. V. Borzov; E. V. Damaskinsky
2015-03-27
In the interesting paper G. Honnouvo and K. Thirulogasanthar [J. Math. Phys. {\\bf 55} , 093511 (2014)] the authors obtained the necessary and sufficient conditions under which the oscillator algebra connected with orthogonal polynomials on real line is finite-dimensional (and in this case the dimension of the algebra is always equal four). In the cited article, only the case when polynomials are orthogonal with respect to a symmetric measure on the real axis was considered. Unfortunately, the sufficient condition from this paper is incomplete. Here we clarify the sufficient part of the corresponding theorem from that paper and extend the results to the case when measure is not symmetric.
Fuzzy Throttle And Brake Control For Platoons Of Smart Cars
Kim, H.; Dickerson, J.; Kosko, B.
1995-01-01
for Platoons of Smart Cars,” in Fuzzy Sets, Neural Networks,The hardware on the test car had limited memory and usedclosing rate between the cars. The spike at 15 seconds shows
Why Brake-By-Wire (BBW) ? Advantages of BBW
Yao, Bin
Central Bearing Planetary Gear Bearing Planetary Gear Stator Rotor Bearing Motor Revolver Revolver Bearing Force Sensor Cap Nut (Carrier) Spindle Planetary Rollers Internal Gear Sun Gear Pressure Pin Holder Pads Planetary Gear Objective Development of a Reference Model to Interrogate Dynamic Behaviors
Modeling of air brakes for onboard diagnostics of heavy trucks
Kankanala, Penchala N
2000-01-01
Accidents involving commercial vehicles have disastrous consequences; most of the times they result in human fatalities, environmental damage, traffic congestion leading to fuel wastage and associated productivity losses. Moreover, with the rapid...
Brake System Analysis, Reliability Testing And Control Using Bench Experiments
Xu, Z.; Yang, B.
1997-01-01
Hydraulic Module The function of AHM is to provide an input force to vacuumVacuum pump failure' a) complete loss of vaczum b) partial loss 2) Auxiliary hydraulichydraulic pump for actuator Software failure due to wrong inputs leading to controller failure Reduction in effective vacuum
ORNL/Pub40701 Heavy and Overweight Vehicle Brake
of Energy (DOE) Information Bridge. Web site http://www.osti.gov/bridge Reports produced before January 1 are available to DOE employees, DOE contractors, Energy Technology Data Exchange (ETDE) representatives specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise, does
Daimler's SuperTruck Program; 50% Brake Thermal Efficiency
Broader source: Energy.gov [DOE]
Presents highlights of engine and vehicle advances made, and progress towards achieving aggressive goals
Compression Braking for Longitudinal Control of Commercial Heavy Vehicles
Moklegaard, Lasse; Druzhinina, Maria; Stefanopoulou, Anna G.
2001-01-01
i g i t a l Simulation of Turbocharged Diesel Engines UnderN . 1984. Dynamic Turbocharged Diesel Engine Simulator forMoskwa. J. J. 1995. Turbocharged Diesel Engine Modeling for
K. Michael Salerno; Mark O. Robbins
2015-03-14
Molecular dynamics simulations with varying damping are used to examine the effects of inertia and spatial dimension on sheared disordered solids in the athermal, quasistatic limit. In all cases the distribution of avalanche sizes follows a power law over at least three orders of magnitude in dissipated energy or stress drop. Scaling exponents are determined using finite-size scaling for systems with thousands to millions of particles. Three distinct universality classes are identified corresponding to overdamped and underdamped limits, as well as a crossover damping that separates the two regimes. For each universality class, the exponent describing the avalanche distributions is the same in two and three dimensions. The spatial extent of plastic damage is proportional to the energy dissipated in an avalanche. Both rise much more rapidly with system size in the underdamped limit where inertia is important. Inertia also lowers the mean energy of configurations sampled by the system and leads to an excess of large events like that seen in earthquake distributions for individual faults. The distribution of stress values during shear narrows to zero with increasing system size and may provide useful information about the size of elemental events in experimental systems. For overdamped and crossover systems the stress variation scales inversely with the square root of the system size. For underdamped systems the variation is determined by the size of the largest events.
