Lujan, Richard E. (Santa Fe, NM)
2001-01-01T23:59:59.000Z
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.
Commercial Motor Vehicle Brake Assessment Tools
Inspection · Performance-Based Brake Tester · Related Research #12;CMV Air Brake System http://auto.howstuffworks.com/auto-parts/brakes/brake- types/air-brake5.htm Accessed 14 Sep 2010 Illustration by Robert Curry, Rolf VanderZwaag in Practical Brake Research · CMVRTC research built on these enforcement tools Correlation Study Level-1 / PBBT
Combined hydraulic and regenerative braking system
Venkataperumal, Rama R. (Troy, MI); Mericle, Gerald E. (Mount Clemens, MI)
1981-06-02T23:59:59.000Z
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)
1982-01-12T23:59:59.000Z
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)
1981-12-15T23:59:59.000Z
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.
Contactless magnetic brake for automotive applications
Gay, Sebastien Emmanuel
2009-05-15T23:59:59.000Z
Road and rail vehicles and aircraft rely mainly or solely on friction brakes. These brakes pose several problems, especially in hybrid vehicles: significant wear, fading, complex and slow actuation, lack of fail-safe features, increased fuel...
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
Brake blending strategy for a hybrid vehicle
Boberg, Evan S. (Hazel Park, MI)
2000-12-05T23:59:59.000Z
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
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 DeliciousPlasmaP a g eWorks - As Prepared forChoiceNEG Micon A SInformation form ViewSpittalSvendborg Brakes Jump
Throttle And Brake Control Systems For Automatic Vehicle Following
Ioannou, P.; Xu, Z.
1994-01-01T23:59:59.000Z
and Brake Control Systems for Automatic Vehicle Following P.and Brake Control Systems for Automatic Vehicle Following *Transit Systems, Proceedings of 1977 Joint Automatic Control
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
2011-01-01T23:59:59.000Z
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 ...
Contactless magnetic brake for automotive applications
Gay, Sebastien Emmanuel
2009-05-15T23:59:59.000Z
CONTACTLESS 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...
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)
2009-02-10T23:59:59.000Z
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.
Constraining the Braking Indices of Magnetars
Gao, Z F; Wang, N; Yuan, J P; Peng, Q H; Du, Y J
2015-01-01T23:59:59.000Z
Due to the lack of long term pulsed emission in quiescence and the strong timing noise, it is impossible to directly measure the braking index $n$ of a magnetar. Based on the estimated ages of their potentially associated supernova remnants (SNRs), we estimate the values of $n$ of nine magnetars with SNRs, and find that they cluster in a range of $1\\sim$41. Six magnetars have smaller braking indices of $13$ for other three magnetars are attributed to the decay of external braking torque, which might be caused by magnetic field decay. We estimate the possible wind luminosities for the magnetars with $13$ within the updated magneto-thermal evolution models. We point out that there could be some connections between the magnetar's anti-glitch event and its braking index, and the magnitude of $n$ should be taken into account when explaining the event. Although the constrained range of the magnetars' braking indices is tentative, our method provides an effective way to constrain the magnetars' braking indices if th...
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)
1990-01-01T23:59:59.000Z
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.
1990-10-16T23:59:59.000Z
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.
A diagnostic system for air brakes in commercial vehicles
Coimbatore Subramanian, Shankar Ram
2007-09-17T23:59:59.000Z
This dissertation deals with the development of a model-based diagnostic system for air brake systems that are widely used in commercial vehicles, such as trucks, tractor-trailers, buses, etc. The performance of these brake ...
Electric vehicle regenerative antiskid braking and traction control system
Cikanek, S.R.
1995-09-12T23:59:59.000Z
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)
1995-01-01T23:59:59.000Z
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
Nonlinear analysis of time series of vibration data from a friction brake: SSA, PCA, and MFDFA
Nikolay K. Vitanov; Norbert P. Hoffmann; Boris Wernitz
2014-10-23T23:59:59.000Z
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.
A diagnostic system for air brakes in commercial vehicles
Coimbatore Subramanian, Shankar Ram
2007-09-17T23:59:59.000Z
]. It is appropriate to point out that, in an appraisal of the future needs of the trucking industry [16], the authors, who represent a broad spectrum of the trucking industry, call for the development of improved methods of brake inspections. 6 B. Objectives... States railway industry, air brake systems were initially introduced during the nineteenth century. Before the introduction of the air brake system, railway cars were retarded mainly by mechanical means (for example, by levers, chains and other linkages...
Design, Modeling And Control Of Steering And Braking For An Urban Electric Vehicle
Maciua, Dragos
1996-01-01T23:59:59.000Z
Design, Modeling and Control of Steering and Braking for anDesign, Modeling and Control of Steering and Braking for anDesign, Modeling and Control of Steering and Braking for an
Measurement and control of brake pedal feel quality in automobile manufacturing
Cerilles, Jeffrey T. (Jeffrey Thomas)
2005-01-01T23:59:59.000Z
Customer perception of brake pedal feel quality, as related to the perception of the brake pedal feeling soft or mushy, depends on both the customer's subjective judgment of quality and the actual build quality of the brake ...
Pneumatic brake control for precision stopping of heavy-duty vehicles
Bu, Fanping; Tan, Han-Shue
2007-01-01T23:59:59.000Z
desirable that the automatic brake control system uses thesystems,” IEEE Transactions on Automatic Control, vol. 41,enables automatic control of the pneumatic brake system and
A pressure control scheme for air brakes in commercial vehicles
Bowlin, Christopher Leland
2007-04-25T23:59:59.000Z
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...
Modeling of air brakes for onboard diagnostics of heavy trucks
Kankanala, Penchala N
2000-01-01T23:59:59.000Z
components in ensuring the safety of the vehicle on the road. In a recent National Traffic Safety Board's ( NTSB ) heavy truck inspection survey, it was found that the defects in brakes/brake adjustment account for an average 56 percent of the trucks being...
Multidisciplinary design optimization of an automotive magnetorheological brake design
Park, Edward
Multidisciplinary design optimization of an automotive magnetorheological brake design Edward J. Park, Luis Falca~o da Luz, Afzal Suleman * Department of Mechanical Engineering, University of Victoria to the elec- tromagnet. Key issues involved in the initial design of the automotive MR brake are presented
New Phase-coherent Measurements of Pulsar Braking Indices
Margaret A. Livingstone; Victoria M. Kaspi; Fotis P. Gavriil; Richard N. Manchester; E. V. Gotthelf; Lucien Kuiper
2007-02-07T23:59:59.000Z
Pulsar braking indices offer insight into the physics that underlies pulsar spin-down. Only five braking indices have been measured via phase-coherent timing; all measured values are less than 3, the value expected from magnetic dipole radiation. Here we present new measurements for three of the five pulsar braking indices, obtained with phase-coherent timing for PSRs J1846-0258 (n=2.65+/-0.01), B1509-58 (n=2.839+/-0.001) and B0540-69 (n=2.140+/-0.009). We discuss the implications of these results and possible physical explanations for them.
Adaptive Rollover Prevention for Automotive Vehicles with Differential Braking
Duffy, Ken
Adaptive Rollover Prevention for Automotive Vehicles with Differential Braking Selim Solmaz, switching, and tuning (MMST) paradigm [13, 14, 15] for preventing untripped rollover in automotive vehicles performance than its fixed robust counterpart. Keywords: Automotive control; Multiple models; Parameter
Regenerative braking on bicycles to power LED safety flashers
Collier, Ian M
2005-01-01T23:59:59.000Z
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, ...
Oleg N. Kirillov
2007-08-22T23:59:59.000Z
We consider a gyroscopic system under the action of small dissipative and non-conservative positional forces, which has its origin in the models of rotating bodies of revolution being in frictional contact. The spectrum of the unperturbed gyroscopic system forms a "spectral mesh" in the plane "frequency -gyroscopic parameter" with double semi-simple purely imaginary eigenvalues at zero value of the gyroscopic parameter. It is shown that dissipative forces lead to the splitting of the semi-simple eigenvalue with the creation of the so-called "bubble of instability" - a ring in the three-dimensional space of the gyroscopic parameter and real and imaginary parts of eigenvalues, which corresponds to complex eigenvalues. In case of full dissipation with a positive-definite damping matrix the eigenvalues of the ring have negative real parts making the bubble a latent source of instability because it can "emerge" to the region of eigenvalues with positive real parts due to action of both indefinite damping and non-conservative positional forces. In the paper, the instability mechanism is analytically described with the use of the perturbation theory of multiple eigenvalues. As an example stability of a rotating circular string constrained by a stationary load system is studied in detail. The theory developed seems to give a first clear explanation of the mechanism of self-excited vibrations in the rotating structures in frictional contact, that is responsible for such well-known phenomena of acoustics of friction as the squealing disc brake and the singing wine glass.
Regenerative braking device with rotationally mounted energy storage means
Hoppie, Lyle O. (Birmingham, MI)
1982-03-16T23:59:59.000Z
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.
Fuzzy logic electric vehicle regenerative antiskid braking and traction control system
Cikanek, S.R.
1994-10-25T23:59:59.000Z
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)
1994-01-01T23:59:59.000Z
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.
Evaluation of driver braking performance to an unexpected object in the roadway
Picha, Dale Louis
1994-01-01T23:59:59.000Z
components, specifically whether the equation accurately reflects driver and vehicle behaviors during a braking maneuver. This research evaluated the two components of the SSD equation. Four field studies were conducted that evaluated driver braking...
Evaluation of driver braking performance to an unexpected object in the roadway
Picha, Dale Louis
1994-01-01T23:59:59.000Z
components, specifically whether the equation accurately reflects driver and vehicle behaviors during a braking maneuver. This research evaluated the two components of the SSD equation. Four field studies were conducted that evaluated driver braking...
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
Calibration, Information, and Control Strategies for Braking to Avoid a Collision
effect. A new model is introduced according to which braking is controlled by keeping the perceived idealCalibration, Information, and Control Strategies for Braking to Avoid a Collision Brett R. Fajen Rensselaer Polytechnic Institute This study explored visual control strategies for braking to avoid collision
TOWARDS GLOBAL CHASSIS CONTROL BY INTEGRATING THE BRAKE AND
Paris-Sud XI, Université de
modeling and control, performance specifications, uncertainty, safety operation, passenger comfortTOWARDS GLOBAL CHASSIS CONTROL BY INTEGRATING THE BRAKE AND SUSPENSION SYSTEMS P. G´asp´ar*, 1 Z Institute, Hungary **GIPSA-Lab (Forma LAG), Grenoble, France Abstract: A control structure that integrates
Braking index of isolated pulsars: open questions and ways forward
Hamil, Oliver
2015-01-01T23:59:59.000Z
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...
Heavy and Overweight Vehicle Brake Testing: Five-Axle Combination Tractor-Flatbed Final Report
Lascurain, Mary Beth [ORNL; Capps, Gary J [ORNL; Franzese, Oscar [ORNL
2013-10-01T23:59:59.000Z
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
2000-04-26T23:59:59.000Z
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.
Development of Diagnostic Algorithms for Air Brakes in Trucks
Dhar, Sandeep
2011-10-21T23:59:59.000Z
of the experimental facility : : : : : : : : : : : : : : : : 22 14 A schematic of the experimental facility for leak test : : : : : : : : : 23 15 Flow Control Valve : : : : : : : : : : : : : : : : : : : : : : : : : : : : 24 16 Modes of operation of the air brake... the DAQ card. A MATLAB/Simulink application records and analyzes the data. Fig. 14. A schematic of the experimental facility for leak test A schematic of the setup to perform leak experiments is shown in Figure 14. The primary delivery of the treadle...
Development of Diagnostic Algorithms for Air Brakes in Trucks
Dhar, Sandeep
2011-10-21T23:59:59.000Z
and the rear brake chamber using the predicted primary circuit pressure : : : : : : : : : : : : : : : : : : : : 54 33 Simulated response of the hybrid system : : : : : : : : : : : : : : : : 64 34 Steady-state estimate of z1 of the pneumatic hybrid system... with massless piston : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 67 xii FIGURE Page 35 Steady-state estimates of z1 and z2 of the pneumatic hybrid system : 70 36 (a) Mechanical hybrid system, (b) non-hybrid counterpart : : : : : : 70 37...
Tyre curve estimation in slip-controlled braking
Miller, Jonathan I.; Cebon, David
2015-06-09T23:59:59.000Z
al.8, 9 that actuation delays in heavy vehicles could be reduced by an order of magnitude (from over 40 ms to under 4 ms) by placing fast pneumatic valves featuring “binary-actuation” technology directly on brake chambers, instead of conventional... estimated with a sliding mode observer by Cadiou et al.23 The estimator produced plausible force time histories, but the results showed significant scatter when plotted on slip-friction curves. Tyre curve identification Knowledge of the road friction...
A mathematical model for air brake systems in the presence of leaks
Ramaratham, Srivatsan
2008-10-10T23:59:59.000Z
of the pneumatic subsystem. . . . . . . . . . . . . . . . . . 20 16 Pressure transients at 722 kPa (90 psi) supply pressure with no leak. 22 17 Schematic of the setup for leak corroboration tests. . . . . . . . . . . 27 18 Comparison of measured and predicted mass... of detecting and locating leaks[6]. Most of the performance tests and visual based inspection tests of the air brake system indirectly correlate pressure in the brake chamber with the torque output, brake pad temperature, push rod strokes etc[7], [8]. More...
Real-Time Dynamic Brake Assessment Proof of Concept Final Report
Lascurain, Mary Beth [ORNL; Franzese, Oscar [ORNL; Capps, Gary J [ORNL
2011-11-01T23:59:59.000Z
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
2009-04-21T23:59:59.000Z
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.
Modeling the pneumatic subsystem of a S-cam air brake system
Coimbatore Subramanian, Shankar
2004-09-30T23:59:59.000Z
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...
Modeling the pneumatic relay valve of an s-cam air brake
Vilayannur Natarajan, Shankar
2005-08-29T23:59:59.000Z
- niques. The design of a model-based diagnostic system requires the development and experimental corroboration of a mathematical model of the evolution of pressure in each brake chamber of a truck in response to the application of brake pedal input...
Fault tolerant control of automatically controlled vehicles in response to brake system failures
Hsien, Li-Wei
1998-01-01T23:59:59.000Z
in the brake system is vital. In this thesis, nonlinear failure detection filters are used for fault detection of sensors and actuators in a class of nonlinear systems. In this thesis, the effects of brake system failures in an AHS where the vehicle steering...
Fault tolerant control of automatically controlled vehicles in response to brake system failures
Hsien, Li-Wei
1998-01-01T23:59:59.000Z
in the brake system is vital. In this thesis, nonlinear failure detection filters are used for fault detection of sensors and actuators in a class of nonlinear systems. In this thesis, the effects of brake system failures in an AHS where the vehicle steering...
Modeling the pneumatic subsystem of a S-cam air brake system
Coimbatore Subramanian, Shankar
2004-09-30T23:59:59.000Z
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...
Modeling the pneumatic relay valve of an s-cam air brake
Vilayannur Natarajan, Shankar
2005-08-29T23:59:59.000Z
by the driver, when there are no faults or defects in the brake system. This thesis is aimed at modeling and experimentally corroborating a subsystem of an air brake system, namely the pneumatic relay valve. The pneumatic relay valve takes a input signal from...
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
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
Injection Timing Effects on Brake Fuel Conversion Efficiency and Engine System's Respones
McLean, James Elliott
2011-10-21T23:59:59.000Z
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...
Braking index of isolated uniformly rotating magnetized pulsars
Hamil, Oliver; Urbanec, Martin; Urbancova, Gabriela
2015-01-01T23:59:59.000Z
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...
Vaziri, Ashkan
energy storage system and subsequently used for the propulsion, significantly reducing the vehicle the brake of a vehicle [1]. The total energy dissipated through braking during a typical urban area drive
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
A mathematical model for air brake systems in the presence of leaks
Ramaratham, Srivatsan
2008-10-10T23:59:59.000Z
stream_source_info Ramaratham.pdf.txt stream_content_type text/plain stream_size 48352 Content-Encoding UTF-8 stream_name Ramaratham.pdf.txt Content-Type text/plain; charset=UTF-8 A MATHEMATICAL MODEL FOR AIR BRAKE... Engineering A MATHEMATICAL MODEL FOR AIR BRAKE SYSTEMS IN THE PRESENCE OF LEAKS A Thesis by SRIVATSAN RAMARATHNAM Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE...
REPORT on the TRUCK BRAKE LINING WORKSHOP and FLEET OPERATORS' SURVEY
Blau, P.J.
2003-02-03T23:59:59.000Z
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.
Hybrid Braking System for Non-Drive Axles | Department of Energy
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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 DeliciousPlasma | Department of EnergyBraking System for Non-Drive Axles Hybrid Braking System for Non-Drive Axles
Classical and quantum Big Brake cosmology for scalar field and tachyonic models
Kamenshchik, A. Yu. [Dipartimento di Fisica e Astronomia and INFN, Via Irnerio 46, 40126 Bologna (Italy) and L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences, Kosygin str. 2, 119334 Moscow (Russian Federation); Manti, S. [Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa (Italy)
2013-02-21T23:59:59.000Z
We study a relation between the cosmological singularities in classical and quantum theory, comparing the classical and quantum dynamics in some models possessing the Big Brake singularity - the model based on a scalar field and two models based on a tachyon-pseudo-tachyon field . It is shown that the effect of quantum avoidance is absent for the soft singularities of the Big Brake type while it is present for the Big Bang and Big Crunch singularities. Thus, there is some kind of a classical - quantum correspondence, because soft singularities are traversable in classical cosmology, while the strong Big Bang and Big Crunch singularities are not traversable.
Achieving Consistent Maximum Brake Torque with Varied Injection Timing in a DI Diesel Engine
Kroeger, Timothy H
2013-09-19T23:59:59.000Z
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...
Achieving Consistent Maximum Brake Torque with Varied Injection Timing in a DI Diesel Engine
Kroeger, Timothy H
2013-09-19T23:59:59.000Z
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...
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 ; Søborg, Anders ; Yang, Zhenyu Published in: Energy Conference and Exhibition (EnergyCon), 2010 IEEE for published version (APA): Jepsen, F., Søborg, A., & Yang, Z. (2010). Disturbance Control of the Hydraulic
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)
2013-09-01T23:59:59.000Z
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.
