Multi-fluid systems—Multi-Beltrami relaxed states and their implications

Mahajan, Swadesh M.; Lingam, Manasvi

doi:10.1063/1.4931069

Title: Multi-fluid systems—Multi-Beltrami relaxed states and their implications

Journal Article · Mon Sep 21 00:00:00 EDT 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4931069· OSTI ID:1229672

Mahajan, Swadesh M. ^[1]; Lingam, Manasvi ^[2]

Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, USA, Department of Physics, School of Natural Sciences, Shiv Nadar University, Uttar Pradesh 201314, India
Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, USA

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-04ER-54742

OSTI ID:: 1229672

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Vol. 22 Journal Issue: 9; ISSN 1070-664X

Publisher:: American Institute of PhysicsCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 33 works

Citation information provided by
Web of Science

References (69)

The Violation of the Taylor Hypothesis in Measurements of Solar wind Turbulence Klein, K. G.; Howes, G. G.; TenBarge, J. M. The Astrophysical Journal, Vol. 790, Issue 2 https://doi.org/10.1088/2041-8205/790/2/L20	journal	July 2014
Dynamics of Protoplanetary Disks Armitage, Philip J. Annual Review of Astronomy and Astrophysics, Vol. 49, Issue 1 https://doi.org/10.1146/annurev-astro-081710-102521	journal	September 2011
The degree of knottedness of tangled vortex lines Moffatt, H. K. Journal of Fluid Mechanics, Vol. 35, Issue 1 https://doi.org/10.1017/S0022112069000991	journal	January 1969
“Maximum” entropy production in self-organized plasma boundary layer: A thermodynamic discussion about turbulent heat transport Yoshida, Z.; Mahajan, S. M. Physics of Plasmas, Vol. 15, Issue 3 https://doi.org/10.1063/1.2890189	journal	March 2008
Helicity Redistribution during Relaxation of Astrophysical Plasmas Amari, T.; Luciani, J. F. Physical Review Letters, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevLett.84.1196	journal	February 2000
The effect of reconnection upon the linkage and interior structure of magnetic flux tubes Wright, Andrew N.; Berger, Mitchell A. Journal of Geophysical Research, Vol. 94, Issue A2 https://doi.org/10.1029/JA094iA02p01295	journal	January 1989
Relaxation and magnetic reconnection in plasmas Taylor, J. B. Reviews of Modern Physics, Vol. 58, Issue 3 https://doi.org/10.1103/RevModPhys.58.741	journal	July 1986
Generation of Flows in the Solar Atmosphere Due to Magnetofluid Coupling Mahajan, Swadesh M.; Nikol’skaya, Komunela I.; Shatashvili, Nana L. The Astrophysical Journal, Vol. 576, Issue 2 https://doi.org/10.1086/343727	journal	September 2002
Enhanced Angular Momentum Transport in Accretion Disks Balbus, Steven A. Annual Review of Astronomy and Astrophysics, Vol. 41, Issue 1 https://doi.org/10.1146/annurev.astro.41.081401.155207	journal	September 2003
Solar coronal heating by relaxation events Browning, P. K. Astronomy & Astrophysics, Vol. 400, Issue 1 https://doi.org/10.1051/0004-6361:20021887	journal	February 2003
Grain Dynamics in Magnetized Interstellar Gas Lazarian, A.; Yan, Huirong The Astrophysical Journal, Vol. 566, Issue 2 https://doi.org/10.1086/339675	journal	February 2002
Helicity injection and relaxation in a solar-coronal magnetic loop with a free surface Browning, P. K. Journal of Plasma Physics, Vol. 40, Issue 2 https://doi.org/10.1017/S002237780001326X	journal	October 1988
Temperature-Transformed “Minimal Coupling”: Magnetofluid Unification Mahajan, S. M. Physical Review Letters, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevLett.90.035001	journal	January 2003
Formation and primary heating of the solar corona: Theory and simulation Mahajan, S. M.; Miklaszewski, R.; Nikol’skaya, K. I. Physics of Plasmas, Vol. 8, Issue 4 https://doi.org/10.1063/1.1350670	journal	January 2001
Self-organization processes in continuous media Hasegawa, Akira Advances in Physics, Vol. 34, Issue 1 https://doi.org/10.1080/00018738500101721	journal	January 1985