Chair, Noureddine
2014-02-15
We have recently developed methods for obtaining exact two-point resistance of the complete graph minus N edges. We use these methods to obtain closed formulas of certain trigonometrical sums that arise in connection with one-dimensional lattice, in proving Scott’s conjecture on permanent of Cauchy matrix, and in the perturbative chiral Potts model. The generalized trigonometrical sums of the chiral Potts model are shown to satisfy recursion formulas that are transparent and direct, and differ from those of Gervois and Mehta. By making a change of variables in these recursion formulas, the dimension of the space of conformal blocks of SU(2) and SO(3) WZW models may be computed recursively. Our methods are then extended to compute the corner-to-corner resistance, and the Kirchhoff index of the first non-trivial two-dimensional resistor network, 2×N. Finally, we obtain new closed formulas for variant of trigonometrical sums, some of which appear in connection with number theory. -- Highlights: • Alternative derivation of certain trigonometrical sums of the chiral Potts model are given. • Generalization of these trigonometrical sums satisfy recursion formulas. • The dimension of the space of conformal blocks may be computed from these recursions. • Exact corner-to-corner resistance, the Kirchhoff index of 2×N are given.
Twisted compactification of N=2 5D SCFTs to three and two dimensions from F(4) gauged supergravity
Karndumri, Parinya
2015-01-01
We study supersymmetric $AdS_4\\times \\Sigma_2$ and $AdS_3\\times \\Sigma_3$ solutions in half-maximal gauged supergravity in six dimensions with $SU(2)_R\\times SU(2)$ gauge group. The gauged supergravity is obtained by coupling three vector multiplets to the pure $F(4)$ gauged supergravity. The $SU(2)_R$ R-symmetry together with the $SO(3)\\sim SU(2)$ symmetry of the vector multiplets are gauged. The resulting gauged supergravity admits supersymmetric $AdS_6$ critical points with $SO(4)\\sim SU(2)\\times SU(2)$ and $SO(3)\\sim SU(2)_{\\textrm{diag}}$ symmetries. The former corresponds to five-dimensional $N=2$ superconformal field theories (SCFTs) with $E_1\\sim SU(2)$ symmetry. We find new classes of supersymmetric $AdS_4\\times \\Sigma_2$ and $AdS_3\\times \\Sigma_3$ solutions with $\\Sigma_{2,3}$ being $S^{2,3}$ and $H^{2,3}$. These solutions describe SCFTs in three and two dimensions obtained from twisted compactifications of the aforementioned five-dimensional SCFTs with different numbers of unbroken supersymmetry an...
Garcia, E. V.; Stassun, Keivan G.; Pavlovski, K.; Hensberge, H.; Chew, Y. Gómez Maqueo; Claret, A.
2014-09-01
We determine the absolute dimensions of the eclipsing binary V578 Mon, a detached system of two early B-type stars (B0V + B1V, P = 2.40848 days) in the star-forming region NGC 2244 of the Rosette Nebula. From the light curve analysis of 40 yr of photometry and the analysis of HERMES spectra, we find radii of 5.41 ± 0.04 R{sub ?} and 4.29 ± 0.05 R{sub ?}, and temperatures of 30,000 ± 500 K and 25,750 ± 435 K, respectively. We find that our disentangled component spectra for V578 Mon agree well with previous spectral disentangling from the literature. We also reconfirm the previous spectroscopic orbit of V578 Mon finding that masses of 14.54 ± 0.08 M{sub ?} and 10.29 ± 0.06 M{sub ?} are fully compatible with the new analysis. We compare the absolute dimensions to the rotating models of the Geneva and Utrecht groups and the models of the Granada group. We find that all three sets of models marginally reproduce the absolute dimensions of both stars with a common age within the uncertainty for gravity-effective temperature isochrones. However, there are some apparent age discrepancies for the corresponding mass-radius isochrones. Models with larger convective overshoot, >0.35, worked best. Combined with our previously determined apsidal motion of 0.07089{sub ?0.00013}{sup +0.00021} deg cycle{sup –1}, we compute the internal structure constants (tidal Love number) for the Newtonian and general relativistic contribution to the apsidal motion as log k {sub 2} = –1.975 ± 0.017 and log k {sub 2} = –3.412 ± 0.018, respectively. We find the relativistic contribution to the apsidal motion to be small, <4%. We find that the prediction of log k {sub 2,theo} = –2.005 ± 0.025 of the Granada models fully agrees with our observed log k {sub 2}.