Variations in gear fatigue life for different wind turbine braking strategies
McNiff, B.P. (Second Wind, Inc., Somerville, MA (USA)); Musial, W.D. (Solar Energy Research Inst., Golden, CO (USA)); Errichello, R. (GEARTECH, Albany, CA (USA))
1991-06-01T23:59:59.000Z
A large number of gearbox failures have occurred in the wind industry in a relatively short period, many because service loads were underestimated. High-torque transients that occur during starting and stopping are difficult to predict and may be overlooked in specifying gearbox design. Although these events comprise a small portion of total load cycles, they can be the most damaging. The severity of these loads varies dramatically with the specific configuration of the wind turbine. The large number of failures in Danish-designed Micon 65 wind turbines prompted this investigation. The high-speed and low-speed shaft torques were measured on a two-stage helical gearbox of a single Micon 65 turbine. Transient events and normal running loads were combined statistically to obtain a typical annual load spectrum. The pitting and bending fatigue lives of the gear teeth were calculated by using Miner's rule for four different high-speed shaft brake configurations. Each breaking scenario was run for both a high- and a low-turbulence normal operating load spectrum. The analysis showed increases in gear life by up to a factor of 25 when the standard high-speed shaft brake is replaced with a dynamic brake or modified with a damper. 9 refs., 9 figs., 3 tabs.
Gravity, Dimension, Equilibrium, & Thermodynamics
Jerome Perez
2006-03-30T23:59:59.000Z
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.
E. I. Guendelman; J. R. Morris
2003-07-01T23:59:59.000Z
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.
Big Mysteries: Extra Dimensions
Lincoln, Don
2014-08-07T23:59:59.000Z
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
1998-01-01T23:59:59.000Z
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
2013-01-29T23:59:59.000Z
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.
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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 on Delicious Rank EERE: Alternative Fuels Data Center Homes more and more AFVsUNITED STATES ENVIRONMENTALbuttonButton
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 Homes more andIncentive - Austin EnergyAccesshighlighted LowButton
Web Style Guide Fixed Dimension
Web Style Guide KEY: Fixed Dimension: Variable Dimension: V1.1, SEPTEMBER 2010 #12;Page 2 Table PAGE NEWS & EVENTS PAGE Fonts & Colors FONTS COLORS Web Writing Guidelines WEB WRITING GUIDELINES Web
Motivation and definitions Dimension theory
Climenhaga, Vaughn
Motivation and definitions Dimension theory Results: old and new Multifractal analysis of Birkhoff averages #12;Motivation and definitions Dimension theory Results: old and new Outline 1 Motivation and definitions A multifractal decomposition Example 2 Dimension theory Quantifying level sets A dynamically
Brown, Thomas B., M. Eng. Massachusetts Institute of Technology
2010-01-01T23:59:59.000Z
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 ...
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
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 power requirement is based on unstable valves, which take advantage of fluid induced forces to achieve open loop instability. Previous studies have shown that for unstable valves, the electromagnetic
Hopkins, Jennifer Susan
1995-01-01T23:59:59.000Z
driving game. Superimposed on the game screen was the image of a car which appeared to the driver to be ahead of him/her. The image enlarged in size, appearing to be a car applying its brakes. The participant was instructed to react as he would in a real...
Hopkins, Jennifer Susan
1995-01-01T23:59:59.000Z
driving game. Superimposed on the game screen was the image of a car which appeared to the driver to be ahead of him/her. The image enlarged in size, appearing to be a car applying its brakes. The participant was instructed to react as he would in a real...
Running couplings in extra dimensions
Jisuke Kubo; Haruhiko Terao; George Zoupanos
2000-10-07T23:59:59.000Z
The regularization scheme dependence of running couplings in extra compactified dimensions is discussed. We examine several regularization schemes explicitly in order to analyze the scheme dependence of the Kaluza-Klein threshold effects, which cause the power law running, in the case of the scalar theory in five dimensions with one dimension compactified. It is found that in 1-loop order, the net difference in the running of the coupling among the different schemes is reduced to be rather small after finite renormalization. An additional comment concerns the running couplings in the warped extra dimensions which are found to be regularization dependent above TeV scale.
Hidden Photons in Extra Dimensions
Chris J. Wallace; Joerg Jaeckel; Sabyasachi Roy
2013-11-25T23:59:59.000Z
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.
Eugen Schweitzer
2009-06-13T23:59:59.000Z
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.'
Pochiraju, Anirudh
2012-08-31T23:59:59.000Z
This thesis presents a flywheel based mechanical regenerative braking system (RBS) concept for a Formula SAE type race car application, to improve the performance and/or efficiency of the racecar. A mechanical system is chosen to eliminate losses...
A Braking Index for the Young, High-Magnetic-Field, Rotation-Powered Pulsar in Kes 75
Margaret A. Livingstone; Victoria M. Kaspi; E. V. Gotthelf; Lucien Kuiper
2006-04-21T23:59:59.000Z
We present the first phase-coherent measurement of a braking index for the young, energetic rotation-powered pulsar PSR J1846-0258. This 324 ms pulsar is located at the center of the supernova remnant Kes 75 and has a characteristic age of tau_c = 723 years, a spin-down energy of 8.3x10^{36}erg/s, and inferred magnetic field of 4.9x10^{13} G. Two independent phase-coherent timing solutions are derived which together span 5.5 yr of data obtained with the Rossi X-ray Timing Explorer. In addition, a partially phase-coherent timing analysis confirms the fully phase-coherent result. The measured value of the braking index, n=2.65+/-0.01, is significantly less than 3, the value expected from magnetic dipole radiation, implying another physical process must contribute to the pulsar's rotational evolution. Assuming the braking index has been constant since birth, we place an upper limit on the spin-down age of J1846-0258 of 884 yr, the smallest age estimate of any rotation-powered pulsar.
Dimension growth for C -algebras
2007-05-14T23:59:59.000Z
Feb 6, 2007 ... simple, nuclear, and non-Z-stable C?-algebras which are not ..... slow dimension growth should entail good behaviour in ordered K-theory. ..... The key connection between these characteristic classes is this: e(?) ..... Page 14 ...
Duchowski, Andrew T.
the safety of a steel cage with airbags and anti-lock brakes for a wispy two-wheeled exoskeleton as they make
Twist operators in higher dimensions
Ling-Yan Hung; Robert C. Myers; Michael Smolkin
2014-07-24T23:59:59.000Z
We study twist operators in higher dimensional CFT's. In particular, we express their conformal dimension in terms of the energy density for the CFT in a particular thermal ensemble. We construct an expansion of the conformal dimension in power series around n=1, with n being replica parameter. We show that the coefficients in this expansion are determined by higher point correlations of the energy-momentum tensor. In particular, the first and second terms, i.e. the first and second derivatives of the scaling dimension, have a simple universal form. We test these results using holography and free field theory computations, finding agreement in both cases. We also consider the `operator product expansion' of spherical twist operators and finally, we examine the behaviour of correlators of twist operators with other operators in the limit n ->1.
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.
Horváth, Zsolt; Kamenshchik, Alexander Yu; Gergely, László Á
2015-01-01T23:59:59.000Z
The evolution of a closed Friedmann universe filled by a tachyon scalar field with a trigonometric potential and cold dark matter (CDM) is investigated. A subset of the evolutions consistent to 1$\\sigma $ confidence level with the Union 2.1 supernova data set is identified. The evolutions of the tachyon field are classified. Some of them evolve into a de Sitter attractor, while others proceed through a pseudo-tachyonic regime into a sudden future singularity. Critical evolutions leading to Big Brake singularities in the presence of CDM are found and a new type of cosmological evolution characterized by singularity avoidance in the pseudo-tachyon regime is presented.
Domain Bubbles of Extra Dimensions
Morris, J R
2003-01-01T23:59:59.000Z
``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
2002-11-19T23:59:59.000Z
``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.
crystal nickel a hree dimension
Braun, Paul
Zhenting 1 Department 2 Departmen ABSTRACT This pape crystal nickel a hree dimension photonic cryst polystyrene op silicon chips, volume fraction can be controlle nickel structure hen sacrificed volume fraction reports microm crystal structur or alumina she nickel microca microstructure further electrop volume
Critical Gravity in Four Dimensions
Lue, H. [China Economics and Management Academy, Central University of Finance and Economics, Beijing 100081 (China); Institute for Advanced Study, Shenzhen University, Nanhai Avenue 3688, Shenzhen 518060 (China); Pope, C. N. [George P. and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A and M University, College Station, Texas 77843 (United States); DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge CB3 OWA (United Kingdom)
2011-05-06T23:59:59.000Z
We study four-dimensional gravity theories that are rendered renormalizable by the inclusion of curvature-squared terms to the usual Einstein action with a cosmological constant. By choosing the parameters appropriately, the massive scalar mode can be eliminated and the massive spin-2 mode can become massless. This ''critical'' theory may be viewed as a four-dimensional analogue of chiral topologically massive gravity, or of critical 'new massive gravity' with a cosmological constant, in three dimensions. We find that the on-shell energy for the remaining massless gravitons vanishes. There are also logarithmic spin-2 modes, which have positive energy. The mass and entropy of standard Schwarzschild-type black holes vanish. The critical theory might provide a consistent toy model for quantum gravity in four dimensions.
Hausdorff dimension and filling factor
Wellington Cruz
1998-02-25T23:59:59.000Z
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.
Dark Energy From Fifth Dimension
H. Alavirad; N. Riazi
2008-01-21T23:59:59.000Z
Observational evidence for the existence of dark energy is strong. Here we suggest a model which is based on a modified gravitational theory in 5D and interpret the 5th dimension as a manifestation of dark energy in the 4D observable universe. We also obtain an equation of state parameter which varies with time. Finally, we match our model with observations by choosing the free parameters of the model.
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
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
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
DarniÃ¨re, Luck
(Co)dimension dans les alg`ebres (co)Heyting Luck Darni`ere, Markus Junker (Co)dimension ComplÂ´etion PrÂ´ecompacitÂ´e DensitÂ´e et scission Mod`ele complÂ´etion SÂ´eminaire DDG, Paris 7 (Co)dimension dans les alg`ebres (co)Heyting Luck Darni`ere Markus Junker 10 novembre 2009 #12;(Co)dimension dans les alg
DEPARTMENT OF HUMAN DIMENSIONS OF NATURAL RESOURCES
CODE DEPARTMENT OF HUMAN DIMENSIONS OF NATURAL RESOURCES College of Natural Resources Colorado;3 DEPARTMENT OF NATURAL HUMAN DIMENSIONS OF NATURAL RESOURCES CODE ARTICLE I. GOAL AND OBJECTIVES A. DEPARTMENT MISSION The mission of the Department of Human Dimensions of Natural Resources is to contribute
Greenfield, M.A. [Univ. of California, Los Angeles, CA (United States); Sargent, T.J.
1995-11-01T23:59:59.000Z
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.
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 DeliciousPlasmaP a gHigh4-FD-a < RAPIDâ€Ž | RoadmapSolarSABRESinton Consulting Inc Jump to:Sistem EcoSixth Dimension
CDMS, Supersymmetry and Extra Dimensions
Laura Baudis
2006-09-07T23:59:59.000Z
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.
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
String Universality in Six Dimensions
Vijay Kumar; Washington Taylor
2009-10-10T23:59:59.000Z
In six dimensions, cancellation of gauge, gravitational, and mixed anomalies strongly constrains the set of quantum field theories which can be coupled consistently to gravity. We show that for some classes of six-dimensional supersymmetric gauge theories coupled to gravity, the anomaly cancellation conditions are equivalent to tadpole cancellation and other constraints on the matter content of heterotic/type I compactifications on K3. In these cases, all consistent 6D supergravity theories have a realization in string theory. We find one example which may arise from a novel string compactification, and we identify a new infinite family of models satisfying anomaly factorization. We find, however, that this infinite family of models, as well as other infinite families of models previously identified by Schwarz are pathological. We suggest that it may be feasible to demonstrate that there is a string theoretic realization of all consistent six-dimensional supergravity theories which have Lagrangian descriptions with arbitrary gauge and matter content. We attempt to frame this hypothesis of string universality as a concrete conjecture.
Constructive Dimension and Turing Degrees Laurent Bienvenu #
Stephan, Frank
S with constructive Hausdor# dimension dimH (S) and constructive packing dimension dimP (S) is Turing equivalent to a sequence R with dimH (R) # (dim H (S)/dim P (S)) - #, for arbitrary # > 0. Furthermore, if dimP (S) > 0, then dimP (R) # 1 - #. The reduction thus serves as a randomness extractor that increases the algorithmic
Combinatorial Dimension in Fractional Cartesian Products
Gao, Frank
Combinatorial Dimension in Fractional Cartesian Products Ron Blei,1 Fuchang Gao2 1 Department of Mathematics, University of Connecticut, Storrs, Connecticut 06268; e-mail: blei@math.uconn.edu 2 Department? Correspondence to: R. Blei © 2004 Wiley Periodicals, Inc. 146 #12;COMBINATORIAL DIMENSION IN FRACTIONAL CARTESIAN
Positioner with long travel in two dimensions
Trumper, David L. (Plaistow, NH); Williams, Mark E. (Pelham, NH)
1997-12-23T23:59:59.000Z
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.
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
1998-03-06T23:59:59.000Z
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).
Constructive Dimension and Turing Degrees Laurent Bienvenu
Doty, David
sequence S with constructive Hausdorff dimension dimH(S) and constructive packing dimension dimP(S, if dimP(S) > 0, then dimP(R) 1 - . The reduction thus serves as a randomness extractor that increases sequence S (that is, dimH(S) = dimP(S)) such that dimH(S) > 0, the Turing degree of S has constructive
Breaking Parity Symmetry Using Extra Dimensions
R. N. Mohapatra; A. Pérez-Lorenzana
1999-11-17T23:59:59.000Z
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.
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...
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
Grogan, Paul
, and lifestyle/ social dimensions. For example, is an energy-efficient hybrid car (with regenerative braking
Self-Dual Superstring in Six Dimensions
John H. Schwarz
1996-04-27T23:59:59.000Z
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.
Integral equations of scattering in one dimension
Vania E. Barlette; Marcelo M. Leite; Sadhan K. Adhikari
2001-03-05T23:59:59.000Z
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.
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 Homes more andIncentive - Austin EnergyAccess toE85 RetailNREL
Cosmological model with movement in fifth dimension
W. B. Belayev
2001-10-24T23:59:59.000Z
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.
Similarity Dimension of a Glaciated Terrain
Jackson, Daniel R.
rate of movement. #12;Data Acquisition · The topography of a formerly glaciated surface the proportionality constant b from the previous equation. #12;Application to Topography · The topography of a region, it becomes possible to evaluate the length and similarity dimension of topography as Richardson
DIMENSIONS of DISCOVERY Sponsored Program Awards
Ginzel, Matthew
DIMENSIONS of DISCOVERY Sponsored Program Awards May 2013 Office of the Vice President for ResearchFunds." Abu-Omar, Mahdi M; chemistry, from U.S. DepartmentofEnergy,$165,000,"OxoCata- lysts for the Conversion pathobiology, from PHS-NIH National Institute of Child Health and Human Development, $2,963, "Animal-Assisted
DIMENSIONS of DISCOVERY Sponsored Program Awards
Ginzel, Matthew
Assistance in Areas of National Need (GAANN) Fel- lowship -- Energy Education in Chemical EngineeringDIMENSIONS of DISCOVERY Sponsored Program Awards August 2011 Office of the Vice President." Allain, Jean P; nuclear engineering, from U.S. Department of Energy, $110,000, "Deci- phering
The communication dimension of wind energy
McCalley, James D.
The communication dimension of wind energy: Challenges and opportunities #12;OPPORTUNITIES #12;Pew;1. Emergent anti-wind energy advocacy groups #12;2. A multi-faceted technical issue that is difficult to explain Wind energy Policy Science Engineering Ethics Public relations Others #12;3. Different audience
The Environmental Justice Dimensions of Climate Change
The Environmental Justice Dimensions of Climate Change Marie Lynn Miranda, Douglas A. Hastings to mitigate the severe impacts of climate change predicted to occur in the twenty-first century. Many with climate change. This study investigates the varying degrees to which developing and developed nations
Geometrically induced magnetic catalysis and critical dimensions
Antonino Flachi; Kenji Fukushima; Vincenzo Vitagliano
2015-04-27T23:59:59.000Z
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.
M(atrix)-Theory in Various Dimensions
David Berenstein; Richard Corrado
1997-02-14T23:59:59.000Z
We demonstrate the precise numerical correspondence between long range scattering of supergravitons and membranes in supergravity in the infinite momentum frame and in M(atrix)-Theory, both in 11 dimensions and for toroidal compactifications. We also identify wrapped membranes in terms of topological invariants of the vector bundles associated to the field theory description of compactified M(atrix)-Theory. We use these results to check the realization of T-duality in M(atrix)-Theory.
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)
2011-03-01T23:59:59.000Z
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.
Effective Fractal Dimension in Computational Complexity and
have: Â computable by a finite automata dimFS Â computable in polynomial time dimp Â computable? E= DTIME(2n) DENSE= { L | n |Ln|>2n } dimp(E)=1 #12;Density of hard sets The p-dimension of sets-Hitchcock 2011] #12;Density of hard sets 1. Abundance result (dimp(E)=1) Most sets in E do not reduce to nondense
PACKING DIMENSIONS, TRANSVERSAL MAPPINGS AND GEODESIC FLOWS
JyvÃ¤skylÃ¤, University of
result for the packing dimension, dimp, of projected measures. They showed that if Âµ is a finite Borel measure on Rn , then (1.1) dimp PV Âµ = dimm Âµ for almost all V G(n, m), where dimm Âµ is a packing is the same for almost all projections, but it may happen that dimm Âµ dimp Âµ. The above results are "almost
Dimensional reduction without continuous extra dimensions
Chamseddine, Ali H. [American University of Beirut, Physics Department, Beirut, Lebanon and I.H.E.S. F-91440 Bures-sur-Yvette (France)] [American University of Beirut, Physics Department, Beirut, Lebanon and I.H.E.S. F-91440 Bures-sur-Yvette (France); Froehlich, J.; Schubnel, B. [ETHZ, Mathematics and Physics Departments, Zuerich (Switzerland)] [ETHZ, Mathematics and Physics Departments, Zuerich (Switzerland); Wyler, D. [Institute of Theoretical Physics, University of Zuerich (Switzerland)] [Institute of Theoretical Physics, University of Zuerich (Switzerland)
2013-01-15T23:59:59.000Z
We describe a novel approach to dimensional reduction in classical field theory. Inspired by ideas from noncommutative geometry, we introduce extended algebras of differential forms over space-time, generalized exterior derivatives, and generalized connections associated with the 'geometry' of space-times with discrete extra dimensions. We apply our formalism to theories of gauge- and gravitational fields and find natural geometrical origins for an axion- and a dilaton field, as well as a Higgs field.
Noncommutative Inspired Black Holes in Extra Dimensions
Rizzo, Thomas G.