Vortical Dynamics of Spinning Quantum Plasmas: Helicity Conservation Mahajan, Swadesh M.; Asenjo, Felipe A. Physical Review Letters, Vol. 107, Issue 19 https://doi.org/10.1103/PhysRevLett.107.195003	journal	November 2011
Planet Formation Lissauer, Jack J. Annual Review of Astronomy and Astrophysics, Vol. 31, Issue 1 https://doi.org/10.1146/annurev.aa.31.090193.001021	journal	September 1993
Relaxation of spheromak plasmas toward a minimum-energy state and global magnetic fluctuations Janos, A.; Hart, G. W.; Yamada, M. Physical Review Letters, Vol. 55, Issue 26 https://doi.org/10.1103/PhysRevLett.55.2868	journal	December 1985
Conservation of Magnetic Helicity during Plasma Relaxation Ji, H.; Prager, S. C.; Sarff, J. S. Physical Review Letters, Vol. 74, Issue 15 https://doi.org/10.1103/PhysRevLett.74.2945	journal	April 1995
Relaxation of a Two-Specie Magnetofluid Steinhauer, L. C.; Ishida, A. Physical Review Letters, Vol. 79, Issue 18 https://doi.org/10.1103/PhysRevLett.79.3423	journal	November 1997
Woltjer-Taylor State without Taylor’s Conjecture: Plasma Relaxation at all Wavelengths Qin, Hong; Liu, Wandong; Li, Hong Physical Review Letters, Vol. 109, Issue 23 https://doi.org/10.1103/PhysRevLett.109.235001	journal	December 2012
Instability, turbulence, and enhanced transport in accretion disks Balbus, Steven A.; Hawley, John F. Reviews of Modern Physics, Vol. 70, Issue 1 https://doi.org/10.1103/RevModPhys.70.1	journal	January 1998
Modelling astrophysical outflows via the unified dynamo–reverse dynamo mechanism Lingam, Manasvi; Mahajan, Swadesh M. Monthly Notices of the Royal Astronomical Society: Letters, Vol. 449, Issue 1 https://doi.org/10.1093/mnrasl/slv017	journal	February 2015
A collisionless self-organizing model for the high-confinement (H-mode) boundary layer Mahajan, S. M.; Yoshida, Z. Physics of Plasmas, Vol. 7, Issue 2 https://doi.org/10.1063/1.873850	journal	February 2000
Scale hierarchy created in plasma flow Yoshida, Z.; Mahajan, S. M.; Ohsaki, S. Physics of Plasmas, Vol. 11, Issue 7 https://doi.org/10.1063/1.1762877	journal	July 2004
Demonstration of helicity conservation during magnetic reconnection using Christmas ribbons Pfister, Hans; Gekelman, Walter American Journal of Physics, Vol. 59, Issue 6 https://doi.org/10.1119/1.16808	journal	June 1991
Relaxation of Toroidal Plasma and Generation of Reverse Magnetic Fields Taylor, J. B. Physical Review Letters, Vol. 33, Issue 19 https://doi.org/10.1103/PhysRevLett.33.1139	journal	November 1974
Application of Double Beltrami states to solar eruptions: Double Beltrami states and solar eruptions Kagan, D.; Mahajan, S. M. Monthly Notices of the Royal Astronomical Society https://doi.org/10.1111/j.1365-2966.2010.16741.x	journal	May 2010
Magnetic fields in protoplanetary disks Wardle, Mark Astrophysics and Space Science, Vol. 311, Issue 1-3 https://doi.org/10.1007/s10509-007-9575-8	journal	August 2007
Remarkable connections between extended magnetohydrodynamics models Lingam, M.; Morrison, P. J.; Miloshevich, G. Physics of Plasmas, Vol. 22, Issue 7 https://doi.org/10.1063/1.4926821	journal	July 2015
Control of star formation by supersonic turbulence Mac Low, Mordecai-Mark; Klessen, Ralf S. Reviews of Modern Physics, Vol. 76, Issue 1 https://doi.org/10.1103/RevModPhys.76.125	journal	January 2004
Acceleration of Plasma Flows Due to Reverse Dynamo Mechanism Mahajan, Swadesh M.; Shatashvili, Nana L.; Mikeladze, Solomon V. The Astrophysical Journal, Vol. 634, Issue 1 https://doi.org/10.1086/432867	journal	November 2005
Theory of Star Formation McKee, Christopher F.; Ostriker, Eve C. Annual Review of Astronomy and Astrophysics, Vol. 45, Issue 1 https://doi.org/10.1146/annurev.astro.45.051806.110602	journal	September 2007
The topological properties of magnetic helicity Berger, Mitchell A.; Field, George B. Journal of Fluid Mechanics, Vol. 147, Issue -1 https://doi.org/10.1017/S0022112084002019	journal	October 1984
Double Curl Beltrami Flow: Diamagnetic Structures Mahajan, S. M.; Yoshida, Z. Physical Review Letters, Vol. 81, Issue 22 https://doi.org/10.1103/PhysRevLett.81.4863	journal	November 1998