Fabrizio Canfora; Alex Giacomini; Ricardo Troncoso
2007-11-16
Exact vacuum solutions with a nontrivial torsion for the Einstein-Gauss-Bonnet theory in five dimensions are constructed. We consider a class of static metrics whose spacelike section is a warped product of the real line with a nontrivial base manifold endowed with a fully antisymmetric torsion. It is shown requiring solutions of this sort to exist, fixes the Gauss-Bonnet coupling such that the Lagrangian can be written as a Chern-Simons form. The metric describes black holes with an arbitrary, but fixed, base manifold. It is shown that requiring its ground state to possess unbroken supersymmetries, fixes the base manifold to be locally a parallelized three-sphere. The ground state turns out to be half-BPS, which could not be achieved in the absence of torsion in vacuum. The Killing spinors are explicitly found.
Guo, Y.; Parsons, T.; King, R.; Dykes, K.; Veers, P.
2015-06-09
This report summarizes the theory, verification, and validation of a new sizing tool for wind turbine drivetrain components, the Drivetrain Systems Engineering (DriveSE) tool. DriveSE calculates the dimensions and mass properties of the hub, main shaft, main bearing(s), gearbox, bedplate, transformer if up-tower, and yaw system. The level of fi¬ delity for each component varies depending on whether semiempirical parametric or physics-based models are used. The physics-based models have internal iteration schemes based on system constraints and design criteria. Every model is validated against available industry data or finite-element analysis. The verification and validation results show that the models reasonably capture primary drivers for the sizing and design of major drivetrain components.
Wellington da Cruz
2004-02-26
We obtain an explicit expression relating the writhing number, $W[C]$, of the quantum path, $C$, with any value of spin, $s$, of the particle which sweeps out that closed curve. We consider a fractal approach to the fractional spin particles and, in this way, we make clear a deeper connection between the Gauss-Bonnet theorem with the spin-statistics relation via the concept of Hausdorff dimension, $h$, associated to the fractal quantum curves of the particles: \\frac{h}{2+2s}=W[C]=\\frac{1}{4\\pi}\\oint_{C}d x_{\\alpha}\\oint_{C}d x_{\\beta} \\epsilon^{\\alpha\\beta\\gamma} \\frac{(x-y)_{\\gamma}}{|x-y|^3}.
Miguel Jorge Bernabé Ferreira; Juan Pablo Ibieta Jimenez; Pramod Padmanabhan; Paulo Teotonio-Sobrinho
2015-10-05
State sum constructions, such as Kuperberg's algorithm, give partition functions of physical systems, like lattice gauge theories, in various dimensions by associating local tensors or weights, to different parts of a closed triangulated manifold. Here we extend this construction by including matter fields to build partition functions in both two and three space-time dimensions. The matter fields introduces new weights to the vertices and they correspond to Potts spin configurations described by an $\\mathcal{A}$-module with an inner product. Performing this construction on a triangulated manifold with a boundary we obtain the transfer matrices which are decomposed into a product of local operators acting on vertices, links and plaquettes. The vertex and plaquette operators are similar to the ones appearing in the quantum double models (QDM) of Kitaev. The link operator couples the gauge and the matter fields, and it reduces to the usual interaction terms in known models such as $\\mathbb{Z}_2$ gauge theory with matter fields. The transfer matrices lead to Hamiltonians that are frustration-free and are exactly solvable. According to the choice of the initial input, that of the gauge group and a matter module, we obtain interesting models which have a new kind of ground state degeneracy that depends on the number of equivalence classes in the matter module under gauge action. Some of the models have confined flux excitations in the bulk which become deconfined at the surface. These edge modes are protected by an energy gap provided by the link operator. These properties also appear in "confined Walker-Wang" models which are 3D models having interesting surface states. Apart from the gauge excitations there are also excitations in the matter sector which are immobile and can be thought of as defects like in the Ising model. We only consider bosonic matter fields in this paper.