2006-06-07T23:59:59.000Z
In a recent string theory motivated paper, Nicolini, Smailagic and Spallucci (NSS) presented an interesting model for a noncommutative inspired, Schwarzschild-like black hole solution in 4-dimensions. The essential effect of having noncommutative co-ordinates in this approach is to smear out matter distributions on a scale associated with the turn-on of noncommutativity which was taken to be near the 4-d Planck mass. In particular, NSS assumed that this smearing was essentially Gaussian. This energy scale is sufficiently large that in 4-d such effects may remain invisible indefinitely. Extra dimensional models which attempt to address the gauge hierarchy problem, however, allow for the possibility that the effective fundamental scale may not be far from {approx} 1 TeV, an energy regime that will soon be probed by experiments at both the LHC and ILC. In this paper we generalize the NSS model to the case where flat, toroidally compactified extra dimensions are accessible at the TeV-scale and examine the resulting modifications in black hole properties due to the existence of noncommutativity. We show that while many of the noncommutativity-induced black hole features found in 4-d by NSS persist, in some cases there can be significant modifications due the presence of extra dimensions. We also demonstrate that the essential features of this approach are not particularly sensitive to the Gaussian nature of the smearing assumed by NSS.
Carlos Castro; Alex Granik; M. S. El Naschie
2000-08-18T23:59:59.000Z
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 $\\phi^3$.
Adena Rissman Assistant Professor, Human Dimensions of Ecosystem Management
Sheridan, Jennifer
Adena Rissman Assistant Professor, Human Dimensions of Ecosystem Management Department of Forest Professor: 2009-present Human Dimensions of Ecosystem Management Department of Forest and Wildlife Ecology, Integrative Graduate Education and Research Training (IGERT). "Novel ecosystems, rapid change, and no
Search for large extra dimensions in dielectron and diphoton production
Baringer, Philip S.; Bean, Alice; Coppage, Don; Hebert, C.
2001-02-01T23:59:59.000Z
of the largest extra dimension, current gravitational observations rule out the case of a single large extra dimension. Recent preliminary results from gravity experiments at submil- limeter distances [4], as well as cosmological constraints from supernova...
Splitting a Complex of Convex Polytopes In Any Dimension*
Texas at Austin, University of
]. The main contributions of this approach atw (i) it c,an be applied to polyhedral complexes of any dimension
Generalized dimensions of images of measures under Gaussian processes
Falconer, Kenneth
). The corresponding question for packing dimension dimP, where dimensions of images of sets can behave in a more Brownian motion, dimP X(E) = dimd P E a.s., where dims P E is the `packing dimension profile' of E
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
Hausdorff dimension, anyonic distribution functions, and duality
Wellington da Cruz
1998-12-15T23:59:59.000Z
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 $(\
NONLINEAR MODELS IN 2 +{epsilon} DIMENSIONS
Friedan, D.
1980-05-01T23:59:59.000Z
A generalization of the nonlinear ~ model is considered. The field takes values in a compact manifold M and the coupling is determined by a Riemannian metric on H. The model is renormalizable in 2 + ~ dimensions, the renormalization group acting on the infinite dimensional space of Riemannian metrics. Topological properties of the p-function and solutions of the fixed point equation R{sub ij}-?g{sub ij}=?{sub i}v{sub j}+?{sub j}v{sub i}, ?=±1 or 0, are discussed.
Interacting spin-2 fields in three dimensions
Afshar, Hamid R; Merbis, Wout
2015-01-01T23:59:59.000Z
Using the frame formulation of multi-gravity in three dimensions, we show that demanding the presence of secondary constraints which remove the Boulware-Deser ghosts restricts the possible interaction terms of the theory and identifies invertible frame field combinations whose effective metric may consistently couple to matter. The resulting ghost-free theories can be represented by theory graphs which are trees. In the case of three frame fields, we explicitly show that the requirement of positive masses and energies for the bulk spin-2 modes in AdS$_3$ is consistent with a positive central charge for the putative dual CFT$_2$.
Interacting spin-2 fields in three dimensions
Hamid R. Afshar; Eric A. Bergshoeff; Wout Merbis
2015-01-14T23:59:59.000Z
Using the frame formulation of multi-gravity in three dimensions, we show that demanding the presence of secondary constraints which remove the Boulware-Deser ghosts restricts the possible interaction terms of the theory and identifies invertible frame field combinations whose effective metric may consistently couple to matter. The resulting ghost-free theories can be represented by theory graphs which are trees. In the case of three frame fields, we explicitly show that the requirement of positive masses and energies for the bulk spin-2 modes in AdS$_3$ is consistent with a positive central charge for the putative dual CFT$_2$.
Shape Dynamics in 2+1 Dimensions
Timothy Budd; Tim Koslowski
2011-07-07T23:59:59.000Z
Shape Dynamics is a formulation of General Relativity where refoliation invariance is traded for local spatial conformal invariance. In this paper we explicitly construct Shape Dynamics for a torus universe in 2+1 dimensions through a linking gauge theory that ensures dynamical equivalence with General Relativity. The Hamiltonian we obtain is formally a reduced phase space Hamiltonian. The construction of the Shape Dynamics Hamiltonian on higher genus surfaces is not explicitly possible, but we give an explicit expansion of the Shape Dynamics Hamiltonian for large CMC volume. The fact that all local constraints are linear in momenta allows us to quantize these explicitly, and the quantization problem for Shape Dynamics turns out to be equivalent to reduced phase space quantization. We consider the large CMC-volume asymptotics of conformal transformations of the wave function. We then use the similarity of Shape Dynamics on the 2-torus with the explicitly constructible strong gravity (BKL) Shape Dynamics Hamiltonian in higher dimensions to suggest a quantization strategy for Shape Dynamics.
Physical Vacuum Properties and Internal Space Dimension
M. V. Gorbatenko; A. V. Pushkin
2004-09-25T23:59:59.000Z
The paper addresses matrix spaces, whose properties and dynamics are determined by Dirac matrices in Riemannian spaces of different dimension and signature. Among all Dirac matrix systems there are such ones, which nontrivial scalar, vector or other tensors cannot be made up from. These Dirac matrix systems are associated with the vacuum state of the matrix space. The simplest vacuum system realization can be ensured using the orthonormal basis in the internal matrix space. This vacuum system realization is not however unique. The case of 7-dimensional Riemannian space of signature 7(-) is considered in detail. In this case two basically different vacuum system realizations are possible: (1) with using the orthonormal basis; (2) with using the oblique-angled basis, whose base vectors coincide with the simple roots of algebra E_{8}. Considerations are presented, from which it follows that the least-dimension space bearing on physics is the Riemannian 11-dimensional space of signature 1(-)& 10(+). The considerations consist in the condition of maximum vacuum energy density and vacuum fluctuation energy density.
Self-consistent bounces in two dimensions
Baacke, Juergen; Kevlishvili, Nina [Institut fuer Physik, Universitaet Dortmund, D-44221 Dortmund (Germany)
2005-01-15T23:59:59.000Z
We compute bounce solutions describing false vacuum decay in a {phi}{sup 4} model in two dimensions in the Hartree approximation, thus going beyond the usual one-loop corrections to the decay rate. We use zero energy mode functions of the fluctuation operator for the numerical computation of the functional determinant and the Green's function. We thus avoid the necessity of discretizing the spectrum, as it is necessary when one uses numerical techniques based on eigenfunctions. Regularization is performed in analogy of standard perturbation theory; the renormalization of the Hartree approximation is based on the two-particle point-irreducible scheme. The iteration towards the self-consistent solution is found to converge for some range of the parameters. Within this range we find the corrections to the leading one-loop approximation to be relatively small, not exceeding 1 order of magnitude in the total transition rate.
The BCS - BEC Crossover In Arbitrary Dimensions
Zohar Nussinov; Shmuel Nussinov
2005-10-11T23:59:59.000Z
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
2011-01-01T23:59:59.000Z
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 ...
Improved Bounds on Universal Extra Dimensions
Thomas Flacke
2006-05-13T23:59:59.000Z
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.
Extra dimensions, orthopositronium decay, and stellar cooling
Alexander Friedland; Maurizio Giannotti
2007-09-14T23:59:59.000Z
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.
Constructive Dimension and Weak Truth-Table Degrees
Doty, David
dimension dimH(S) and constructive packing dimension dimP(S) is weak truth-table equivalent to a sequence R with dimH(R) dimH(S)/dimP(S) - , for arbitrary > 0. Furthermore, if dimP(S) > 0, then dimP(R) 1H(S) = dimP(S)) such that dimH(S) > 0, the wtt degree of S has constructive Hausdorff and packing dimension
Computing fractal dimension in supertransient systems directly, fast and reliable
Romulus Breban; Helena E. Nusse
2006-08-07T23:59:59.000Z
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.
Universal anomalous dimensions at large spin and large twist
Apratim Kaviraj; Kallol Sen; Aninda Sinha
2015-06-09T23:59:59.000Z
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.
Estimating the Attractor Dimension of the Equatorial Weather System
Melvin Leok Boon Tiong
1995-10-25T23:59:59.000Z
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.
Einstein's Dream of Unified Forces - extra dimensions | U.S....
Office of Science (SC) Website
hidden? What are the new particles associated with extra dimensions? Through the production of new particles that move in the extra space, the LHC experiments will have direct...
Gauge and Higgs Boson Masses from an Extra Dimension
Graham Moir; Peter Dziennik; Nikos Irges; Francesco Knechtli; Kyoko Yoneyama
2014-11-03T23:59:59.000Z
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 \
Reduction of dimension for nonlinear dynamical systems
Heather A. Harrington; Robert A. Van Gorder
2015-08-24T23:59:59.000Z
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.
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
1998-03-05T23:59:59.000Z
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, $\
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
The Wavelet Dimension Function for Real Dilations and Dilations Admitting
Bownik, Marcin
The Wavelet Dimension Function for Real Dilations and Dilations Admitting non-MSF Wavelets Marcin Bownik and Darrin Speegle Abstract. The wavelet dimension function for arbitrary real dila- tions is defined and used to address several questions involving the existence of MRA wavelets and well
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
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
2009-01-01T23:59:59.000Z
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.
is that the islands tend to buckle during anneal- ing to relieve stress, in addition to their lateral expansion Fig. 1Reduced buckling in one dimension versus two dimensions of a compressively strained film may permit undesirable roughening buckling of a compressively strained film. In this work, we
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.
2014-12-10T23:59:59.000Z
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
2002-07-15T23:59:59.000Z
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.
Congestion pricing : policy dimensions, public rejection and impacts
Chingcuanco, Franco (Franco Felipe)
2014-01-01T23:59:59.000Z
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
2015-09-14T23:59:59.000Z
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.
The Higgs boson as a gauge field in extra dimensions
Marco Serone
2005-08-29T23:59:59.000Z
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.
The N = 8 superconformal bootstrap in three dimensions
Chester, Shai M.
We analyze the constraints imposed by unitarity and crossing symmetry on the four-point function of the stress-tensor multiplet of N=8 superconformal field theories in three dimensions. We first derive the superconformal ...
Female perpetrated intimate aggression: the role of relational dimensions
Madkins, Jeanette Patricia
2009-05-15T23:59:59.000Z
-1 FEMALE PERPETRATED INTIMATE AGGRESSION: THE ROLE OF RELATIONAL DIMENSIONS A Dissertation by JEANETTE PATRICIA MADKINS 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 August 2007 Major Subject: Counseling Psychology FEMALE PERPETRATED INTIMATE AGGRESSION: THE ROLE OF RELATIONAL DIMENSIONS A Dissertation by JEANETTE PATRICIA MADKINS Submitted to the Office...
Constructive Dimension and Weak Truth-Table Degrees
Paris-Sud XI, Université de
infinite sequence S with construc- tive Hausdorff dimension dimH(S) and constructive packing dimension dimP(S. Furthermore, if dimP(S) > 0, then dimP(R) 1 - . The reduc- tion thus serves as a randomness extractor. It is also shown that, for any regular sequence S (that is, dimH(S) = dimP(S)) such that dimH(S) > 0, the wtt
Multipole moments for black objects in five dimensions
Kentaro Tanabe; Seiju Ohashi; Tetsuya Shiromizu
2010-11-19T23:59:59.000Z
In higher dimensions than four, conventional uniqueness theorem in asymptotically flat space-times does not hold, i.e., black objects can not be classified only by the mass, angular momentum and charge. In this paper, we define multipole moments for black objects and show that Myers-Perry black hole and black ring can be distinguished by quadrupole moments. This consideration gives us a new insight for the uniqueness theorem for black objects in higher dimensions.
Cosmologically safe QCD axion as a present from extra dimension
Kawasaki, Masahiro; Yanagida, Tsutomu T
2015-01-01T23:59:59.000Z
We propose a QCD axion model where the origin of PQ symmetry and suppression of axion isocurvature perturbations are explained by introducing an extra dimension. Each extra quark-antiquark pair lives on branes separately to suppress PQ breaking operators. The size of the extra dimension changes after inflation due to an interaction between inflaton and a bulk scalar field, which implies that the PQ symmetry can be drastically broken during inflation to suppress undesirable axion isocurvature fluctuations.
Mass Generation and Related Issues from Exotic Higher Dimensions
M. Rojas; M. A. De Andrade; L. P. Colatto; J. L. Matheus-Valle; L. P. G. De Assis; J. A. Helayel-Neto
2011-11-09T23:59:59.000Z
The main purpose of this work is to show that massless Dirac equation formulated for non-interacting Majorana-Weyl spinors in higher dimensions, particularly in D=1+9 and D=5+5, can lead to an interpretation of massive Majorana and Dirac spinors in D=1+3. By adopting suitable representations of the Dirac matrices in higher dimensions, we pursue the investigation of which higher dimensional space-times and which mass-shell relation concerning massless Dirac equations in higher dimensions may induce massive spinors in D=1+3. The mixing of the chiral fermions in higher dimensions may induce a mechanism such that four massive Majorana fermions may show up and, at an appropriate limit an almost zero and a huge mass show up with corresponding left-handed and right-handed eigenstates. This mechanism, in a peculiar way, could reassess the See-Saw scheme associated to neutrino with Majorana-type masses. Remarkably the masses of the particles are fixed by the dimension decoupling/reduction scheme based on the mass Lorentz invariant term, where one set of the decoupled dimensions are the "target" coordinates frame and the other set of coordinates is the composing block of the mass term in lower dimensions. This proposal should allow us to understand the generation of hierarchies, such as the fourth generation, for the fermionic masses in D=1+3, or in lower dimensions in general, starting from the constraints between the energy and the momentum in D=n+n. For the initial D=5+5 Majorana-Weyl spinors framework using the Weyl representation to the Dirac matrices we observe an intriguing decomposition of space-time that result in two very equivalent D=1+4 massive spinors which mass term, in D=1+3 included, is originated from the remained/decoupled component and that could induce a Brane-World mechanism.
V. D. Dzhunushaliev
1997-12-16T23:59:59.000Z
It is supposed that in our Universe with compactified extra dimensions (ED) the domains exist with noncompactified ED. Such domain can be a wormhole-like solution in multidimensional gravity (MD), located between two null surfaces. With the availability of compactification mechanism this MD domain can be joined on null surfaces with two black holes filled by gauge field. Solution of this kind in MD gravity on the principal bundle with structural group SU(3) is obtained. This solution is wormhole-like object located between two null surfaces $ds^2=0$. In some sense these solutions are dual to black holes: they are statical spherically symmetric solutions under null surfaces whereas black holes are statical spherically symmetric solutions outside of event horizon.
Dimension of physical systems, information processing, and thermodynamics
Nicolas Brunner; Marc Kaplan; Anthony Leverrier; Paul Skrzypczyk
2014-12-18T23:59:59.000Z
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.
HAUSDORFF DIMENSION, ANALYTIC SETS AND TRANSCENDENCE G. A. EDGAR AND CHRIS MILLER
Edgar, Gerald
HAUSDORFF DIMENSION, ANALYTIC SETS AND TRANSCENDENCE G. A. EDGAR any of* * Edgar [5], Falconer [7], Mattila [9] or [11] for details). From now on, "dimension
Large-dimension, high-ZT Thermoelectric Nanocomposites for High-Power
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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 DeliciousPlasma | Department of EnergyBrakingDepartment ofProgram Management Bioenergy Technologies
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.
2015-04-15T23:59:59.000Z
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
Multi-element probabilistic collocation method in high dimensions
Foo, Jasmine [Division of Applied Mathematics, Brown University, 182 George St., Box F, Providence, RI 02912 (United States); Karniadakis, George Em [Division of Applied Mathematics, Brown University, 182 George St., Box F, Providence, RI 02912 (United States)], E-mail: gk@dam.brown.edu
2010-03-01T23:59:59.000Z
We combine multi-element polynomial chaos with analysis of variance (ANOVA) functional decomposition to enhance the convergence rate of polynomial chaos in high dimensions and in problems with low stochastic regularity. Specifically, we employ the multi-element probabilistic collocation method MEPCM and so we refer to the new method as MEPCM-A. We investigate the dependence of the convergence of MEPCM-A on two decomposition parameters, the polynomial order {mu} and the effective dimension {nu}, with {nu}<
Mass Generation and Related Issues from Exotic Higher Dimensions
Rojas, M; Colatto, L P; Matheus-Valle, J L; De Assis, L P G; Helayel-Neto, J A
2011-01-01T23:59:59.000Z
The main purpose of this work is to show that massless Dirac equation formulated for non-interacting Majorana-Weyl spinors in higher dimensions, particularly in D=1+9 and D=5+5, can lead to an interpretation of massive Majorana and Dirac spinors in D=1+3. By adopting suitable representations of the Dirac matrices in higher dimensions, we pursue the investigation of which higher dimensional space-times and which mass-shell relation concerning massless Dirac equations in higher dimensions may induce massive spinors in D=1+3. The mixing of the chiral fermions in higher dimensions may induce a mechanism such that four massive Majorana fermions may show up and, at an appropriate limit an almost zero and a huge mass show up with corresponding left-handed and right-handed eigenstates. This mechanism, in a peculiar way, could reassess the See-Saw scheme associated to neutrino with Majorana-type masses. Remarkably the masses of the particles are fixed by the dimension decoupling/reduction scheme based on the mass Lore...
Probing Large Extra Dimensions With IceCube
Arman Esmaili; O. L. G. Peres; Zahra Tabrizi
2014-12-02T23:59:59.000Z
In models with Large Extra Dimensions the smallness of neutrino masses can be naturally explained by introducing gauge singlet fermions which propagate in the bulk. The Kaluza-Klein modes of these fermions appear as towers of sterile neutrino states on the brane. We study the phenomenological consequences of this picture for the high energy atmospheric neutrinos. For this purpose we construct a detailed equivalence between a model with large extra dimensions and a (3 + n) scenario consisting of three active and n extra sterile neutrino states, which provides a clear intuitive understanding of Kaluza-Klein modes. Finally, we analyze the collected data of high energy atmospheric neutrinos by IceCube experiment and obtain bounds on the radius of extra dimensions.