Role of the Hall Current in Magnetohydrodynamic Dynamos Mininni, Pablo D.; Gomez, Daniel O.; Mahajan, Swadesh M. The Astrophysical Journal, Vol. 584, Issue 2 https://doi.org/10.1086/345777	journal	February 2003
Dissipative effects in magnetohydrodynamical models with intrinsic magnetization Lingam, Manasvi Communications in Nonlinear Science and Numerical Simulation, Vol. 28, Issue 1-3 https://doi.org/10.1016/j.cnsns.2015.04.015	journal	November 2015
Relativistic magnetosonic shock waves in synchrotron sources - Shock structure and nonthermal acceleration of positrons Hoshino, Masahiro; Arons, Jonathan; Gallant, Yves A. The Astrophysical Journal, Vol. 390 https://doi.org/10.1086/171296	journal	May 1992
On the Problem of Magnetic Coronal Heating by Turbulent Relaxation Vekstein, G. E.; Priest, E. R.; Steele, C. D. C. The Astrophysical Journal, Vol. 417 https://doi.org/10.1086/173358	journal	November 1993
Magnetic fluctuations and Hall magnetohydrodynamic turbulence in the solar wind Krishan, V. Journal of Geophysical Research, Vol. 109, Issue A11 https://doi.org/10.1029/2004JA010496	journal	January 2004
A solar flare triggering mechanism based on the Woltjer-Taylor minimum energy principle Kusano, K.; Suzuki, Y.; Nishikawa, K. The Astrophysical Journal, Vol. 441 https://doi.org/10.1086/175413	journal	March 1995
Some improvements in the theory of plasma relaxation Hameiri, Eliezer Physics of Plasmas, Vol. 21, Issue 4 https://doi.org/10.1063/1.4871391	journal	April 2014
Flux Conversion and Evidence of Relaxation in a High- $β$ Plasma Formed by High-Speed Injection into a Mirror Confinement Structure Guo, H. Y.; Hoffman, A. L.; Miller, K. E. Physical Review Letters, Vol. 92, Issue 24 https://doi.org/10.1103/PhysRevLett.92.245001	journal	June 2004
Hamiltonian and action principle formalisms for spin-1/2 magnetohydrodynamics Lingam, M. Physics of Plasmas, Vol. 22, Issue 2 https://doi.org/10.1063/1.4913226	journal	February 2015
Review of field-reversed configurations Steinhauer, Loren C. Physics of Plasmas, Vol. 18, Issue 7 https://doi.org/10.1063/1.3613680	journal	July 2011
Dynamo Action in Hall Magnetohydrodynamics Mininni, Pablo D.; Gómez, Daniel O.; Mahajan, Swadesh M. The Astrophysical Journal, Vol. 567, Issue 1 https://doi.org/10.1086/339850	journal	February 2002
Energy Transformation Mechanism in the Solar Atmosphere Associated with Magnetofluid Coupling: Explosive and Eruptive Events Ohsaki, Shuichi; Shatashvili, Nana L.; Yoshida, Zensho The Astrophysical Journal, Vol. 570, Issue 1 https://doi.org/10.1086/339499	journal	May 2002
Dynamics of helicity transport and Taylor relaxation Diamond, P. H.; Malkov, M. Physics of Plasmas, Vol. 10, Issue 6 https://doi.org/10.1063/1.1576390	journal	June 2003
Entropy production and plasma relaxation Hameiri, Eliezer; Bhattacharjee, A. Physical Review A, Vol. 35, Issue 2 https://doi.org/10.1103/PhysRevA.35.768	journal	January 1987
Topological Constraints on Magnetic Relaxation Yeates, A. R.; Hornig, G.; Wilmot-Smith, A. L. Physical Review Letters, Vol. 105, Issue 8 https://doi.org/10.1103/PhysRevLett.105.085002	journal	August 2010
The action principle for generalized fluid motion including gyroviscosity Lingam, M.; Morrison, P. J. Physics Letters A, Vol. 378, Issue 47 https://doi.org/10.1016/j.physleta.2014.10.013	journal	November 2014
A two-fluid helicity transport model for flux-rope merging You, S. Plasma Physics and Controlled Fusion, Vol. 56, Issue 6 https://doi.org/10.1088/0741-3335/56/6/064007	journal	March 2014
Detection of a Taylor-like Plasma Relaxation Process in the Sun Nandy, Dibyendu; Hahn, Michael; Canfield, Richard C. The Astrophysical Journal, Vol. 597, Issue 1 https://doi.org/10.1086/379815	journal	October 2003
Magnetofluid Coupling: Eruptive Events in the Solar Corona Ohsaki, Shuichi; Shatashvili, Nana L.; Yoshida, Zensho The Astrophysical Journal, Vol. 559, Issue 1 https://doi.org/10.1086/323651	journal	September 2001