Miguel Jorge Bernabé Ferreira; Juan Pablo Ibieta Jimenez; Pramod Padmanabhan; Paulo Teôtonio Sobrinho
2015-09-07
State sum constructions, such as Kuperberg's algorithm, give partition functions of physical systems, like lattice gauge theories, in various dimensions by associating local tensors or weights, to different parts of a closed triangulated manifold. Here we extend this construction by including matter fields to build partition functions in both two and three space-time dimensions. The matter fields introduces new weights to the vertices and they correspond to Potts spin configurations described by an $\\mathcal{A}$-module with an inner product. Performing this construction on a triangulated manifold with a boundary we obtain the transfer matrices which are decomposed into a product of local operators acting on vertices, links and plaquettes. The vertex and plaquette operators are similar to the ones appearing in the quantum double models (QDM) of Kitaev. The link operator couples the gauge and the matter fields, and it reduces to the usual interaction terms in known models such as $\\mathbb{Z}_2$ gauge theory with matter fields. The transfer matrices lead to Hamiltonians that are frustration-free and are exactly solvable. According to the choice of the initial input, that of the gauge group and a matter module, we obtain interesting models which have a new kind of ground state degeneracy that depends on the number of equivalence classes in the matter module under gauge action. Some of the models have confined flux excitations in the bulk which become deconfined at the surface. These edge modes are protected by an energy gap provided by the link operator. These properties also appear in "confined Walker-Wang" models which are 3D models having interesting surface states. Apart from the gauge excitations there are also excitations in the matter sector which are immobile and can be thought of as defects like in the Ising model. We only consider bosonic matter fields in this paper.
Carrera, Edgar Fernando; /Florida State U.
2008-12-01
This dissertation presents a search for large extra dimensions in the single photon plus missing transverse energy final states. We use a data sample of approximately 2.7 fb{sup -1} of p{bar p} collisions at {radical}s = 1.96 TeV (recorded with the D{sup -} detector) to investigate direct Kaluza Klein graviton production and set limits, at the 95% C.L., on the fundamental mass scale M{sub D} from 970 GeV to 816 GeV for two to eight extra dimensions.
Human Dimensions Tools and Resources1 Prepared by: U.S. Geological Survey, Colorado State...........................................................................................Page 20 1 For questions or more information about this tools and resources list, please contact Tara Teel.census.gov/acs/www/guidance_for_data_users/handbooks/ Social Science Data Analysis Network provides print publications and online tools and resources to aid
Superconductor-insulator transition in two dimensions N. Markovic´,* C. Christiansen, A. M. Mack, W, Minnesota 55455 Received 8 March 1999 The superconductor-insulator transition of ultrathin films of bismuth of the superconductor-insulator transition, as well as the percolation models which predict finite dissipation at T 0. S
Lechowicz, Martin J.