Fermions in odd space-time dimensions: back to basics
Bashir, A; Galicia, Ma. de Jesus Anguiano
2005-01-01T23:59:59.000Z
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
2005-02-09T23:59:59.000Z
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.
Sidestepping the Cosmological Constant with Football-Shaped Extra Dimensions
Sean M. Carroll; Monica M. Guica
2003-02-11T23:59:59.000Z
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.
TASI Lectures on Supergravity and String Vacua in Various Dimensions
Washington Taylor
2011-04-14T23:59:59.000Z
These lectures aim to provide a global picture of the spaces of consistent quantum supergravity theories and string vacua in higher dimensions. The lectures focus on theories in the even dimensions 10, 8, and 6. Supersymmetry, along with with anomaly cancellation and other quantum constraints, places strong limitations on the set of physical theories which can be consistently coupled to gravity in higher-dimensional space-times. As the dimensionality of space-time decreases, the range of possible supergravity theories and the set of known string vacuum constructions expand. These lectures develop the basic technology for describing a variety of string vacua, including heterotic, intersecting brane, and F-theory compactifications. In particular, a systematic presentation is given of the basic elements of F-theory. In each dimension, we summarize the current state of knowledge regarding the extent to which supergravity theories not realized in string theory can be shown to be inconsistent.
Conformal constraints for anomalous dimensions of leading twist operators
A. N. Manashov; M. Strohmaier
2015-03-16T23:59:59.000Z
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.
RECURRENCE, DIMENSION AND ENTROPY AI-HUA FAN, DE-JUN FENG AND JUN WU
Fan, Ai-Hua
about the Hausdorff dimension dimH , the packing dimension dimP and the upper box dimension dimB (see [8 setting, topological entropy is related to dimension by 1 log m htop (E()) l dimH (E()) l dimP (E
Fractal dimension analysis in a highly granular calorimeter
Ruan, M; Brient, J.C; Jeans, D; Videau, H
2015-01-01T23:59:59.000Z
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 Critical "Dimension" in a Shell Model for Turbulence
Paolo Giuliani; Mogens H. Jensen; Victor Yakhot
2001-02-08T23:59:59.000Z
We investigate the GOY shell model within the scenario of a critical dimension in fully developed turbulence. By changing the conserved quantities, one can continuously vary an ``effective dimension'' between $d=2$ and $d=3$. We identify a critical point between these two situations where the flux of energy changes sign and the helicity flux diverges. Close to the critical point the energy spectrum exhibits a turbulent scaling regime followed by a plateau of thermal equilibrium. We identify scaling laws and perform a rescaling argument to derive a relation between the critical exponents. We further discuss the distribution function of the energy flux.
Stable blowup for wave equations in odd space dimensions
Roland Donninger; Birgit Schörkhuber
2015-04-03T23:59:59.000Z
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.
Minimum length, extra dimensions, modified gravity and black hole remnants
Maziashvili, Michael, E-mail: maziashvili@gmail.com [Particle Physics and Cosmology Group, Ilia State University, 3/5 Cholokashvili Ave., Tbilisi 0162, Georgia (United States)
2013-03-01T23:59:59.000Z
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.
A procedure to Estimate the Fractal Dimension of Waveforms
Carlos Sevcik
2010-03-27T23:59:59.000Z
A method is described for calculating the approximate fractal dimension from a set of N values y sampled from a waveform between time zero and t. The waveform was subjected to a double linear transformation that maps it into a unit square.
Biocompatible Force Sensor with Optical Readout and Dimensions of
Straight, Aaron
Biocompatible Force Sensor with Optical Readout and Dimensions of 6 nm3 Hari Shroff,,§ Bjo1rn M Received June 6, 2005 ABSTRACT We have developed a nanoscopic force sensor with optical readout. The sensor energy transfer. The sensor was calibrated between 0 and 20 pN using a combined magnetic tweezers
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
Running Scaling Dimensions in Holographic Renormalization Group Flows
Wolfgang Mueck
2010-06-15T23:59:59.000Z
Holographic renormalization group flows can be interpreted in terms of effective field theory. Based on such an interpretation, a formula for the running scaling dimensions of gauge-invariant operators along such flows is proposed. The formula is checked for some simple examples from the AdS/CFT correspondence, but can be applied also in non-AdS/non-CFT cases.
Yang-Mills like instantons in eight and seven dimensions
E. K. Loginov; E. D. Loginova
2014-10-10T23:59:59.000Z
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.
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
Sliced Coordinate Analysis for Effective Dimension Reduction and Nonlinear Extensions
Kwok, James Tin-Yau
regression; Re- producing kernels. 1. INTRODUCTION The notion of effective dimension reduction (EDR, Li 1991 for estimating the EDR space. Unlike principal component regression, which first applies principal component of an input vector by regressing the input vector against the corresponding output to form an EDR space
A note on Farey sequences and Hausdorff dimension
Wellington da Cruz
1999-02-15T23:59:59.000Z
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.
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
PACKING DIMENSION RESULTS FOR ANISOTROPIC GAUSSIAN RANDOM FIELDS
Xiao, Yimin
and GrX [0, 1]N are determined by the lower index of . Namely, dimP X [0, 1]N = min d, N , a.s. (1.5) and dimP GrX [0, 1]N = min N , N + (1 - )d , a.s., (1.6) where dimP E denotes the packing dimension of E
PACKING DIMENSION RESULTS FOR ANISOTROPIC GAUSSIAN RANDOM FIELDS
Paris-Sud XI, Université de
by the lower index of . Namely, dimP X [0, 1]N = min d, N , a.s. (1.5) and dimP GrX [0, 1]N = min N , N + (1 - )d , a.s., (1.6) where dimP E denotes the packing dimension o
Liquid pair correlations in four spatial dimensions: Theory versus simulation
M. Heinen; J. Horbach; H. Löwen
2014-11-06T23:59:59.000Z
Using liquid integral equation theory, we calculate the pair correlations of particles that interact via a smooth repulsive pair potential in d = 4 spatial dimensions. We discuss the performance of different closures for the Ornstein-Zernike equation, by comparing the results to computer simulation data. Our results are of relevance to understand crystal and glass formation in high-dimensional systems.
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
The Equivalence Principle as a Probe for Higher Dimensions
Paul S. Wesson
2006-01-17T23:59:59.000Z
Higher-dimensional theories of the kind which may unify gravitation with particle physics can lead to significant modifications of general relativity. In five dimensions, the vacuum becomes non-standard, and the Weak Equivalence Principle becomes a geometrical symmetry which can be broken, perhaps at a level detectable by new tests in space.
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
Upper bounds for multiphase composites in any dimension
Luis Silvestre
2010-10-12T23:59:59.000Z
We prove a rigorous upper bound for the effective conductivity of an isotropic composite made of several isotropic components in any dimension. This upper bound coincides with the Hashin Shtrikman bound when the volume ratio of all phases but any two vanish.
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
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
IEEE TRANSACTIONS ON IMAGE PROCESSING 1 Determining the Intrinsic Dimension
Damelin, Steven
chemical unmixing [1], extracting speech signals in a noisy line [2], unmixing minerals [3] and unmixingIEEEProof IEEE TRANSACTIONS ON IMAGE PROCESSING 1 Determining the Intrinsic Dimension is an important step in the spectral unmixing process and under- or overestimation of this number may lead
Destabilization of Neutron Stars by Type I Dimension Bubbles
E. I. Guendelman; J. R. Morris
2005-01-16T23:59:59.000Z
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.
Global symmetries of Yang-Mills squared in various dimensions
Anastasiou, A; Hughes, M J; Nagy, S
2015-01-01T23:59:59.000Z
Tensoring two on-shell super Yang-Mills multiplets in dimensions $D\\leq 10$ yields an on-shell supergravity multiplet, possibly with additional matter multiplets. Associating a (direct sum of) division algebra(s) $\\mathbb{D}$ with each dimension $3\\leq D\\leq 10$ we obtain formulae for the algebras $\\mathfrak{g}$ and $\\mathfrak{h}$ of the U-duality group $G$ and its maximal compact subgroup $H$, respectively, in terms of the internal global symmetry algebras of each super Yang-Mills theory. We extend our analysis to include supergravities coupled to an arbitrary number of matter multiplets by allowing for non-supersymmetric multiplets in the tensor product.
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)
2011-11-15T23:59:59.000Z
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.
Magnetic and Electric Black Holes in Arbitrary Dimension
Adil Belhaj; Pablo Diaz; Antonio segui
2009-06-02T23:59:59.000Z
In this work, we compare two different objects: electric black holes and magnetic black holes in arbitrary dimension. The comparison is made in terms of the corresponding moduli space and their extremal geometries. We treat parallelly the magnetic and the electric cases. Specifically, we discuss the gravitational solution of these spherically symmetric objects in the presence of a positive cosmological constant. Then, we find the bounded region of the moduli space allowing the existence of black holes. After identifying it in both the electric and the magnetic case, we calculate the geometry that comes out between the horizons at the coalescence points. Although the electric and magnetic cases are both very different (only dual in four dimensions), gravity solutions seem to clear up most of the differences and lead to very similar geometries.
Perturbative c-theorem in d-dimensions
Kazuya Yonekura
2013-01-15T23:59:59.000Z
We study perturbative behavior of free energies on a d-dimensional sphere S^d for theories with marginal interactions. The free energies are interpreted as the "dilaton effective action" with the dilaton having a nontrivial background vacuum expectation value. We compute the dependence of the free energies on the radius of the sphere by using dimensional regularization. It is shown that the first (second) derivative of the free energies in odd (even) dimensions with respect to the radius of the sphere are proportional to the square of the beta functions of coupling constants. The result is consistent with the c, F and a-theorems in two, three, four and six dimensions. The result is also used to rule out a large class of scale invariant theories which are not conformally invariant.
Borromean ground state of fermions in two dimensions
A. G. Volosniev; D. V. Fedorov; A. S. Jensen; N. T. Zinner
2014-08-29T23:59:59.000Z
The study of quantum mechanical bound states is as old as quantum theory itself. Yet, it took many years to realize that three-body borromean systems that are bound when any two-body subsystem is unbound are abundant in nature. Here we demonstrate the existence of borromean systems of spin-polarized (spinless) identical fermions in two spatial dimensions. The ground state with zero orbital (planar) angular momentum exists in a borromean window between critical two- and three-body strengths. The doubly degenerate first excited states of angular momentum one appears only very close to the two-body threshold. They are the lowest in a possible sequence of so-called super-Efimov states. While the observation of the super-Efimov scaling could be very difficult, the borromean ground state should be observable in cold atomic gases and could be the basis for producing a quantum gas of three-body states in two dimensions.
Asymptotically flat anisotropic space-time in 5 dimensions
Manavendra Mahato; Ajay Pratap Singh
2014-09-28T23:59:59.000Z
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.
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.
Bosonization in higher dimensions via noncommutative field theory
Alexios P. Polychronakos
2006-05-04T23:59:59.000Z
We propose the bosonization of a many-body fermion theory in D spatial dimensions through a noncommutative field theory on a (2D-1)-dimensional space. This theory leads to a chiral current algebra over the noncommutative space and reproduces the correct perturbative Hilbert space and excitation energies for the fermions. The validity of the method is demonstrated by bosonizing a two-dimensional gas of fermions in a harmonic trap.
Bosonization in Higher Dimensions via Noncommutative Field Theory
Polychronakos, Alexios P. [Physics Department, City College of the CUNY, New York, New York 10031 (United States)
2006-05-12T23:59:59.000Z
We propose the bosonization of a many-body fermion theory in D spatial dimensions through a noncommutative field theory on a (2D-1)-dimensional space. This theory leads to a chiral current algebra over the noncommutative space and reproduces the correct perturbative Hilbert space and excitation energies for the fermions. The validity of the method is demonstrated by bosonizing a two-dimensional gas of fermions in a harmonic trap.
Zero point energy on extra dimension: Noncommutative Torus
S. Fabi; B. Harms; G. Karatheodoris
2007-04-25T23:59:59.000Z
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.
PACKING-DIMENSION PROFILES AND FRACTIONAL BROWNIAN MOTION
Khoshnevisan, Davar
analytic set E RN and every integer 1 m N, (1.1) dimP (PV E) = DimmE for n,m-almost all V Gn,m, Date is the packing dimension dimP E. The principle aim of this note is to prove that (1.2) holds for all real numbers, 1985, Chapter 18). Xiao (1997) proved that for every analytic set E RN , (1.3) dimP X(E) = 1 H Dim
HAUSDORFF DIMENSION, ANALYTIC SETS AND TRANSCENDENCE G. A. EDGAR AND CHRIS MILLER
Edgar, Gerald
HAUSDORFF DIMENSION, ANALYTIC SETS AND TRANSCENDENCE G. A. EDGAR AND CHRIS MILLER Abstract. Every of Edgar [5], Falconer [7], Mattila [9] or [11] for details). From now on, "dimension" means "Hausdorff
Co-dimension-two Grazing Bifurcations in Single-degree-of-freedom Impact Oscillators
Zhao, Xiaopeng
Co-dimension-two Grazing Bifurcations in Single-degree-of-freedom Impact Oscillators Phanikrishna paper, the transition be- tween two characteristically different co-dimension-one grazing bifurcation scenarios is found to be associated with the presence of certain co-dimension-two graz- ing bifurcation
Cosmology in One Dimension: Fractal Geometry, Power Spectra and Correlation
Bruce N. Miller; Jean-Louis Rouet
2010-12-08T23:59:59.000Z
Concentrations of matter, such as galaxies and galactic clusters, originated as very small density fluctuations in the early universe. The existence of galaxy clusters and super-clusters suggests that a natural scale for the matter distribution may not exist. A point of controversy is whether the distribution is fractal and, if so, over what range of scales. One-dimensional models demonstrate that the important dynamics for cluster formation occur in the position-velocity plane. Here the development of scaling behavior and multifractal geometry is investigated for a family of one-dimensional models for three different, scale-free, initial conditions. The methodology employed includes: 1) The derivation of explicit solutions for the gravitational potential and field for a one-dimensional system with periodic boundary conditions (Ewald sums for one dimension); 2) The development of a procedure for obtaining scale-free initial conditions for the growing mode in phase space for an arbitrary power-law index; 3) The evaluation of power spectra, correlation functions, and generalized fractal dimensions at different stages of the system evolution. It is shown that a simple analytic representation of the power spectra captures the main features of the evolution, including the correct time dependence of the crossover from the linear to nonlinear regime and the transition from regular to fractal geometry. A possible physical mechanism for understanding the self-similar evolution is introduced. It is shown that hierarchical cluster formation depends both on the model and the initial power spectrum. Under special circumstances a simple relation between the power spectrum, correlation function, and correlation dimension in the highly nonlinear regime is confirmed.
Search for universal extra dimensions in ppbar collisions
Abazov, Victor Mukhamedovich; /Dubna, JINR; Abbott, Braden Keim; /Oklahoma U.; Acharya, Bannanje Sripath; /Tata Inst.; Adams, Mark Raymond; /Illinois U., Chicago; Adams, Todd; /Florida State U.; Alexeev, Guennadi D.; /Dubna, JINR; Alkhazov, Georgiy D.; /St. Petersburg, INP; Alton, Andrew K.; /Michigan U. /Augustana Coll., Sioux Falls; Alverson, George O.; /Northeastern U.; Aoki, Masato; /Fermilab; Askew, Andrew Warren; /Florida State U. /Stockholm U.
2011-12-01T23:59:59.000Z
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.
Method of forming cavitated objects of controlled dimension
Anderson, P.R.; Miller, W.J.
1981-02-11T23:59:59.000Z
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, B.R.; Kaushik, S.
1999-05-18T23:59:59.000Z
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.
Near field optical probe for critical dimension measurements
Stallard, Brian R. (Albuquerque, NM); Kaushik, Sumanth (Cambridge, MA)
1999-01-01T23:59:59.000Z
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.
Zero point energy on extra dimensions: Noncommutative torus
Fabi, S.; Harms, B.; Karatheodoris, G. [Department of Physics and Astronomy, University of Alabama, Box 870324, Tuscaloosa, Alabama 35487-0324 (United States)
2007-09-15T23:59:59.000Z
In this paper we calculate the zero point energy density experienced by observers on M{sup 4} due to a massless scalar field defined throughout M{sup 4}xT{sub F}{sup 2}, where T{sub F}{sup 2} are fuzzy extra dimensions. Using the Green's function approach we calculate the energy density for the commutative torus and the fuzzy torus. We also calculate the energy density for the fuzzy torus using the Hamiltonian approach. Agreement is shown between the Green's function and Hamiltonian approaches.
The Running coupling BFKL anomalous dimensions and splitting functions.
Thorne, Robert S
2 2 + 30.72?¯50? ) . (2.36) 14 This contribution to the splitting function for t = 6 and is shown in fig. 6.a. Note that because of the truncation of GE(N, t), beyond 6th order the expression for PLOgg (?, ?s(Q2)) is not what one would really get... .K. Abstract I explicitly calculate the anomalous dimensions and splitting functions governing the Q2 evolu- tion of the parton densities and structure functions which result from the running coupling BFKL equation at LO, i.e. I perform a resummation in powers...
Model Independence in Two Dimensions and Polarized Cold Dipolar Molecules
Volosniev, A. G.; Fedorov, D. V.; Jensen, A. S.; Zinner, N. T. [Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C (Denmark)
2011-06-24T23:59:59.000Z
We calculate the energy and wave functions of two particles confined to two spatial dimensions interacting via arbitrary anisotropic potentials with negative or zero net volume. The general rigorous analytic expressions are given in the weak coupling limit where universality or model independence are approached. The monopole part of anisotropic potentials is crucial in the universal limit. We illustrate the universality with a system of two arbitrarily polarized cold dipolar molecules in a bilayer. We discuss the transition to universality as a function of polarization and binding energy and compare analytic and numerical results obtained by the stochastic variational method. The universal limit is essentially reached for experimentally accessible strengths.
Statistical Mechanics of Kinks in (1+1)-Dimensions
Francis J. Alexander; Salman Habib
1992-12-09T23:59:59.000Z
We investigate the thermal equilibrium properties of kinks in a classical $\\phi^4$ field theory in $1+1$ dimensions. The distribution function, kink density, and correlation function are determined from large scale simulations. A dilute gas description of kinks is shown to be valid below a characteristic temperature. A double Gaussian approximation to evaluate the eigenvalues of the transfer operator enables us to extend the theoretical analysis to higher temperatures where the dilute gas approximation fails. This approach accurately predicts the temperature at which the kink description breaks down.