Turbulent relaxation of a confined magnetofluid to a force-free state Dahlburg, Jill P.; Montgomery, David; Doolen, Gary D. Journal of Plasma Physics, Vol. 37, Issue 2 https://doi.org/10.1017/S0022377800012174	journal	April 1987
A theory for the pressure pedestal in high (H) mode tokamak discharges Guzdar, P. N.; Mahajan, S. M.; Yoshida, Z. Physics of Plasmas, Vol. 12, Issue 3 https://doi.org/10.1063/1.1852468	journal	March 2005
Three-dimensional simulation study of the magnetohydrodynamic relaxation process in the solar corona. 1: Spontaneous generation of Taylor-Heyvaerts-Priest state Kusano, K.; Suzuki, Y.; Kubo, H. The Astrophysical Journal, Vol. 433 https://doi.org/10.1086/174651	journal	September 1994
Maximum entropy production principle in physics, chemistry and biology Martyushev, L. M.; Seleznev, V. D. Physics Reports, Vol. 426, Issue 1 https://doi.org/10.1016/j.physrep.2005.12.001	journal	April 2006
Classical Perfect Diamagnetism: Expulsion of Current from the Plasma Interior Mahajan, S. M. Physical Review Letters, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevLett.100.075001	journal	February 2008
Magnetic self-organization in Hall-dominated magnetorotational turbulence Kunz, Matthew W.; Lesur, Geoffroy Monthly Notices of the Royal Astronomical Society, Vol. 434, Issue 3 https://doi.org/10.1093/mnras/stt1171	journal	July 2013
Magnetohydrodynamics dynamical relaxation of coronal magnetic fields: I. Parallel untwisted magnetic fields in 2D Fuentes-Fernández, J.; Parnell, C. E.; Hood, A. W. Astronomy and Astrophysics, Vol. 514 https://doi.org/10.1051/0004-6361/200913902	journal	May 2010
Variational Principles and Self-Organization in Two-Fluid Plasmas Yoshida, Z.; Mahajan, S. M. Physical Review Letters, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevLett.88.095001	journal	February 2002
Validity of the Taylor Hypothesis for Linear Kinetic Waves in the Weakly Collisional Solar wind Howes, G. G.; Klein, K. G.; TenBarge, J. M. The Astrophysical Journal, Vol. 789, Issue 2 https://doi.org/10.1088/0004-637X/789/2/106	journal	June 2014
A Theorem on Force-Free Magnetic Fields Woltjer, L. Proceedings of the National Academy of Sciences, Vol. 44, Issue 6 https://doi.org/10.1073/pnas.44.6.489	journal	June 1958
Star Formation in Molecular Clouds: Observation and Theory Shu, Frank H.; Adams, Fred C.; Lizano, Susana Annual Review of Astronomy and Astrophysics, Vol. 25, Issue 1 https://doi.org/10.1146/annurev.aa.25.090187.000323	journal	September 1987
Direct Simulations of Helical Hall‐MHD Turbulence and Dynamo Action Mininni, Pablo D.; Gomez, Daniel O.; Mahajan, Swadesh M. The Astrophysical Journal, Vol. 619, Issue 2 https://doi.org/10.1086/426534	journal	February 2005
Beltrami fields in plasmas: High-confinement mode boundary layers and high beta equilibria Yoshida, Z.; Mahajan, S. M.; Ohsaki, S. Physics of Plasmas, Vol. 8, Issue 5 https://doi.org/10.1063/1.1354149	journal	May 2001
Solar Arcades as Possible Minimum Dissipative Relaxed States Bhattacharyya, R.; Janaki, M. S.; Dasgupta, B. Solar Physics, Vol. 240, Issue 1 https://doi.org/10.1007/s11207-006-0280-5	journal	January 2007
Relaxation of a two-species magnetofluid and application to finite-β flowing plasmas Steinhauer, L. C.; Ishida, A. Physics of Plasmas, Vol. 5, Issue 7 https://doi.org/10.1063/1.872948	journal	July 1998

Similar Records

Multi-fluid systems—Multi-Beltrami relaxed states and their implications

Journal Article · Tue Sep 15 00:00:00 EDT 2015 · Physics of Plasmas · OSTI ID:1229672

Lingam, Manasvi

Beltrami state in black-hole accretion disk: A magnetofluid approach

Journal Article · Mon Dec 07 00:00:00 EST 2015 · Physical Review E · OSTI ID:1229672

Bhattacharjee, Chinmoy; Das, Rupam; Stark, David J.; +1 more

Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems

Journal Article · Mon Nov 21 00:00:00 EST 2016 · Physics of Plasmas · OSTI ID:1229672

Xiao, Jianyuan; Qin, Hong; Morrison, Philip J.; +4 more

Title: Multi-fluid systems—Multi-Beltrami relaxed states and their implications

Citation Formats

References (69)

Similar Records

Related Subjects