Lechowicz, M.J., 2001. Phenology. In the Encyclopedia of Global Environmental Change, Volume 2. The Earth System:biological and ecological dimensions of global environmental change. Wiley, London. Phenology Martin J. Lechowicz Department of Biology McGill University Montréal, Québec, CANADA Phenology
Lee, EokKyun
Lyapunov instability of rigid diatomic molecules in three dimensions Young-Han Shin, Dong-Chul Ihm June 2001; published 24 September 2001 We study the Lyapunov instability of a three-dimensional fluid and angular variables for the configura- tional space variables. The spectra of Lyapunov exponents
Mailhes, Corinne
2013-01-01
for Aeronautical Communications in North Atlantic Corridor. (2013) In: 19th Ka and Broadband Communications Dimensioning for Aeronautical Communications in North Atlantic Corridor Alain Pirovano, Fabien Garcia ENAC, the specific structure of aeronautical traffic must be taken into account. NAT (North Atlantic Tracks
Thomas Durt
2006-04-17
We study different techniques that allow us to gain complete knowledge about an unknown quantum state, e.g. to perform full tomography of this state. We focus on two apparently simple cases, full tomography of one and two qubit systems. We analyze and compare those techniques according to two figures of merit. Our first criterion is the minimisation of the redundancy of the data acquired during the tomographic process. In the case of two-qubits tomography, we also analyze this process from the point of view of factorisability, so to say we analyze the possibility to realise the tomographic process through local operations and classical communications between local observers. This brings us naturally to study the possibility to factorize the (discrete) Wigner distribution of a composite system into the product of local Wigner distributions. The discrete Heisenberg-Weyl group is an essential ingredient of our approach. Possible extensions of our results to higher dimensions are discussed in the last section and in the conclusions.
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Mkhitaryan, V. V.; Dobrovitski, V. V.
2015-08-24
The hyperfine coupling between the spin of a charge carrier and the nuclear spin bath is a predominant channel for the carrier spin relaxation in many organic semiconductors. We theoretically investigate the hyperfine-induced spin relaxation of a carrier performing a random walk on a d-dimensional regular lattice, in a transport regime typical for organic semiconductors. We show that in d=1 and 2, the time dependence of the space-integrated spin polarization P(t) is dominated by a superexponential decay, crossing over to a stretched-exponential tail at long times. The faster decay is attributed to multiple self-intersections (returns) of the random-walk trajectories, whichmore »occur more often in lower dimensions. We also show, analytically and numerically, that the returns lead to sensitivity of P(t) to external electric and magnetic fields, and this sensitivity strongly depends on dimensionality of the system (d=1 versus d=3). We investigate in detail the coordinate dependence of the time-integrated spin polarization ?(r), which can be probed in the spin-transport experiments with spin-polarized electrodes. We also demonstrate that, while ?(r) is essentially exponential, the effect of multiple self-intersections can be identified in transport measurements from the strong dependence of the spin-decay length on the external magnetic and electric fields.« less
Barrat, Alain
Directed polymer in random media in two dimensions: Numerical study of the aging dynamics A. Barrat dynamics of a directed polymer in random media, in 1 1 dimensions. Through temperature quench. INTRODUCTION The study of directed polymers in random media has trig- gered a lot of interest and of works
PRETEX (Halifax NS) #1 1054 1999 Mar 05 10:59:16
2010-02-12
Feb 16, 2007 ... Use Definition 4.5.4 to determine all values of ? for which {v, w} is linearly independent. 43. If v1 and v2 are vectors in a vector space V , and.
Siamak S. Gousheh; Soheila S. Mousavi; Leila Shahkarami
2014-02-17
We investigate the vacuum polarization and the Casimir energy of a Dirac field coupled to a scalar potential in one spatial dimension. Both of these effects have a common cause which is the distortion of the spectrum due to the coupling with the background field. Choosing the potential to be a symmetrical square-well, the problem becomes exactly solvable and we can find the whole spectrum of the system, analytically. We show that the total number of states and the total density remain unchanged as compared with the free case, as one expects. Furthermore, since the positive- and negative-energy eigenstates of the fermion are fermion-number conjugates of each other and there is no zero-energy bound state, the total density and the total number of negative and positive states remain unchanged, separately. Therefore, the vacuum polarization in this model is zero for any choice of the parameters of the potential. It is important to note that although the vacuum polarization is zero due to the symmetries of the model, the Casimir energy of the system is not zero in general. In the graph of the Casimir energy as a function of the depth of the well there is a maximum approximately when the bound energy levels change direction and move back towards their continuum of origin. The Casimir energy for a fixed value of the depth is a linear function of the width and is always positive. Moreover, the Casimir energy density (the energy density of all the negative-energy states) and the energy density of all the positive-energy states are exactly the mirror images of each other. Finally, computing the total energy of a valence fermion present in the lowest fermionic bound state, taking into account the Casimir energy, we find that the lowest bound state is almost always unstable for the scalar potential.