Radion stabilization from the vacuum on flat extra dimensions
Santos, Eli [Departamento de Fisica, Universidad Autonoma Metropolitana, Apartado Postal 55-534, C. P. 09340 Mexico, D.F. (Mexico); Secretaria Academica de Fisica y Matematicas, Fac. de Ingenieria, Universidad Autonoma de Chiapas, Calle 4a. Oriente, Norte 1428, 29000 Tuxtla Gutierrez, Chiapas (Mexico); Perez-Lorenzana, A. [Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del I.P.N., Apartado Postal 14-740, 07000, Mexico, D.F. (Mexico); Pimentel, Luis O. [Departamento de Fisica, Universidad Autonoma Metropolitana, Apartado Postal 55-534, C. P. 09340 Mexico, D.F. (Mexico)
2008-01-15T23:59:59.000Z
Volume stabilization in models with flat extra dimensions could follow from vacuum energy residing in the bulk when translational invariance is spontaneously broken. We study a simple toy model that exemplifies this mechanism which considers a massive scalar field with nontrivial boundary conditions at the end points of the compact space, and includes contributions from brane and bulk cosmological constants. We perform our analysis in the conformal frame where the radion field, associated with volume variations, is defined, and present a general strategy for building stabilization potentials out of those ingredients. We also provide working examples for the interval and the T{sup n}/Z{sub 2} orbifold configuration.
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
2002-11-13T23:59:59.000Z
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.
Explicit Supersymmetry Breaking on Boundaries of Warped Extra Dimensions
Hall, Lawrence J.; Nomura, Yasunori; Okui, Takemichi; Oliver, Steven J.
2003-02-25T23:59:59.000Z
Explicit supersymmetry breaking is studied in higher dimensional theories by having boundaries respect only a subgroup of the bulk symmetry. If the boundary symmetry is the maximal subgroup allowed by the boundary conditions imposed on the fields, then the symmetry can be consistently gauged; otherwise gauging leads to an inconsistent theory. In a warped fifth dimension, an explicit breaking of all bulk supersymmetries by the boundaries is found to be inconsistent with gauging; unlike the case of flat 5D, complete supersymmetry breaking by boundary conditions is not consistent with supergravity. Despite this result, the low energy effective theory resulting from boundary supersymmetry breaking becomes consistent in the limit where gravity decouples, and such models are explored in the hope that some way of successfully incorporating gravity can be found. A warped constrained standard model leads to a theory with one Higgs boson with mass expected close to the experimental limit. A unified theory in a warped fifth dimension is studied with boundary breaking of both SU(5) gauge symmetry and supersymmetry. The usual supersymmetric predictionfor gauge coupling unification holds even though the TeV spectrum is quite unlike the MSSM. Such a theory may unify matter and Higgs in the same SU(5) hypermultiplet.
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)
2005-05-01T23:59:59.000Z
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.
Tests of mode-coupling theory in two dimensions
Fabian Weysser; David Hajnal
2011-04-26T23:59:59.000Z
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.
Diesel lube oils; Fourth dimension of diesel particulate control
Springer, K.J. (Southwest Research Institute, San Antonio, TX (US))
1989-07-01T23:59:59.000Z
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.
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
2010-11-27T23:59:59.000Z
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
1995-12-11T23:59:59.000Z
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.
Higher Derivative Corrections to Charged Fluids in 2n Dimensions
Banerjee, Nabamita; Jain, Akash
2015-01-01T23:59:59.000Z
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
2015-02-25T23:59:59.000Z
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.
Brane solutions of a spherical sigma model in six dimensions
Hyun Min Lee; Antonios Papazoglou
2004-11-16T23:59:59.000Z
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.
Decay of Graviton Condensates and their Generalizations in Arbitrary Dimensions
Florian Kuhnel; Bo Sundborg
2014-09-30T23:59:59.000Z
Classicalons are self-bound classical field configurations, which include black holes in General Relativity. In quantum theory, they are described by condensates of many soft quanta. In this work, their decay properties are studied in arbitrary dimensions. It is found that generically the decays of other classicalons are enhanced compared to pure graviton condensates, ie. black holes. The evaporation of higher dimensional graviton condensates turns out to match Hawking radiation solely due to non-linearites captured by the classicalon picture. Although less stable than black holes, all self-bound condensates are shown to be stable in the limit of large mass. Like for black holes, the effective coupling always scales as the inverse of the number of constituents, indicating that these systems are at critical points of quantum phase transitions. Consequences for cosmology, astro- and collider physics are briefly discussed.
Generalized Duality and Singular Strings in Higher Dimensions
I. Bars; K. Sfetsos
1991-10-24T23:59:59.000Z
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.
Inhomogeneous Cooling of the Rough Granular Gas in Two Dimensions
Sudhir N. Pathak; Dibyendu Das; R. Rajesh
2014-07-03T23:59:59.000Z
We study the inhomogeneous clustered regime of a freely cooling granular gas of rough particles in two dimensions using large-scale event driven simulations and scaling arguments. During collisions, rough particles dissipate energy in both the normal and tangential directions of collision. In the inhomogeneous regime, translational kinetic energy and the rotational energy decay with time $t$ as power-laws $t^{-\\theta_T}$ and $t^{-\\theta_R}$. We numerically determine $\\theta_T \\approx 1$ and $\\theta_R \\approx 1.6$, independent of the coefficients of restitution. The inhomogeneous regime of the granular gas has been argued to be describable by the ballistic aggregation problem, where particles coalesce on contact. Using scaling arguments, we predict $\\theta_T=1$ and $\\theta_R=1$ for ballistic aggregation, $\\theta_R$ being different from that obtained for the rough granular gas. Simulations of ballistic aggregation with rotational degrees of freedom are consistent with these exponents.
Cross product in N Dimensions - the doublewedge product
Carlo Andrea Gonano; Riccardo Enrico Zich
2014-07-21T23:59:59.000Z
The cross product frequently occurs in Physics and Engineering, since it has large applications in many contexts, e.g. for calculating angular momenta, torques, rotations, volumes etc. Though this mathematical operator is widely used, it is commonly expressed in a 3-D notation which gives rise to many paradoxes and difficulties. In fact, instead of other vector operators like scalar product, the cross product is defined just in 3-D space, it does not respect reflection rules and invokes the concept of "handedness". In this paper we are going to present an extension of cross product in an arbitrary number N of spatial Dimensions, different from the one adopted in the Exterior Algebra and explicitly designed for an easy calculus of moments.
Dirac equation in low dimensions: The factorization method
J. A. Sanchez-Monroy; C. J. Quimbay
2014-09-30T23:59:59.000Z
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.
Conserved Quasilocal Quantities and General Covariant Theories in Two Dimensions
W. Kummer; P. Widerin
1995-02-15T23:59:59.000Z
General matterless--theories in 1+1 dimensions include dilaton gravity, Yang--Mills theory as well as non--Einsteinian gravity with dynamical torsion and higher power gravity, and even models of spherically symmetric d = 4 General Relativity. Their recent identification as special cases of 'Poisson--sigma--models' with simple general solution in an arbitrary gauge, allows a comprehensive discussion of the relation between the known absolutely conserved quantities in all those cases and Noether charges, resp. notions of quasilocal 'energy--momentum'. In contrast to Noether like quantities, quasilocal energy definitions require some sort of 'asymptotics' to allow an interpretation as a (gauge--independent) observable. Dilaton gravitation, although a little different in detail, shares this property with the other cases. We also present a simple generalization of the absolute conservation law for the case of interactions with matter of any type.
Massive "spin-2" theories in arbitrary $D \\ge 3$ dimensions
D. Dalmazi; A. L. R. dos Santos; E. L. Mendonça
2014-08-28T23:59:59.000Z
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 $e_{[\\mu\
Higgs Critical Exponents and Conformal Bootstrap in Four Dimensions
Oleg Antipin; Esben Mølgaard; Francesco Sannino
2015-05-11T23:59:59.000Z
We investigate relevant properties of composite operators emerging in nonsupersymmetric, four-dimensional gauge-Yukawa theories with interacting conformal fixed points within a precise framework. The theories investigated in this work are structurally similar to the standard model of particle interactions, but differ by developing perturbative interacting fixed points. We investigate the physical properties of the singlet and the adjoint composite operators quadratic in the Higgs field, and discover that the singlet anomalous dimension is substantially larger than the adjoint one. The numerical bootstrap results are then compared to precise four dimensional conformal field theoretical results. To accomplish this, it was necessary to calculate explicitly the crossing symmetry relations for the global symmetry group SU($N$)$\\times$SU($N$).
The Metastability Threshold for Modified Bootstrap Percolation in d Dimensions
Alexander E. Holroyd
2006-04-03T23:59:59.000Z
In the modified bootstrap percolation model, sites in the cube {1,...,L}^d are initially declared active independently with probability p. At subsequent steps, an inactive site becomes active if it has at least one active nearest neighbour in each of the d dimensions, while an active site remains active forever. We study the probability that the entire cube is eventually active. For all d>=2 we prove that as L\\to\\infty and p\\to 0 simultaneously, this probability converges to 1 if L=exp^{d-1} (lambda+epsilon)/p, and converges to 0 if L=exp^{d-1} (lambda-epsilon)/p, for any epsilon>0. Here exp^n denotes the n-th iterate of the exponential function, and the threshold lambda equals pi^2/6 for all d.
Strongly interacting confined quantum systems in one dimension
A. G. Volosniev; D. V. Fedorov; A. S. Jensen; M. Valiente; N. T. Zinner
2015-05-24T23:59:59.000Z
In one dimension, the study of magnetism dates back to the dawn of quantum mechanics when Bethe solved the famous Heisenberg model that describes quantum behaviour in magnetic systems. In the last decade, one-dimensional systems have become a forefront area of research driven by the realization of the Tonks-Girardeau gas using cold atomic gases. Here we prove that one-dimensional fermionic and bosonic systems with strong short-range interactions are solvable in arbitrary confining geometries by introducing a new energy-functional technique and obtaining the full spectrum of energies and eigenstates. As a first application, we calculate spatial correlations and show how both ferro- and anti-ferromagnetic states are present already for small system sizes that are prepared and studied in current experiments. Our work demonstrates the enormous potential for quantum manipulation of magnetic correlations at the microscopic scale.
Non-linear scaling of performance appraisal dimensions: application of the ProMES methodology
Hedley, Amie Lynn
1990-01-01T23:59:59.000Z
of an employee to the organization. For example, one dimension of performance might be the ability of an employee to effectively communicate with co-workers. In order to determine what these performance dimensions might be, interviews were conducted. 22... overall composite, the raw scores were converted to z-scores. In order to do this, the mean and standard deviation were computed for each performance dimension. These calculations were done across the subjects in all three groups. An employee's z...
Packing Dimension Profiles and Levy Processes D. Khoshnevisan, R.L. Schilling and Y. Xiao
Khoshnevisan, Davar
that computes the Hausdorff dimension dimH X(F) of X(F), see [13] and its extensive bibliography. Let dimP denote the packing dimension. The main goal of the present paper is to evaluate dimP X(F) in terms study the packing dimension dimP X(F). Let us point out two noteworthy cases where dimP X(F) has been
ON THE DIMENSION OF THE SET OF RIM PERTURBATIONS FOR OPTIMAL PARTITION INVARIANCE
Greenberg, Harvey J.
that if the dimension of the primal optimality region, dim(P ), is zero, this means it is an extreme point.
HOW BEHAVE THE TYPICAL Lq-DIMENSIONS OF MEASURES? FREDERIC BAYART
Boyer, Edmond
. The Hausdorff and the packing dimension of E are denoted respectively by dimH(E) and dimP(E). Also, for a subset
Extra Dimensions of Space: Are They Going to be Found Soon?
Rubakov, Valery [Institute for Nuclear Research, Moscow, Russia
2010-09-01T23:59:59.000Z
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.
The inverse conductivity problem with power densities in dimension n2
François Monard, Guillaume Bal
2012-06-19T23:59:59.000Z
Jun 19, 2012 ... The inverse conductivity problem with power densities in dimension n ? 2. François Monard Guillaume Bal. Dept. of Applied Physics and ...
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
2011-06-23T23:59:59.000Z
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.
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)
2011-10-01T23:59:59.000Z
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.
Evidence of gravitons as fused photons in four dimensions
Z R Adam
2009-06-02T23:59:59.000Z
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.
The Compactification Problems of Additional Dimensions in Multidimensional Cosmological Theories
Tamerlan Saidov
2011-11-30T23:59:59.000Z
Multidimensionality of our Universe is one of the most intriguing assumption in modern physics. It follows naturally from theories unifying different fundamental interactions with gravity, e.g. M/string theory. The idea has received a great deal of renewed attention over the last few years. However, it also brings a row of additional questions. According to observations the internal space should be static or nearly static at least from the time of primordial nucleosynthesis, otherwise the fundamental physical constants would vary. This means that at the present evolutionary stage of the Universe there are two possibilities: slow variation or compactification of internal space scale parameters. In many recent studies the problem of extra dimensions stabilization was studied for so-called ADD. Under these approaches a massive scalar fields (gravitons or radions) of external space-time can be presented as conformal excitations. In above mentioned works it was assumed that multidimensional action to be linear with respect to curvature. Although as follows from string theory, the gravity action needs to be extended to nonlinear one. In order to investigate effects of nonlinearity, in this Thesis a multidimensional Lagrangian will be studied, having the form L = f(R), where f(R) is an arbitrary smooth function of the scalar curvature.
Extra Dimensions: 3D and Time in PDF Documentation
Graf, Norman A.; /SLAC
2011-11-10T23:59:59.000Z
High energy physics is replete with multi-dimensional information which is often poorly represented by the two dimensions of presentation slides and print media. Past efforts to disseminate such information to a wider audience have failed for a number of reasons, including a lack of standards which are easy to implement and have broad support. Adobe's Portable Document Format (PDF) has in recent years become the de facto standard for secure, dependable electronic information exchange. It has done so by creating an open format, providing support for multiple platforms and being reliable and extensible. By providing support for the ECMA standard Universal 3D (U3D) file format in its free Adobe Reader software, Adobe has made it easy to distribute and interact with 3D content. By providing support for scripting and animation, temporal data can also be easily distributed to a wide audience. In this talk, we present examples of HEP applications which take advantage of this functionality. We demonstrate how 3D detector elements can be documented, using either CAD drawings or other sources such as GEANT visualizations as input. Using this technique, higher dimensional data, such as LEGO plots or time-dependent information can be included in PDF files. In principle, a complete event display, with full interactivity, can be incorporated into a PDF file. This would allow the end user not only to customize the view and representation of the data, but to access the underlying data itself.
A Superstring Theory in Four Curved Space-Time Dimensions
I. Bars; K. Sfetsos
1991-11-20T23:59:59.000Z
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.
Global Fits of the Minimal Universal Extra Dimensions Scenario
Bertone, Gianfranco; /Zurich U. /Paris, Inst. Astrophys.; Kong, Kyoungchul; /SLAC /Kansas U.; de Austri, Roberto Ruiz; /Valencia U., IFIC; Trotta, Roberto; /Imperial Coll., London
2012-06-22T23:59:59.000Z
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.
Thermodynamics of SU(3) Gauge Theory in 2 + 1 Dimensions
P. Bialas; L. Daniel; A. Morel; B. Petersson
2008-07-21T23:59:59.000Z
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.
The sharp threshold for bootstrap percolation in all dimensions
József Balogh; Béla Bollobás; Hugo Duminil-Copin; Robert Morris
2011-02-24T23:59:59.000Z
In r-neighbour bootstrap percolation on a graph G, a (typically random) set A of initially 'infected' vertices spreads by infecting (at each time step) vertices with at least r already-infected neighbours. This process may be viewed as a monotone version of the Glauber dynamics of the Ising model, and has been extensively studied on the d-dimensional grid $[n]^d$. The elements of the set A are usually chosen independently, with some density p, and the main question is to determine $p_c([n]^d,r)$, the density at which percolation (infection of the entire vertex set) becomes likely. In this paper we prove, for every pair $d \\ge r \\ge 2$, that there is a constant L(d,r) such that $p_c([n]^d,r) = [(L(d,r) + o(1)) / log_(r-1) (n)]^{d-r+1}$ as $n \\to \\infty$, where $log_r$ denotes an r-times iterated logarithm. We thus prove the existence of a sharp threshold for percolation in any (fixed) number of dimensions. Moreover, we determine L(d,r) for every pair (d,r).
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
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
Comment on the shape of Hydrogen equation in spaces of arbitrary dimension
M. Ya. Amusia
2015-02-20T23:59:59.000Z
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.
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
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
Lower scaling dimensions of quarks and gluons and new energy scales
F. Palumbo
1996-05-08T23:59:59.000Z
We consider the possibility that quarks and gluons, due to confinement, have lower scaling dimensions. In such a case there appear naturally new energy scales below which the standard theory is recovered. Arguments are given whereby for dimension $1/2$ of the quarks the theory is unitary also above these energy scales.
A numerical study on the dimension of an extremely inhomogeneous matter distribution
Cecilia B. M. H. Chirenti
2005-08-10T23:59:59.000Z
We have developed an algorithm that numericaly computes the dimension of an extremely inhomogeous matter distribution, given by a discrete hierarchical metric. With our results it is possible to analise how the dimension of the matter density tends to d = 3, as we consider larger samples.
Packing Dimension and Cartesian Products Christopher J. Bishop1 Yuval Peres2
Bishop, Christopher
that (dimH (A B) dimH(B)) ~ dimP(A) ; (1) where "dimP " denotes packing dimension (see) showed that dimP(E F ) ~ dimH(E) + dimP(F ) : (3) Hu the "* *regular- ization" of this index the lower packing dimension, denoted dim_P, although it * *is
A wideband fast multipole method for the Helmholtz equation in three dimensions
Martinsson, Gunnar
A wideband fast multipole method for the Helmholtz equation in three dimensions Hongwei Cheng of the Fast Multipole Method for the Helmholtz equation in three dimensions. It uni- fies previously existing Inc. All rights reserved. MSC: 65R99; 78A45 Keywords: Helmholtz equation; Fast multipole method
A NEW FAST-MULTIPOLE ACCELERATED POISSON SOLVER IN TWO DIMENSIONS
Greengard, Leslie
A NEW FAST-MULTIPOLE ACCELERATED POISSON SOLVER IN TWO DIMENSIONS FRANK ETHRIDGE AND LESLIEÂ760 Abstract. We present an adaptive fast multipole method for solving the Poisson equation in two dimensions for highly nonuniform grids. Key words. fast multipole method, Poisson equation, adaptive refinement, fast
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
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
The wavelet dimension function for real dilations and dilations admitting non-MSF wavelets
Speegle, Darrin
The wavelet dimension function for real dilations and dilations admitting non-MSF wavelets Marcin Bownik and Darrin Speegle Abstract. The wavelet dimension function for arbitrary real dilations is defined and used to address several questions involving the existence of MRA wavelets and well
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
Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions
Hideo Kubo
2012-05-26T23:59:59.000Z
In this paper we deal with the exterior problem for a system of nonlinear wave equations in two space dimensions, assuming that the initial data is small and smooth. We establish the same type of lower bound of the lifespan for the problem as that for the Cauchy problem, despite of the weak decay property of the solution in two space dimensions.