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Aad, G.
2014-12-11
Research is conducted for non-resonant new phenomena in dielectron and dimuon final states, originating from either contact interactions or large extra spatial dimensions. The LHC 2012 proton–proton collision dataset recorded by the ATLAS detector is used, corresponding to 20 fb–1 at ?s = 8 TeV. The dilepton invariant mass spectrum is a discriminating variable in both searches, with the contact interaction search additionally utilizing the dilepton forward-backward asymmetry. No significant deviations from the Standard Model expectation are observed. Lower limits are set on the ??qq contact interaction scale ? between 15.4 TeV and 26.3 TeV, at the 95% credibility level.more »For large extra spatial dimensions, lower limits are set on the string scale MS between 3.2 TeV to 5.0 TeV.« less
Aad, G.
2014-12-11
Research is conducted for non-resonant new phenomena in dielectron and dimuon final states, originating from either contact interactions or large extra spatial dimensions. The LHC 2012 proton–proton collision dataset recorded by the ATLAS detector is used, corresponding to 20 fb^{–1} at ?s = 8 TeV. The dilepton invariant mass spectrum is a discriminating variable in both searches, with the contact interaction search additionally utilizing the dilepton forward-backward asymmetry. No significant deviations from the Standard Model expectation are observed. Lower limits are set on the ??qq contact interaction scale ? between 15.4 TeV and 26.3 TeV, at the 95% credibility level. For large extra spatial dimensions, lower limits are set on the string scale MS between 3.2 TeV to 5.0 TeV.
Ye, Peng
2015-01-01
Topological quantum field theory (TQFT) plays a very important role in understanding topological phases of quantum matter. For example, Chern-Simons theory reveals the key mechanism of charge-flux attachment for fractional quantum hall effect (FQHE). It also completely describes all the essential topological data, e.g., fractionalized statistics, fractionalized charge of quasiparticles in FQHE sytems. Very recently, a new class of topological phases -- symmetry-protected topological (SPT) phases in interacting bosonic systems has been proposed based on the (extended) group cohomology theory. In two dimensions, it has been shown that bosonic SPT phases with Abelian symmetry can be well understood in terms of Chern-Simons theory. In this paper, we attempt to achieve a complete TQFT description for all bosonic SPT phases with Abelian group symmetry in three dimensions. The TQFT description reveals the key mechanism for three dimensional bosonic SPT phases in a simple and intuitive way.
Morin, Pedro
Trabajo Pr´actico 5 Ecuaciones en Derivadas Parciales (1) Consideremos la soluci´on fundamental de la ecuaci´on del calor en una dimensi´on dada por v(x, t) = 1 4kt e- x2 4kt , x R, t > 0. Demostrar soporte compacto se puede meter la derivada en la integral); (b) ut = kuxx para (x, t) R×(0
AVCEM: Advanced Vehicle Cost and Energy Use Model. Overview of AVCEM
Delucchi, Mark
2005-01-01
accounted separately), regenerative braking, battery thermalthere is no regenerative braking, and vehicle efficiency,iterative calculations. Regenerative braking is represented
AVCEM: Advanced-Vehicle Cost and Energy Use Model
Delucchi, Mark
2005-01-01
accounted separately), regenerative braking, battery thermalthere is no regenerative braking, and vehicle efficiency,iterative calculations. Regenerative braking is represented
Burke, Andy; Zhao, Hengbing
2010-01-01
capability and thus regenerative braking performancecapability and thus regenerative braking performanceaccept all the regenerative braking energy. This paper is
Martin Bureš
2015-05-29
We investigate the consequences of one extra compactified dimension for the energy spectrum of the non-relativistic hydrogen atom with a potential defined by Gauss' law, i.e. proportional to $1/|x|^2$ in non-compactified 4d space. The calculations were performed numerically by diagonalizing the Hamiltonian in two different sets of basis vectors. The energy levels and electron probability density are plotted as a function of the compactification radius. The occurrence of several physical effects is discussed and interpreted.
Bureš, Martin
2015-01-01
We investigate the consequences of one extra compactified dimension for the energy spectrum of the non-relativistic hydrogen atom with a potential defined by Gauss' law, i.e. proportional to $1/|x|^2$ in non-compactified 4d space. The calculations were performed numerically by diagonalizing the Hamiltonian in two different sets of basis vectors. The energy levels and electron probability density are plotted as a function of the compactification radius. The occurrence of several physical effects is discussed and interpreted.
Fact #693: September 19, 2011 Average Vehicle Footprint for Cars and Light Trucks
Broader source: Energy.gov [DOE]
A vehicle footprint is the area defined by the four points where the tires touch the ground. It is calculated as the product of the wheelbase and the average track width of the vehicle. The...
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Khachatryan, Vardan; et al.,
2015-06-01
A search is presented for quark contact interactions and extra spatial dimensions in proton-proton collisions at sqrt(s) = 8 TeV using dijet angular distributions. The search is based on a data set corresponding to an integrated luminosity of 19.7 inverse femtobarns collected by the CMS detector at the CERN LHC. Dijet angular distributions are found to be in agreement with the perturbative QCD predictions that include electroweak corrections. Limits on the contact interaction scale from a variety of models at next-to-leading order in QCD corrections are obtained. A benchmark model in which only left-handed quarks participate is excluded up tomore »a scale of 9.0 (11.7) TeV for destructive (constructive) interference at 95% confidence level. Lower limits between 5.9 and 8.4 TeV on the scale of virtual graviton exchange are extracted for the Arkani-Hamed--Dimopoulos--Dvali model of extra spatial dimensions.« less
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Khachatryan, Vardan; et al.,
2015-06-01
A search is presented for quark contact interactions and extra spatial dimensions in proton-proton collisions at sqrt(s) = 8 TeV using dijet angular distributions. The search is based on a data set corresponding to an integrated luminosity of 19.7 inverse femtobarns collected by the CMS detector at the CERN LHC. Dijet angular distributions are found to be in agreement with the perturbative QCD predictions that include electroweak corrections. Limits on the contact interaction scale from a variety of models at next-to-leading order in QCD corrections are obtained. A benchmark model in which only left-handed quarks participate is excluded up to a scale of 9.0 (11.7) TeV for destructive (constructive) interference at 95% confidence level. Lower limits between 5.9 and 8.4 TeV on the scale of virtual graviton exchange are extracted for the Arkani-Hamed--Dimopoulos--Dvali model of extra spatial dimensions.
Changala, P. Bryan
2014-01-14
The bending and torsional degrees of freedom in S{sub 1} acetylene, C{sub 2}H{sub 2}, are subject to strong vibrational resonances and rovibrational interactions, which create complex vibrational polyad structures even at low energy. As the internal energy approaches that of the barrier to cis-trans isomerization, these energy level patterns undergo further large-scale reorganization that cannot be satisfactorily treated by traditional models tied to local minima of the potential energy surface for nuclear motion. Experimental spectra in the region near the cis-trans transition state have revealed these complicated new patterns. In order to understand near-barrier spectroscopic observations and to predict the detailed effects of cis-trans isomerization on the rovibrational energy level structure, we have performed reduced dimension rovibrational variational calculations of the S{sub 1} state. In this paper, we present the methodological details, several of which require special care. Our calculation uses a high accuracy ab initio potential surface and a fully symmetrized extended complete nuclear permutation inversion group theoretical treatment of a multivalued internal coordinate system that is appropriate for large amplitude bending and torsional motions. We also discuss the details of the rovibrational basis functions and their symmetrization, as well as the use of a constrained reduced dimension rovibrational kinetic energy operator.