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
2015-01-29T23:59:59.000Z
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
2008-12-09T23:59:59.000Z
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 [Institute for Human and Machine Cognition
2012-11-01T23:59:59.000Z
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.
Boom and Bust Inflation: A Graceful Exit via Compact Extra Dimensions
Brown, Adam R. [Physics Department, Columbia University, New York, New York 10027 (United States)
2008-11-28T23:59:59.000Z
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
2010-02-21T23:59:59.000Z
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
2009-01-01T23:59:59.000Z
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.
Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators
Landon Lehman
2014-12-26T23:59:59.000Z
We present a complete list of the independent dimension-7 operators that are constructed using the Standard Model degrees of freedom and are invariant under the Standard Model gauge group. This list contains only 20 independent operators; far fewer than the 63 operators available at dimension 6. All of these dimension-7 operators contain fermions and violate lepton number, and 7 of the 20 violate baryon number as well. This result extends the Standard Model Effective Field Theory (SMEFT) and allows a more detailed exploration of the structure and properties of possible deformations from the Standard Model Lagrangian.
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
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 ...
On the Dimensioning of Cellular OFDMA Networks Jean-Marc Kelifa
Boyer, Edmond
On the Dimensioning of Cellular OFDMA Networks Jean-Marc Kelifa , Marceau Coupechoux,b , Philippe.kelif@orange-ftgroup.com (Jean-Marc Kelif), coupecho@enst.fr (Marceau Coupechoux), godlewsk@enst.fr (Philippe Godlewski) Preprint
Fixed Points Structure & Effective Fractional Dimension for O(N) Models with Long-Range Interactions
Nicolo Defenu; Andrea Trombettoni; Alessandro Codello
2014-11-25T23:59:59.000Z
We study O(N) models with power-law interactions by using functional renormalization group methods: we show that both in Local Potential Approximation (LPA) and in LPA' their critical exponents can be computed from the ones of the corresponding short-range O(N) models at an effective fractional dimension. In LPA such effective dimension is given by $D_{eff}=2d/\\sigma$, where d is the spatial dimension and $d+\\sigma$ is the exponent of the power-law decay of the interactions. In LPA' the prediction by Sak [Phys. Rev. B 8, 1 (1973)] for the critical exponent $\\eta$ is retrieved and an effective fractional dimension $D_{eff}'$ is obtained. Using these results we determine the existence of multicritical universality classes of long-range O(N) models and we present analytical predictions for the critical exponent $\
Einstein-Born-Infeld on Taub-NUT Spacetime in 2k+2 Dimensions
A. Khodam-Mohammadi
2009-05-26T23:59:59.000Z
We wish to construct solutions of Taub-NUT spacetime in Einstein-Born-Infeld gravity in even dimensions. Since Born-Infeld theory is a nonlinear electrodynamics theory, in leads to nonlinear differential equations. However a proper analytical solution was not obtain, we try to solve it numerically (by the Runge-Kotta method) with initial conditions coinciding with those of our previous work in Einstein-Maxwell gravity. We solve equations for 4, 6 and 8 dimensions and do data fitting by the least-squares method. For N=l=b=1, the metric turns to the NUT solution only in 8 dimensions, but in 4 and 6 dimensions the spacetime does not have any Nut solution.
Title: Multimedia Kaleidoscope: New dimensions for the organization of social multimedia
Title: Multimedia Kaleidoscope: New dimensions for the organization of social multimedia Responsible lab: Delft Multimedia Information Retrieval Lab Martha impression of a possible design for a multimedia Kaleidoscope Description
Title: Multimedia Kaleidoscope: New dimensions for the organization of social multimedia
Title: Multimedia Kaleidoscope: New dimensions for the organization of social multimedia Description: A multimedia kaleidoscope is a dynamic collection.g., blogs and Twitter content) and multimedia (e.g., Flickr and other image
Recurrence, dimension and entropy Ai-hua FAN De-jun FENG Jun WU
Feng, De-Jun
are then defined on . We shall talk about_the Hausdorff dimensio* *n dimH , the packing dimension dimP dimH E (ff) = dimP E (ff) = _____ max h~ logm ~2F
A LOCAL DIMENSION TEST FOR NUMERICALLY APPROXIMATED POINTS ON ALGEBRAIC SETS
Sommese, Andrew J.
, denoted here as dimp(V ). This article presents a rigorous numerical local dimension test. The test (and computing the mult* *i- plicity if it is); 2.computing dimp(V ) for nonisolated
A LOCAL DIMENSION TEST FOR NUMERICALLY APPROXIMATED POINTS ON ALGEBRAIC SETS
Sommese, Andrew J.
, denoted here as dimp(V ). This article presents a rigorous numerical local dimension test. The test, which- plicity if it is); 2. computing dimp(V ) for nonisolated points p; 3. finding all irreducible components
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...
More on critical collapse of axion-dilaton system in dimension four
Álvarez-Gaumé, Luis [Theory Group, Physics Department, CERN, CH-1211, Geneva 23 (Switzerland); Hatefi, Ehsan, E-mail: Luis.Alvarez-Gaume@cern.ch, E-mail: ehsan.hatefi@cern.ch [International Centre for Theoretical Physics, Strada Costiera 11, Trieste (Italy)
2013-10-01T23:59:59.000Z
We complete our previous study of critical gravitational collapse in the axion-dilaton system by analysing the hyperbolic and parabolic ansaetze. As could be expected, the corresponding Choptuik exponents in four-dimensions differ from the elliptic case.
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
HAUSDORFF DIMENSION, ANALYTIC SETS AND TRANSCENDENCE G. A. EDGAR AND CHRIS MILLER
Edgar, Gerald
HAUSDORFF DIMENSION, ANALYTIC SETS AND TRANSCENDENCE G. A. EDGAR AND CHRIS MILLER Abstract. Every, is the infimum of all s # 0 such that H s (A) = 0. (See any of Edgar [5], Falconer [7], Mattila [9] or [11
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
Rotating charged hairy black hole in (2+1) dimensions and particle acceleration
J. Sadeghi; B. Pourhassan; H. Farahani
2013-10-26T23:59:59.000Z
In this paper we construct rotating charged hairy black hole in (2+1) dimensions for infinitesimal black hole charge and rotation parameters. Then we consider this black hole as particle accelerator and calculate the center-of-mass energy of two colliding test particles near the rotating charged hairy black hole in (2+1) dimensions. As we expected, the center-of-mass energy has infinite value.
Magnetic and Electric Dipole Constraints on Extra Dimensions and Magnetic Fluxes
Aaron J. Roy; Myron Bander
2008-05-10T23:59:59.000Z
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.
Non-linear scaling of performance appraisal dimensions: application of the ProMES methodology
Hedley, Amie Lynn
1990-01-01T23:59:59.000Z
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...
POWER-LAW BOUNDS ON TRANSFER MATRICES AND QUANTUM DYNAMICS IN ONE DIMENSION
the proof of [20] that + #21; 1 d dimP (#22; ) (7) (with d #21; 1 in the case of l 2 (Z d ) and d = 1 , and dimH (#22;); dimP (#22;) denote the (upper) Hausdor#11; and packing dimensions of the measure #22 "!0 log #22;([E "; E + "]) log " ; E 2 supp #22;: For the packing dimension, we have dimP (#22;) = #22
Enhancing Learning through Assessment: Case Study using feedback from a Human Dimension Survey
Windham, Marian K.
2010-01-14T23:59:59.000Z
-1 ENHANCING LEARNING THROUGH ASSESSMENT: A CASE STUDY USING FEEDBACK FROM A HUMAN DIMENSIONS SURVEY A Thesis by MARIAN KRYSTAL WINDHAM Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements... for the degree of MASTER OF SCIENCE August 2009 Major Subject: Wildlife and Fisheries Sciences ENHANCING LEARNING THROUGH ASSESSMENT: A CASE STUDY USING FEEDBACK FROM A HUMAN DIMENSIONS SURVEY A Thesis by MARIAN KRYSTAL...
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)
2009-03-03T23:59:59.000Z
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.
Unified N=2 Maxwell-Einstein and Yang-Mills-Einstein Supergravity Theories in Four Dimensions
M. Gunaydin; S. McReynolds; M. Zagermann
2005-07-22T23:59:59.000Z
We study unified N=2 Maxwell-Einstein supergravity theories (MESGTs) and unified Yang-Mills Einstein supergravity theories (YMESGTs) in four dimensions. As their defining property, these theories admit the action of a global or local symmetry group that is (i) simple, and (ii) acts irreducibly on all the vector fields of the theory, including the ``graviphoton''. Restricting ourselves to the theories that originate from five dimensions via dimensional reduction, we find that the generic Jordan family of MESGTs with the scalar manifolds [SU(1,1)/U(1)] X [SO(2,n)/SO(2)X SO(n)] are all unified in four dimensions with the unifying global symmetry group SO(2,n). Of these theories only one can be gauged so as to obtain a unified YMESGT with the gauge group SO(2,1). Three of the four magical supergravity theories defined by simple Euclidean Jordan algebras of degree 3 are unified MESGTs in four dimensions. Two of these can furthermore be gauged so as to obtain 4D unified YMESGTs with gauge groups SO(3,2) and SO(6,2), respectively. The generic non-Jordan family and the theories whose scalar manifolds are homogeneous but not symmetric do not lead to unified MESGTs in four dimensions. The three infinite families of unified five-dimensional MESGTs defined by simple Lorentzian Jordan algebras, whose scalar manifolds are non-homogeneous, do not lead directly to unified MESGTs in four dimensions under dimensional reduction. However, since their manifolds are non-homogeneous we are not able to completely rule out the existence of symplectic sections in which these theories become unified in four dimensions.
Fermionic and Bosonic Stabilizing Effects for Type I and Type II Dimension Bubbles
J. R. Morris
2004-05-21T23:59:59.000Z
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.
Conformal Bootstrap Approach to O(N) Fixed Points in Five Dimensions
Jin-Beom Bae; Soo-Jong Rey
2014-12-19T23:59:59.000Z
Whether O(N)-invariant conformal field theory exists in five dimensions with its implication to higher-spin holography was much debated. We find an affirmative result on this question by utilizing conformal bootstrap approach. In solving for the crossing symmetry condition, we propose a new approach based on specification for the low-lying spectrum distribution. We find the traditional one-gap bootstrapping is not suited since the nontrivial fixed point expected from large-N expansion sits at deep interior (not at boundary or kink) of allowed solution region. We propose two-gap bootstrapping that specifies scaling dimension of two lowest scalar operators. The approach carves out vast region of lower scaling dimensions and universally features two tips. We find that the sought-for nontrivial fixed point now sits at one of the tips, while the Gaussian fixed point sits at the other tip. The scaling dimensions of scalar operators fit well with expectation based on large-N expansion. We also find indication that the fixed point persist for lower values of N all the way down to N=1. This suggests that interacting unitary conformal field theory exists in five dimensions for all nonzero N.
Coherence in Large-Scale Networks: Dimension-Dependent Limitations of Local Feedback
Bamieh, Bassam; Mitra, Partha; Patterson, Stacy
2011-01-01T23:59:59.000Z
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...
Magic state distillation in all prime dimensions using quantum Reed-Muller codes
Campbell, Earl T; Browne, Dan E
2012-01-01T23:59:59.000Z
We propose families of protocols for magic state distillation -- important components of fault tolerance schemes --- for systems of odd prime dimension. Our protocols utilize quantum Reed-Muller codes with transversal non-Clifford gates. We find that in higher dimensions smaller codes can be used than one might expect based on qubit codes. All our protocols produce magic states at a resource cost that increases only polynomially with the inverse of the final ouput error probability. We give specific details for 3-dimensional systems, where we find that certain magic states can be distilled provided an initial error probability of less than 20.02% or a depolarizing noise rate of less than 31.7%. This is the largest error probability threshold of all known protocols with polynomial resource cost. For a depolarizing noise model we also give distillation thresholds for odd prime dimensions up-to 19.
General Rotating Charged Kaluza-Klein AdS Black Holes in Higher Dimensions
Shuang-Qing Wu
2011-08-21T23:59:59.000Z
I construct exact solutions for general nonextremal rotating, charged Kaluza-Klein black holes with a cosmological constant and with arbitrary angular momenta in all higher dimensions. I then investigate their thermodynamics and find their generalizations with the NUT charges. The metrics are given in both Boyer-Lindquist coordinates and a form very similar to the famous Kerr-Schild ansatz, which highlights its potential application to include multiple electric charges into solutions yet to be found in gauged supergravity. It is also observed that the metric ansatz in $D = 4$ dimensions is similar to those previously suggested by Yilmaz and later by Bekenstein.
Football Shaped Extra Dimensions and the Absence of Self-Tuning
Jaume Garriga; Massimo Porrati
2004-06-28T23:59:59.000Z
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
2004-01-01T23:59:59.000Z
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
2009-12-23T23:59:59.000Z
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 $m=1,2,...,24$.
Omar Maj
2008-02-12T23:59:59.000Z
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.
Using Muonic Hydrogen in Optical Spectroscopy Experiment to Detect Extra Dimensions
Feng Luo; Hongya Liu
2006-02-23T23:59:59.000Z
Considering that gravitational force might deviate from Newton's inverse-square law (ISL) and become much stronger in small scale, we propose a kind of optical spectroscopy experiment to detect this possible deviation and take electronic, muonic and tauonic hydrogen atoms as examples. This experiment might be used to indirectly detect the deviation of ISL down to nanometer scale and to explore the possibility of three extra dimensions in ADD's model, while current direct gravity tests cannot break through micron scale and go beyond two extra dimensions scenario.
Lower Bounds on the Exchange-Correlation Energy in Reduced Dimensions
Räasänen, E; Capelle, K; Proetto, C R
2009-01-01T23:59:59.000Z
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.
Trace Anomaly and Dimension Two Gluon Condensate Above the Phase Transition
Megias,E.; Ruiz Arriola, E.; Salcedo, L.L.
2008-02-04T23:59:59.000Z
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.
New bounds for the free energy of directed polymers in dimension 1+1 and 1+2
Hubert Lacoin
2009-11-19T23:59:59.000Z
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.
Neutrinoless double beta decay constrained by the existence of large extra dimensions
Marek Gó?d?; W. A. Kami?ski
2012-01-05T23:59:59.000Z
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.
DISPERSIVE ESTIMATES FOR SCHR ODINGER OPERATORS IN DIMENSION TWO WITH OBSTRUCTIONS AT ZERO ENERGY
Erdogan, Mehmet
DISPERSIVE ESTIMATES FOR SCHR Â¨ODINGER OPERATORS IN DIMENSION TWO WITH OBSTRUCTIONS AT ZERO ENERGY for the SchrÂ¨odinger operator H = -+V when there are obstructions, resonances or an eigenvalue, at zero energy. In particular, we show that the existence of an s-wave resonance at zero energy does not destroy the t-1 decay
Energy Harvesting Enabled Wireless Sensor Networks: Energy Model and Battery Dimensioning
Politècnica de Catalunya, Universitat
, the random nature of the power sources implies that the energy storage unit might not be able to guarantee of the harvesting process and the energy storage capacity. A typical solution to reduce this loss probability is an over-dimensioning of the energy storage capacity, which implies a very large overhead in both volume
Variable selection using Adaptive Non-linear Interaction Structures in High dimensions
Radchenko, Peter
superior predictive performance over other approaches. Some key words: Non-Linear Regression; InteractionsVariable selection using Adaptive Non-linear Interaction Structures in High dimensions Peter a tra- ditional linear regression model in which the number of predictors, p, is large relative
Large time behaviour of mild solutions of Hamilton-Jacobi-Bellman equations in infinite dimension
Boyer, Edmond
Large time behaviour of mild solutions of Hamilton-Jacobi-Bellman equations in infinite dimension by a probabilistic approach Ying Hu Pierre-Yves Madec Adrien Richou June 22, 2014 Abstract We study the large time We are concerned with the large time behaviour of solutions of the Cauchy problem in an infinite
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
Ecology and the ratchet of events: Climate variability, niche dimensions, and species distributions
Ecology and the ratchet of events: Climate variability, niche dimensions, and species distributionsDepartment of Botany and Program in Ecology and dWyoming Water Resources Data System and Wyoming State Climate Office superimposed on anthropogenic trends. Predicting ecological and biogeographic responses to these changes
Coupling a Self-Dual Tensor to Gravity in Six Dimensions
John H. Schwarz
1997-01-03T23:59:59.000Z
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.
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
Extreme-value statistics of dimensions determining an observer's branch of the world?
Lutz Polley
2010-11-16T23:59:59.000Z
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.
Paris-Sud XI, Université de
The dimension of confessionalisation in the Ottoman Balkans at the time of Nationalisms Nathalie identities. However, particularly as far as the Balkan "Christian" nationalisms are concerned, many studies,version1-11Feb2012 Author manuscript, published in "Conflicting loyalties in the Balkans. The Great Powers
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
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)
2013-12-15T23:59:59.000Z
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)
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
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
Castorina, P.; Zappala, D. [Department of Physics, University of Catania and INFN Sezione di Catania, Via S. Sofia 64, I 95123, Catania (Italy); INFN Sezione di Catania, Via S. Sofia 64, I 95123, Catania (Italy)
2008-01-15T23:59:59.000Z
The spontaneous breaking of translational invariance in noncommutative self-interacting scalar field theory in two dimensions is investigated by effective action techniques. The analysis confirms the existence of the stripe phase, already observed in lattice simulations, due to the nonlocal nature of the noncommutative dynamics.
Hausdorff dimension, fractional spin particles and Chern-Simons effective potential
Wellington da Cruz
1998-02-19T23:59:59.000Z
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.
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
Agmon, Noam
on the level of the manybody theory employed. The survival probability in the simple ``Superposition Approxi problem'' 6 of a static A molecule, the Smoluchowski theory is actually exact. Even when A is mobile, the devia tions from the theory are small, 6,7 particularly in higher di mensions #e.g., three dimensions
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
New Chern-Simons densities in both odd and even dimensions
Radu, Eugen
2011-01-01T23:59:59.000Z
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
2011-01-26T23:59:59.000Z
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.
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
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
Bounds on the k-dimension of Products of Special Posets
Baym, Michael Hartmann
Trotter conjectured that dimP×Q?dimP+dimQ?2 for all posets P and Q. To shed light on this, we study the k-dimension of products of finite orders. For k???o(ln n), the value 2dimk(P)?dimk(P×P) is unbounded when P is an ...