Khachatryan, Vardan
2015-05-29
Results are presented from a search for particle dark matter (DM), extra dimensions, and unparticles using events containing a jet and an imbalance in transverse momentum. The data were collected by the CMS detector in proton-proton collisions at the LHC and correspond to an integrated luminosity of 19.7 fb$^{-1}$ at a centre-of-mass energy of 8 TeV. The number of observed events is found to be consistent with the standard model prediction. Limits are placed on the DM-nucleon scattering cross section as a function of the DM particle mass for spin-dependent and spin-independent interactions. Limits are also placed on the scale parameter $M_\\mathrm{D}$ in the ADD model of large extra dimensions, and on the unparticle model parameter $\\Lambda_\\mathrm{U}$. The constraints on ADD models and unparticles are the most stringent limits in this channel and those on the DM-nucleon scattering cross section are an improvement over previous collider results.
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Khachatryan, Vardan [Yerevan Physics Institute (Armenia); et al.,
2015-05-01
Results are presented from a search for particle dark matter (DM), extra dimensions, and unparticles using events containing a jet and an imbalance in transverse momentum. The data were collected by the CMS detector in proton-proton collisions at the LHC and correspond to an integrated luminosity of 19.7 fb$^{-1}$ at a centre-of-mass energy of 8 TeV. The number of observed events is found to be consistent with the standard model prediction. Limits are placed on the DM-nucleon scattering cross section as a function of the DM particle mass for spin-dependent and spin-independent interactions. Limits are also placed on the scale parameter $M_\\mathrm{D}$ in the ADD model of large extra dimensions, and on the unparticle model parameter $\\Lambda_\\mathrm{U}$. The constraints on ADD models and unparticles are the most stringent limits in this channel and those on the DM-nucleon scattering cross section are an improvement over previous collider results.
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Khachatryan, Vardan
2015-05-29
Results are presented from a search for particle dark matter (DM), extra dimensions, and unparticles using events containing a jet and an imbalance in transverse momentum. The data were collected by the CMS detector in proton-proton collisions at the LHC and correspond to an integrated luminosity of 19.7 fb$^{-1}$ at a centre-of-mass energy of 8 TeV. The number of observed events is found to be consistent with the standard model prediction. Limits are placed on the DM-nucleon scattering cross section as a function of the DM particle mass for spin-dependent and spin-independent interactions. Limits are also placed on the scalemore »parameter $M_\\mathrm{D}$ in the ADD model of large extra dimensions, and on the unparticle model parameter $\\Lambda_\\mathrm{U}$. The constraints on ADD models and unparticles are the most stringent limits in this channel and those on the DM-nucleon scattering cross section are an improvement over previous collider results.« less
Robert P. C. de Marrais
2000-11-30
G. Moreno's abstract depiction of the Sedenions' normed zero-divisors, as homomorphic to the exceptional Lie group G2, is fleshed out by exploring further structures the A-D-E approach of Lie algebraic taxonomy keeps hidden. A breakdown of table equivalence among the half a trillion multiplication schemes the Sedenions allow is found; the 168 elements of PSL(2,7), defining the finite projective triangle on which the Octonions' 480 equivalent multiplication tables are frequently deployed, are shown to give the exact count of primitive unit zero-divisors in the Sedenions. (Composite zero-divisors, comprising all points of certain hyperplanes of up to 4 dimensions, are also determined.) The 168 are arranged in point-set quartets along the 42 Assessors (pairs of diagonals in planes spanned by pure imaginaries, each of which zero-divides only one such diagonal of any partner Assessor). These quartets are multiplicatively organized in systems of mutually zero-dividing trios of Assessors, a D4-suggestive 28 in number, obeying the 6-cycle crossover logic of trefoils or triple zigzags. 3 trefoils and 1 zigzag determine an octahedral vertex structure we call a box-kite -- seven of which serve to partition Sedenion space. By sequential execution of proof-driven production rules, a complete interconnected box-kite system, or Seinfeld production (German for field of being; American for 1990's television's Show About Nothing), can be unfolded from an arbitrary Octonion and any (save for two) of the Sedenions. Indications for extending the results to higher dimensions and different dynamic contexts are given in the final pages.