MAX3SAT Is Exponentially Hard to Approximate If NP Has Positive Dimension
Hitchcock, John
. We will use the hypothesis that NP has positive p-dimension, dimp(NP) > 0. This hypothesis is implied by Âµp(NP) = 0 and implies P = NP. Under the hypothesis dimp(NP) > 0, we give an exponential-time lower but a subexponentially- dense set of satisfiable instances. Put another way, we prove: If dimp(NP) > 0, then any
Unified N=2 Maxwell-Einstein and Yang-Mills-Einstein Supergravity Theories in Four Dimensions
Günaydin, M; Zagermann, M
2005-01-01T23:59:59.000Z
We study unified N=2 Maxwell-Einstein supergravity theories (MESGTs) and unified Yang-Mills Einstein supergravity theories (YMESGTs) in four dimensions. As their defining property, these theories admit the action of a global or local symmetry group that is (i) simple, and (ii) acts irreducibly on all the vector fields of the theory, including the ``graviphoton''. Restricting ourselves to the theories that originate from five dimensions via dimensional reduction, we find that the generic Jordan family of MESGTs with the scalar manifolds [SU(1,1)/U(1)] X [SO(2,n)/SO(2)X SO(n)] are all unified in four dimensions with the unifying global symmetry group SO(2,n). Of these theories only one can be gauged so as to obtain a unified YMESGT with the gauge group SO(2,1). Three of the four magical supergravity theories defined by simple Euclidean Jordan algebras of degree 3 are unified MESGTs in four dimensions. Two of these can furthermore be gauged so as to obtain 4D unified YMESGTs with gauge groups SO(3,2) and SO(6,2)...
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
Pansu, Pierre
Metric problems in sub-Riemannian geometry Gromov's dimension approach to the H¨older equivalence problem Gromov's cochain approach to the H¨older equivalence problem Rumin's complex Quasisymmetric H¨older-Lipschitz equivalence problem Differential forms and the H¨older equivalence problem P. Pansu September 1st, 2014 P
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
Kurapov, Alexander
Amenity migration: diverse conceptualizations of drivers, socioeconomic dimensions, and emerging. Amenity migration, the movement of people based on the draw of natural and/or cultural ameni- ties, can of rural communities. In concert with other social, economic and political processes, amenity migration
Yu, Edward T.
Calculation of critical dimensions for wurtzite and cubic zinc blende coaxial nanowire-shell heterostructures in 111 zinc blende and 0001 wurtzite geometries. These calculations reveal that critical wurtzite nanowire systems. In this article we extend this methodology to explore and contrast coherency
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)
2009-12-29T23:59:59.000Z
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
WAVELET SAMPLING AND LOCALIZATION SCHEMES FOR THE RADON TRANSFORM IN TWO DIMENSIONS
Virginia Tech
WAVELET SAMPLING AND LOCALIZATION SCHEMES FOR THE RADON TRANSFORM IN TWO DIMENSIONS SHIYING ZHAO. 57, No. 6, pp. 17491762, December 1997 013 Abstract. Two theorems are presented for wavelet-norm between the Radon transform and its wavelet approximation whose coefficients at different scales
Green's Function for a Hierarchical Self-Avoiding Walk in Four Dimensions
Green's Function for a Hierarchical Self-Avoiding Walk in Four Dimensions David C. Brydges #3 . Apart from completing the program in the #12;rst paper, the main result is that the Green's function is almost equal to the Green's function for the Markov process with no self-repulsion, but at a di#11;erent
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
Evaluation of the first Coulomb Bridge in three dimensions Y. Furutani (*), C. Deutsch
Paris-Sud XI, Université de
of point charges interacting via the Coulomb law in the presence of a neutralizing and mechanically rigidL-285 Evaluation of the first Coulomb Bridge in three dimensions Y. Furutani (*), C. Deutsch to study equilibrium and transport pro- perties in classical and more realistic strongly coupled Coulomb
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
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
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
Alternatives to the Seesaw: Extra Z's and Constraints on Large Extra Dimensions
Paul Langacker
2003-04-10T23:59:59.000Z
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.
Long-ranged forces and energy non-conservation in (1+1)-dimensions
V. A. Rubakov
1997-11-18T23:59:59.000Z
We consider whether local and causal non-conservation of energy may occur in generally covariant theories with long-ranged fields (analogs of Newton's gravity) whose source is energy--momentum. We find that such a possibility exists in (1+1) dimensions.
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
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)
2006-06-19T23:59:59.000Z
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
Global dimensions of endomorphism algebras for generator-cogenerators over $m$-replicated algebras
Lv, Hongbo
2008-01-01T23:59:59.000Z
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 $A^{(m)}$.
Determining the intrinsic dimension of a hyperspectral image using Random Matrix Theory
Damelin, Steven
chemical unmixing [1], extracting speech signals in a noisy line [2], unmixing minerals [3] and unmixing dimension of a hyper- spectral image is an important step in the spectral unmixing process and under the number of sources in a signal is important for the processing of many different types of data, including
A parameter free approach for determining the intrinsic dimension of a hyperspectral image using
Damelin, Steven
chemical unmixing [1], extracting speech signals in a noisy line [2], unmixing minerals [3] and unmixing--Determining the intrinsic dimension of a hyper- spectral image is an important step in the spectral unmixing process the number of sources in a signal is important for the processing of many different types of data, including
INFLUENCE DES DIMENSIONS DE GRAINS SUR L'ANOMALIE DE LA RSISTIVIT DU NICKEL
Boyer, Edmond
L-223 INFLUENCE DES DIMENSIONS DE GRAINS SUR L'ANOMALIE DE LA RÉSISTIVITÉ DU NICKEL AUTOUR DU POINT. 2014 Les mesures de résistivité effectuées sur du nickel formé de cristaux très petits (15 Å, 25 Å) ont grain-sized nickel (15 Å, 25 Å). The critical exponent 03BD and the constant 03BE0 are computed. Results
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
2005-09-01T23:59:59.000Z
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 the Weyl Tensor Classification in All Dimensions and its Relation with Integrability Properties
Carlos Batista
2013-04-27T23:59:59.000Z
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.
Prasanta Kumar Das; V H Satheeshkumar; P. K. Suresh
2008-08-20T23:59:59.000Z
In large extra dimensional Kaluza-Klein (KK) scenario, where the usual Standard Model (SM) matter is confined to a 3+1-dimensional hypersurface called the 3-brane and gravity can propagate to the bulk (D=4+d, d being the number of extra spatial dimensions), the light graviton KK modes can be produced inside the supernova core due to the usual nucleon-nucleon bremstrahlung, electron-positron and photon-photon annihilations. This photon inside the supernova becomes plasmon due to the plasma effect. In this paper, we study the energy-loss rate of SN 1987A due to the KK gravitons produced from the plasmon-plasmon annihilation. We find that the SN 1987A cooling rate leads to the conservative bound $M\\_D$ > 22.9 TeV and 1.38 TeV for the case of two and three space-like extra dimensions.
Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss' law
Martin Bureš; Petr Siegl
2014-09-30T23:59:59.000Z
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.
Reconstruction of ionization probabilities from spatially averaged data in N dimensions
Strohaber, J.; Kolomenskii, A. A.; Schuessler, H. A. [Department of Physics, Texas A and M University, College Station, Texas 77843-4242 (United States)
2010-07-15T23:59:59.000Z
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.
BSM Primary Effects: The complete set of predictions from the dimension-6 BSM Lagrangian
Rick S. Gupta
2014-07-31T23:59:59.000Z
We present a physical parameterization of the leading effects beyond the SM (BSM), that give us, at present, the best way to constrain heavy new-physics at low-energies. We call these effects that constrain all possible interactions at the dimension 6 level, BSM Primary effects; there are 8 primaries related to Higgs physics, 3 related to Triple Gauge Couplings and 7 related to Z- pole measurements at LEP. Starting from these experimentally measurable deformations (and not operators), we construct the dimension 6 Lagrangian in a bottom up way. We, thus, show that other BSM effects are not independent from the primary ones and we provide the explicit correlations. We also discuss the theoretical expectation for the size of these BSM primaries in some well-motivated BSM theories.
Statistics of the gravitational force in various dimensions of space: from Gaussian to Levy laws
Pierre-Henri Chavanis
2009-07-28T23:59:59.000Z
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.
Prime affine algebras of GK dimension two which are almost PI algebras
Moskowicz, Vered
2011-01-01T23:59:59.000Z
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.
On Thermodynamics of AdS Black Holes in Arbitrary Dimensions
A. Belhaj; M. Chabab; H. El Moumni; M. B. Sedra
2012-09-23T23:59:59.000Z
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.
Search for large extra spatial dimensions in dimuon production at D0
Abazov, V.M.; Abbott, B.; Abolins, M.; Acharya, B.S.; Adams, M.; Adams, T.; Agelou, M.; Agram, J.-L.; Ahn, S.H.; Ahsan, M.; Alexeev, G.D.; Alkhazov, G.; Alton, A.; Alverson, G.; Alves, G.A.; Anastasoaie, M.; Andeen, T.; Anderson, S.; Andrieu, B.; Arnoud, Y.; Askew, A.; /Buenos Aires U. /Rio de Janeiro, CBPF /Rio de Janeiro State U. /Sao
2005-06-01T23:59:59.000Z
We present the results of a search for the e.ects of large extra spatial dimensions in p{bar p} collisions at {radical}s = 1.96 TeV in events containing a pair of energetic muons. The data correspond to 246 pb{sup -1} of integrated luminosity collected by the D0 experiment at the Fermilab Tevatron Collider. Good agreement with the expected background was found, yielding no evidence for large extra dimensions. We set 95% C.L. lower limits on the fundamental Planck scale between 0.85 TeV and 1.27 TeV within several formalisms. These are the most stringent limits achieved in the dimuon channel to date.
Quantization of Space and Time in 3 and in 4 Space-time Dimensions
G. 't Hooft
1996-08-16T23:59:59.000Z
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.
SU(N) gauge theories in 2+1 dimensions -- further results
B. Lucini; M. Teper
2002-06-24T23:59:59.000Z
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.
Family symmetry and single right-handed neutrino dominance in five dimensions
Eisele, Marc-Thomas; Haba, Naoyuki [Physik-Department, Technische Universitaet Muenchen, James-Franck-Strasse, 85748 Garching (Germany)
2006-10-01T23:59:59.000Z
We consider several neutrino mass models in an extra-dimensional setting on a quantitative level. All the models are set in a five-dimensional scenario, with the standard model (SM) particles living on a brane, while three additional SM gauge singlets live in the bulk of an extra dimension, which is compactified on a S{sup 1}/Z{sub 2} orbifold. The spontaneous breaking of an additional, continuous U(1) family symmetry is used to generate suitable neutrino mass matrices via single right-handed neutrino dominance through the corresponding five-dimensional extension of the seesaw mechanism. In this manner, possible problems of this combination for some models in four dimensions could be overcome. The considered models differ with respect to the charges under the family symmetry and the nature of the five-dimensional Majorana mass term.
Reducible Quantum Electrodynamics. I. The Quantum Dimension of the Electromagnetic Field
Jan Naudts
2015-05-30T23:59:59.000Z
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.
Eigenvalue repulsion in an effective theory of SU(2) Wilson lines in three dimensions
Adrian Dumitru; Dominik Smith
2012-07-04T23:59:59.000Z
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.
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
2014-09-09T23:59:59.000Z
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.
New Einstein Metrics in Dimension Five Charles P. Boyer Krzysztof Galicki
New Einstein Metrics in Dimension Five Charles P. Boyer Krzysztof Galicki Abstract: The purpose of this note is to prove the existence of new SasakianÂEinstein metÂ rics on S 2 \\ThetaS 3 and on (S 2 \\ThetaS 3 )#(S 2 \\ThetaS 3 ): These give the first known examples of nonÂregular SasakianÂEinstein 5
Black hole radiation of spin-1 particles in (1+2) dimensions
S. I. Kruglov
2014-11-26T23:59:59.000Z
The radiation of vector particles by black holes in (1+2) dimensions is investigated within the WKB approximation. We consider the process of quantum tunnelling of bosons through an event horizon of the black hole. The emission temperature for the Schwarzschild background geometry coincides with the Hawking temperature and for the Rindler spacetime the temperature is the Unruh temperature. We also obtain the radiation temperatures for the de Sitter spacetime.
PACKING DIMENSION OF THE RANGE OF A LEVY PROCESS DAVAR KHOSHNEVISAN AND YIMIN XIAO
Khoshnevisan, Davar
, normalized so that E[exp(izX(t))] = exp(-t(z)) for all t 0 and z Rd , and let dimP denote the packing dimension (Tricot, 1982; Sullivan, 1984). Taylor (1986) has proved that with probability one, dimP X([0 , 1 is to describe = dimP X([0 , 1]) more explicitly than (0.1), and solely in terms of the LÂ´evy exponent . For all
Simple thermodynamics of strongly coupled one-component-plasma in two and three dimensions
Khrapak, Sergey A., E-mail: Sergey.Khrapak@dlr.de [Forschungsgruppe Komplexe Plasmen, Deutsches Zentrum für Luft- und Raumfahrt, Oberpfaffenhofen (Germany); Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow (Russian Federation); Khrapak, Alexey G. [Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow (Russian Federation)
2014-10-15T23:59:59.000Z
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.
Effect of uneven sampling on correlation dimension computed from time series data
Sandip V. George; G. Ambika; R. Misra
2014-10-16T23:59:59.000Z
Observational data, especially astrophysical data, is often limited by uneven sampling that arises due to lack of observations for a variety of reasons. Such inadvertent gaps are usually smoothed over using interpolation techniques. However the smoothing techniques can introduce artificial effects, especially when non-linear analysis is undertaken. We investigate how uneven sampling can affect the computed values of correlation dimension of the system, without using any interpolation. For this we introduce gaps artificially in synthetic data derived from standard chaotic systems, like the Rossler and Lorenz, with frequency of occurrence and size of missing data drawn from Gaussian distributions. Then we study the changes in correlation dimension with change in the distributions of frequency of gaps introduced and size of data removed. We find that for a considerable range of gap frequency and size, the value of correlation dimension is not significantly affected. This would mean that in such specific cases, the calculated values can still be reliable and acceptable. Thus our study introduces a method of checking the reliability of computed correlation dimension values by calculating the distribution of gaps with respect to its size and frequency and comparing with the standard plots presented in the paper. This is illustrated for real world examples of the data from three variable stars, R Scuti, U Monocerotis and SU Tauri. We also demonstrate how a cubic spline interpolation can cause an unevenly sampled noisy data to be misinterpreted as being chaotic in origin. This is demonstrated for the non chaotic light curve of variable star SS Cygni, which gives a saturated D2 value, when interpolated using a cubic spline.
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)
2015-01-01T23:59:59.000Z
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.
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
2013-01-01T23:59:59.000Z
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.
The effective chiral Lagrangian from dimension-six parity and time-reversal violation
Vries, J. de, E-mail: devries.jordy@gmail.com [KVI, Theory Group, University of Groningen, 9747 AA Groningen (Netherlands); Nikhef, Science Park 105, 1098 XG Amsterdam (Netherlands); Mereghetti, E. [Ernest Orlando Lawrence Berkeley National Laboratory, University of California, Berkeley, CA 94720 (United States)] [Ernest Orlando Lawrence Berkeley National Laboratory, University of California, Berkeley, CA 94720 (United States); Timmermans, R.G.E. [KVI, Theory Group, University of Groningen, 9747 AA Groningen (Netherlands)] [KVI, Theory Group, University of Groningen, 9747 AA Groningen (Netherlands); Kolck, U. van [Institut de Physique Nucléaire, Université Paris Sud, CNRS/IN2P3, 91406 Orsay (France) [Institut de Physique Nucléaire, Université Paris Sud, CNRS/IN2P3, 91406 Orsay (France); Department of Physics, University of Arizona, Tucson, AZ 85721 (United States)
2013-11-15T23:59:59.000Z
We classify the parity- and time-reversal-violating operators involving quark and gluon fields that have effective dimension six: the quark electric dipole moment, the quark and gluon chromo-electric dipole moments, and four four-quark operators. We construct the effective chiral Lagrangian with hadronic and electromagnetic interactions that originate from them, which serves as the basis for calculations of low-energy observables. The form of the effective interactions depends on the chiral properties of these operators. We develop a power-counting scheme and calculate within this scheme, as an example, the parity- and time-reversal-violating pion–nucleon form factor. We also discuss the electric dipole moments of the nucleon and light nuclei. -- Highlights: •Classification of T-odd dimension-six sources based on impact on observables. •Building of the chiral Lagrangian for each dimension-six source. •Calculation of the PT-odd pion–nucleon form factor for each source. •Discussion of hadronic EDMs for each source and comparison with the theta term.
$D$-dimensions Dirac fermions BEC-BCS cross-over thermodynamics
Ji-sheng Chen
2006-11-06T23:59:59.000Z
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
Paul R. Archer; Marcela Carena; Adrian Carmona; Matthias Neubert
2015-01-15T23:59:59.000Z
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.
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
2015-01-01T23:59:59.000Z
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
DeBartolo, Jack, III
1994-01-01T23:59:59.000Z
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 ...
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 ...
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)
2013-09-20T23:59:59.000Z
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.
Sergey V. Yakovlev
2011-12-21T23:59:59.000Z
Were investigated anisotropic metric of higher dimensional space-time with only cosmological term and scalar field. Showed, that presence of scalar field is equivalent to anisotropic metric in the multy dimensional space-time and proposed idea of dimensions generation by scalar field. Were solved Einstein's equations for higher dimensional space-time of Kazner's type and derived expressions for density of energy for scalar field, which generate additional dimensions, and proposed the procedure of renormalization of the metric.
E. Elizalde; S. D. Odintsov; A. A. Saharian
2011-02-10T23:59:59.000Z
We investigate the fermionic condensate and the vacuum expectation value of the energy-momentum tensor for a massive fermionic field in the geometry of two parallel plate on the background of Minkowski spacetime with an arbitrary number of toroidally compactified spatial dimensions, in the presence of a constant gauge field. Bag boundary conditions are imposed on the plates and periodicity conditions with arbitrary phases are considered along the compact dimensions. The boundary induced parts in the fermionic condensate and the vacuum energy density are negative, with independence of the phases in the periodicity conditions and of the value of the gauge potential. Interaction forces between the plates are thus always attractive. However, in physical situations where the quantum field is confined to the region between the plates, the pure topological part contributes as well, and then the resulting force can be either attractive or repulsive, depending on the specific phases encoded in the periodicity conditions along the compact dimensions, and on the gauge potential, too. Applications of the general formulas to cylindrical carbon nanotubes are considered, within the framework of a Dirac-like theory for the electronic states in graphene. In the absence of a magnetic flux, the energy density for semiconducting nanotubes is always negative. For metallic nanotubes the energy density is positive for long tubes and negative for short ones. The resulting Casimir forces acting on the edges of the nanotube are attractive for short tubes with independence of the tube chirality. The sign of the force for long nanotubes can be controlled by tuning the magnetic flux. This opens the way to the design of efficient actuators driven by the Casimir force at the nanoscale.
The cone of Betti diagrams over a hypersurface ring of low embedding dimension
Berkesch, Christine; Erman, Daniel; Gibbons, Courtney
2011-01-01T23:59:59.000Z
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.
A comparative study of Dirac quasinormal modes of charged black holes in higher dimensions
Sayan K. Chakrabarti
2009-03-26T23:59:59.000Z
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.
Non-local correction to the energy-momentum tensor for $?^{3}$ theory in six dimensions
Feng Wu
2015-05-07T23:59:59.000Z
Applying the background field method, we construct by explicit computation the leading-order nonlocal quantum correction to the on-shell effective action for $\\phi^3$ theory in six dimensions. We then use the resulting action to obtain the nonlocal correction to the energy-momentum tensor. At leading order, we find that this nonlocal correction modified the virial current when the scalar field is minimally coupled to gravity. On the contrary, it only corrects the traceless part of the energy-momentum tensor in the classically Weyl invariant case.
Overdamped thermal ratchets in one and more dimensions. Kinesin transport and protein folding
Ernesto Gonzalez-Candela; Victor Romero-Rochin
2006-05-26T23:59:59.000Z
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.
Thermodynamics of a charged hairy black hole in (2+1) dimensions
J. Sadeghi; H. Farahani
2013-08-07T23:59:59.000Z
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.
Pressure of the O(N) Model in 1+1 Dimensions
Francesco Giacosa; Stefano Lottini; Elina Seel; Dominik Smith
2012-10-28T23:59:59.000Z
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.
Tunneling of Vector Particles from Lorentzian Wormholes in 3+1 Dimensions
Sakalli, I
2015-01-01T23:59:59.000Z
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
2015-05-08T23:59:59.000Z
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.
Analytical solutions of a generalized non-central potential in N-dimensions
Durmus, Aysen, E-mail: aysend@erciyes.edu.tr [Department of Physics, Erciyes University, Kayseri 38039 (Turkey); Özfidan, Aysel [Institute of Science, Erciyes University, Kayseri 38039 (Turkey)
2014-10-15T23:59:59.000Z
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 Hausdorff dimension of fractal sets and fractional quantum Hall effect
Wellington da Cruz
2003-05-27T23:59:59.000Z
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...
Canonical Formulation of Gravitational Teleparallelism in 2+1 Dimensions in Schwinger's Time Gauge
A. A. Sousa; J. W. Maluf
2000-12-21T23:59:59.000Z
We consider the most general class of teleparallel gravitational {}{}theories quadratic in the torsion tensor, in three space-time dimensions, and carry out a detailed investigation of its Hamiltonian formulation in Schwinger's time gauge. This general class is given by a family of three-parameter theories. A consistent implementation of the Legendre transform reduces the original theory to a one-parameter family of theories. By calculating Poisson brackets we show explicitly that the constraints of the theory constitute a first-class set. Therefore the resulting theory is well defined with regard to time evolution. The structure of the Hamiltonian theory rules out the existence of the Newtonian limit.
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)
2014-10-13T23:59:59.000Z
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.
On Heat Properties of AdS Black Holes in Higher Dimensions
A. Belhaj; M. Chabab; H. EL Moumni; K. Masmar; M. B. Sedra; A. Segui
2015-07-01T23:59:59.000Z
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.
The high-temperature behavior for the directed polymer in dimension 1+2
Quentin Berger; Hubert Lacoin
2015-06-30T23:59:59.000Z
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 \\, .\\
Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
Loheac, A C; Drut, J E; Roscher, D
2015-01-01T23:59:59.000Z
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.
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.
2011-12-01T23:59:59.000Z
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.
Weapons proliferation and organized crime: The Russian military and security force dimension
Turbiville, G.H.
1996-06-01T23:59:59.000Z
One dimension of international security of the post-Cold War era that has not received enough attention is how organized crime facilitates weapons proliferation worldwide. The former Soviet Union (FSU) has emerged as the world`s greatest counterproliferation challenge. It contains the best developed links among organized crime, military and security organizations, and weapons proliferation. Furthermore, Russian military and security forces are the principle source of arms becoming available to organized crime groups, participants in regional conflict, and corrupt state officials engaged in the black, gray, and legal arms markets in their various dimensions. The flourishing illegal trade in conventional weapons is the clearest and most tangible manifestation of the close links between Russian power ministries and criminal organizations. The magnitude of the WMD proliferation problem from the FSU is less clear and less tangible. There have been many open reports of small-scale fissile material smuggling out of the FSU. The situation with regard to the proliferation of chemical weapon usually receives less attention but may be more serious. With an acknowledged stockpile of 40,000 metric tons of chemical agents, the potential for proliferation is enormous.
Accelerating universe from gravitational leakage into extra dimensions: confrontation with SNeIa
Zong-Hong Zhu; Jailson S. Alcaniz
2004-11-01T23:59:59.000Z
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.
Cornering dimension-6 $HVV$ interactions at high luminosity LHC: the role of event ratios
Banerjee, Shankha; Mellado, Bruce; Mukhopadhyaya, Biswarup
2015-01-01T23:59:59.000Z
We suggest a way of improving the probes on dimension-6 CP-conserving $HVV$ interactions ($V$ = $W$, $Z$, $\\gamma$), from the LHC data on the Higgs boson to be available in the 14 TeV run with an integrated luminosity of $3000$ fb$^{-1}$. We find that the ratios of total rates in different channels can be quite useful in this respect. This includes ratios of event rates in (a) different final states for the Higgs produced by the same production mechanism, and (b) the same final state from two different production modes. While most theoretical uncertainties cancel in the former, the latter helps in the case of those operators which shift the numerator and denominator in opposite directions. Our analysis, incorporating theoretical, systematic and statistical uncertainties, leads to projected limits that are better than the strongest ones obtained so far from precision electroweak as well as LHC Higgs data. Moreover, values of the coefficients of the dimension-6 operators, which are allowed in disjoint intervals...
Higgs Production and Decay in Models of a Warped Extra Dimension with a Bulk Higgs
Archer, Paul R; Carmona, Adrian; Neubert, Matthias
2015-01-01T23:59:59.000Z
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 ...
Proton decay via dimension-six operators in intersecting D6-brane models
Mirjam Cvetic; Robert Richter
2006-08-04T23:59:59.000Z
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.
Large Extra Dimension effects through Light-by-Light Scattering at the CERN LHC
Hao Sun
2014-07-31T23:59:59.000Z
Observing light-by-light scattering at the Large Hadron Collider (LHC) has received quite some attention and it is believed to be a clean and sensitive channel to possible new physics. In this paper, we study the diphoton production at the LHC via the process $\\rm pp\\rightarrow p\\gamma\\gamma p\\rightarrow p\\gamma\\gamma p$ through graviton exchange in the Large Extra Dimension (LED) model. Typically, when we do the background analysis, we also study the Double Pomeron Exchange (DPE) of $\\gamma\\gamma$ production. We compare its production in the quark-quark collision mode to the gluon-gluon collision mode and find that contributions from the gluon-gluon collision mode are comparable to the quark-quark one. Our result shows, for extra dimension $\\delta=4$, with an integrated luminosity $\\rm {\\cal L} = 200 fb^{-1}$ at the 14 TeV LHC, that diphoton production through graviton exchange can probe the LED effects up to the scale $\\rm M_S=5.06 (4.51, 5.11) TeV$ for the forward detector acceptance $\\xi_1 (\\xi_2, \\xi_3)$, respectively, where $0.00150.5$, $0.10.5$ and $0.0015<\\xi_3<0.15$.
Hur, Jin [School of Computational Sciences, Korea Institute for Advanced Study, Seoul 130-012 (Korea, Republic of); Min, Hyunsoo [Department of Physics, University of Seoul, Seoul 130-743 (Korea, Republic of); School of Physics, Korea Institute for Advanced Study, Seoul 130-012 (Korea, Republic of)
2008-06-15T23:59:59.000Z
Recently the partial-wave cutoff method was developed as a new calculational scheme for a functional determinant of quantum field theory in radial backgrounds. For the contribution given by an infinite sum of large partial waves, we derive explicitly radial-WKB series in the angular momentum cutoff for d=2, 3, 4, and 5 (d is the space-time dimension), which has uniform validity irrespectively of any specific values assumed for other parameters. Utilizing this series, precision evaluation of the renormalized functional determinant is possible with a relatively small number of low partial-wave contributions determined separately. We illustrate the power of this scheme in a numerically exact evaluation of the prefactor (expressed as a functional determinant) in the case of the false vacuum decay of 4D scalar field theory.
Non-local gravity in D-dimensions: Propagator, entropy and bouncing Cosmology
Conroy, Aindriu; Talaganis, Spyridon; Teimouri, Ali
2015-01-01T23:59:59.000Z
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.
Is the Time a Dimension of an Alien Universe? (this hypothesis gives an additional redshift)
L. Ya. Kobelev
2000-05-25T23:59:59.000Z
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
2000-01-01T23:59:59.000Z
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.
Electric and magnetic screenings of gluons in a model with dimension-2 gluon condensate
Fukun Xu; Mei Huang
2011-11-22T23:59:59.000Z
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.
Ozgur Akarsu; Tekin Dereli; Nihan Katirci; Mikhail B. Sheftel
2015-05-04T23:59:59.000Z
In a recent study Akarsu and Dereli (Gen. Relativ. Gravit. 45:1211, 2013) discussed the dynamical reduction of a higher dimensional cosmological model which is augmented by a kinematical constraint characterized by a single real parameter, correlating and controlling the expansion of both the external (physical) and internal spaces. In that paper explicit solutions were found only for the case of three dimensional internal space ($n=3$). Here we derive a general solution of the system using Lie group symmetry properties, in parametric form for arbitrary number $n=1,2,3,\\dots$ of internal dimensions. We also investigate the dynamical reduction of the model as a function of cosmic time $t$ for various values of $n$ and generate parametric plots to discuss cosmologically relevant results.
Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results
Elina Seel; Dominik Smith; Stefano Lottini; Francesco Giacosa
2013-07-01T23:59:59.000Z
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.
Lagrange multiplier and Wess-Zumino variable as large extra dimensions in the torus universe
Nejad, Salman Abarghouei; Monemzadeh, Majid
2015-01-01T23:59:59.000Z
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.
Anomalous dimensions determine the power counting -- Wilsonian RG analysis of nuclear EFT --
Harada, K; Harada, Koji; Kubo, Hirofumi
2006-01-01T23:59:59.000Z
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
2006-10-24T23:59:59.000Z
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.
Neuronal micro-culture engineering by microchannel devices of cellular scale dimensions
Goyal, Gaurav
2015-01-01T23:59:59.000Z
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 ...
Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams
Sergey Bondarenko
2010-11-22T23:59:59.000Z
Toy models of interacting Pomerons with triple and quaternary Pomeron vertices in zero transverse dimension are investigated. Numerical solutions for eigenvalues and eigenfunctions of the corresponding Hamiltonians are obtained, providing the quantum solution for the scattering amplitude in both models. The equations of motion for the Lagrangians of the theories are also considered and the classical solutions of the equations are found. Full two-point Green functions ("effective" Pomeron propagator) and amplitude of diffractive dissociation process are calculated in the framework of RFT-0 approach. The importance of the loops contribution in the amplitude at different values of the model parameters is discussed as well as the difference between the models with and without quaternary Pomeron vertex.
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)
2006-11-15T23:59:59.000Z
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.
Jennifer M. Smillie; Bryan R. Webber
2007-02-21T23:59:59.000Z
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.
Free Energy and Plaquette expectation value for gluons on the lattice, in three dimensions
H. Panagopoulos; A. Skouroupathis; A. Tsapalis
2006-02-24T23:59:59.000Z
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.
Tilli, Andrea; Conficoni, Christian
2011-01-01T23:59:59.000Z
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...
Shearer's point process and the hard-sphere model in one dimension
Christoph Hofer-Temmel
2015-04-10T23:59:59.000Z
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.
Peffer, Therese; Arens, Edward A; Chen, Xue; Jang, Jaehwi; Auslander, David M.
2008-01-01T23:59:59.000Z
and Ed Arens. 2008. Demand Response-Enabled ResidentialEfficiency and Demand Response Programs for 2005/2006.The Human Dimension of Demand Response Enabling Technology
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
2015-08-12T23:59:59.000Z
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
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
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
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
Loudon, Catherine
transformed nearly every dimension of society, including business, government, science, and engineering (Drucker, 1959; Bereiter & Scardamalia, 1996). Yet in spite of such twenty-first century movements from core subjects. They really have changed little so far" (p. 3). The conservatism observed
Dunin-Borkowski, Rafal E.
transformations.7 Recent experimental reports confirm these predictions of domain wall movement8Quantitative determination of vortex core dimensions in head-to-head domain walls using off-dimensional characterization of vortex core spin structures, which is important for future magnetic data storage based
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
Christopher Shirley
2014-09-30T23:59:59.000Z
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.
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
2014-12-16T23:59:59.000Z
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.
Anacleto, M.A.; Gomes, M.; Silva, A.J. da; Spehler, D. [Instituto de Fisica, Universidade de Sao Paulo, Caixa Postal 66318, 05315-970, Sao Paulo, SP (Brazil)
2005-05-15T23:59:59.000Z
We study a noncommutative nonrelativistic fermionic field theory in 2+1 dimensions coupled to the Chern-Simons field. We perform a perturbative analysis of the model and show that up to one loop the ultraviolet divergences are canceled and the infrared divergences are eliminated by the noncommutative Pauli term.
I. Radinschi; Th. Grammenos
2005-08-01T23:59:59.000Z
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.
Phase transitions for N-electron atoms at the large-dimension limit Pablo Serra* and Sabre Kais
Kais, Sabre
that involve a nonzero latent heat and radical change of the structure of the material at the transition points. Second- order phase transitions are continuous phase changes where the properties of the system doPhase transitions for N-electron atoms at the large-dimension limit Pablo Serra* and Sabre Kais
HTS 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 generation, IPP hookups, and power import have resulted in requirements to upgrade existing transmission grid
Lilly, Jonathan
2011-01-01T23:59:59.000Z
://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
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
Gray, Wayne
dynamic corpora such as the World Wide Web. There have been some attempts to reduce the vector-based form to allow these measures to evaluate relatedness of multi-word terms (documents, paragraphs). We. With the resulting dimension sets, VGEM matches or outperforms the probability-based measure, while adding the multi-word
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
False vacuum decay by self-consistent bounces in four dimensions
Jurgen Baacke; Nina Kevlishvili
2006-10-31T23:59:59.000Z
We compute bounce solutions describing false vacuum decay in a Phi**4 model in four dimensions with quantum back-reaction. The back-reaction of the quantum fluctuations on the bounce profiles is computed in the one-loop and Hartree approximations. This is to be compared with the usual semiclassical approach where one computes the profile from the classical action and determines the one-loop correction from this profile. The computation of the fluctuation determinant is performed using a theorem on functional determinants, in addition we here need the Green' s function of the fluctuation operator in oder to compute the quantum back-reaction. As we are able to separate from the determinant and from the Green' s function the leading perturbative orders, we can regularize and renormalize analytically, in analogy of standard perturbation theory. The iteration towards self-consistent solutions is found to converge for some range of the parameters. Within this range the corrections to the semiclassical action are at most a few percent, the corrections to the transition rate can amount to several orders of magnitude. The strongest deviations happen for large couplings, as to be expected. Beyond some limit, there are no self-consistent bounce solutions.
False vacuum decay by self-consistent bounces in four dimensions
Baacke, Juergen; Kevlishvili, Nina [Institut fuer Physik, Universitaet Dortmund, D - 44221 Dortmund (Germany); Institut fuer Physik, Universitaet Dortmund, D - 44221 Dortmund (Germany) and Andronikashvili Institute of Physics, GAS, 0177 Tbilisi (Georgia)
2007-02-15T23:59:59.000Z
We compute bounce solutions describing false vacuum decay in a {phi}{sup 4} model in four dimensions with quantum backreaction. The backreaction of the quantum fluctuations on the bounce profiles is computed in the one-loop and Hartree approximations. This is to be compared with the usual semiclassical approach where one computes the profile from the classical action and determines the one-loop correction from this profile. The computation of the fluctuation determinant is performed using a theorem on functional determinants, in addition we here need the Green's function of the fluctuation operator in oder to compute the quantum backreaction. As we are able to separate from the determinant and from the Gree n's function the leading perturbative orders, we can regularize and renormalize analytically, in analogy of standard perturbation theory. The iteration towards self-consistent solutions is found to converge for some range of the parameters. Within this range the corrections to the semiclassical action are at most a few percent, the corrections to the transition rate can amount to several orders of magnitude. The strongest deviations happen for large couplings, as to be expected. The transition rates are reduced for the one-loop backreaction, for the Hartree backreaction they are reduced for {alpha} < or approx. 0.5 and enhanced for larger values of {alpha}. Beyond some limit, there are no self-consistent bounce solutions.
Point particles in 2+1 dimensions: general relativity and loop gravity descriptions
Jonathan Ziprick
2014-09-26T23:59:59.000Z
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.
Riccardo Adami; Diego Noja; Cecilia Ortoleva
2015-07-17T23:59:59.000Z
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.
Steven Abel; Chong-Sun Chu; Mark Goodsell
2006-09-27T23:59:59.000Z
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.
Murton, Mark; Bouchier, Francis A.; vanDongen, Dale T.; Mack, Thomas Kimball; Cutler, Robert Paul; Ross, Michael P.
2013-08-01T23:59:59.000Z
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.
On Effective Spacetime Dimension in the Ho\\v{r}ava-Lifshitz Gravity
Alencar, G; Cunha, M S; Muniz, C R
2015-01-01T23:59:59.000Z
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...
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)
2014-10-15T23:59:59.000Z
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.
$WWZ/?$ production in large extra dimensions model at LHC and ILC
Li Xiao-Zhou; Duan Peng-Fei; Ma Wen-Gan; Zhang Ren-You; Guo Lei
2012-11-06T23:59:59.000Z
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.
Einstein-Born-Infeld black holes with a scalar hair in three-dimensions
S. Habib Mazharimousavi; M. Halilsoy
2015-07-28T23:59:59.000Z
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.
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)
2014-06-15T23:59:59.000Z
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.
Guillermo Torres; David W. Latham; R. P. Stefanik
2007-03-12T23:59:59.000Z
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
2014-11-10T23:59:59.000Z
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.