Action principle for relativistic magnetohydrodynamics

D’Avignon, Eric; Morrison, P. J.; Pegoraro, F.

doi:10.1103/PhysRevD.91.084050

Title: Action principle for relativistic magnetohydrodynamics

Authors:: D’Avignon, Eric; Morrison, P. J.; Pegoraro, F.

Publication Date:: Wed Apr 22 00:00:00 EDT 2015

Sponsoring Org.:: USDOE

OSTI Identifier:: 1181391

Grant/Contract Number:: FG02-04ER54742

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 91 Journal Issue: 8; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    D’Avignon, Eric, Morrison, P. J., and Pegoraro, F. Action principle for relativistic magnetohydrodynamics.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevD.91.084050.

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                    D’Avignon, Eric, Morrison, P. J., & Pegoraro, F. Action principle for relativistic magnetohydrodynamics.  United States.  https://doi.org/10.1103/PhysRevD.91.084050

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                    D’Avignon, Eric, Morrison, P. J., and Pegoraro, F. Wed .  
"Action principle for relativistic magnetohydrodynamics".  United States.  https://doi.org/10.1103/PhysRevD.91.084050.

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@article{osti_1181391,

  title        = {Action principle for relativistic magnetohydrodynamics},

  author       = {D’Avignon, Eric and Morrison, P. J. and Pegoraro, F.},

  abstractNote = {},

  doi          = {10.1103/PhysRevD.91.084050},

  journal      = {Physical Review D},

  number       = 8,

  volume       = 91,

  place        = {United States},

  year         = {Wed Apr 22 00:00:00 EDT 2015},

  month        = {Wed Apr 22 00:00:00 EDT 2015}

}

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Works referenced in this record:

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics
journal, September 1980

Morrison, Philip J.; Greene, John M.
Physical Review Letters, Vol. 45, Issue 10
DOI: 10.1103/PhysRevLett.45.790

Axial Vector Current Conservation in Weak Interactions
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Nambu, Yoichiro
Physical Review Letters, Vol. 4, Issue 7
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Covariant poisson brackets for classical fields
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Marsden, J. E.; Montgomery, R.; Morrison, P. J.
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Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics.
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Morrison, Philip J.; Greene, John M.
Physical Review Letters, Vol. 48, Issue 8
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Poisson brackets for fluids and plasmas
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Morrison, Philip J.
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Goldstone, J.
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Mignone, A.; Zanni, C.; Tzeferacos, P.
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HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics
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The Astrophysical Journal, Vol. 589, Issue 1
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Singular Casimir Elements of the Euler Equation and Equilibrium Points
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Yoshida, Zensho; Morrison, Philip J.; Dobarro, Fernando
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DOI: 10.1007/s00021-013-0143-4

Resistive Magnetohydrodynamic Simulations of Relativistic Magnetic Reconnection
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Zenitani, Seiji; Hesse, Michael; Klimas, Alex
The Astrophysical Journal, Vol. 716, Issue 2
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Relabeling symmetry in relativistic fluids and plasmas
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Kawazura, Yohei; Yoshida, Zensho; Fukumoto, Yasuhide
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Hamiltonian description of the ideal fluid
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Morrison, P. J.
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Primitive Variable Solvers for Conservative General Relativistic Magnetohydrodynamics
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Noble, Scott C.; Gammie, Charles F.; McKinney, Jonathan C.
The Astrophysical Journal, Vol. 641, Issue 1
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Fluid element relabeling symmetry
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Padhye, Nikhil; Morrison, P. J.
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Introduction to Mechanics and Symmetry
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An HLLC Riemann solver for relativistic flows – II. Magnetohydrodynamics
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A Godunov-type scheme for relativistic magnetohydrodynamics
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Komissarov, S. S.
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Variational integration for ideal magnetohydrodynamics with built-in advection equations
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Zhou, Yao; Qin, Hong; Burby, J. W.
Physics of Plasmas, Vol. 21, Issue 10
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Free-energy expressions for Vlasov equilibria
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Morrison, P. J.; Pfirsch, D.
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Variational formulation of particle algorithms for kinetic plasma simulations
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Evstatiev, E. G.; Shadwick, B. A.
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Quasi-Particles and Gauge Invariance in the Theory of Superconductivity
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Nambu, Yoichiro
Physical Review, Vol. 117, Issue 3
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Hamiltonian magnetohydrodynamics: Helically symmetric formulation, Casimir invariants, and equilibrium variational principles
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Andreussi, T.; Morrison, P. J.; Pegoraro, F.
Physics of Plasmas, Vol. 19, Issue 5
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Covariant form of the ideal magnetohydrodynamic “connection theorem” in a relativistic plasma
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Pegoraro, F.
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Title: Action principle for relativistic magnetohydrodynamics

Citation Formats

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics journal, September 1980

Axial Vector Current Conservation in Weak Interactions journal, April 1960

Covariant poisson brackets for classical fields journal, June 1986

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics. journal, February 1982

Poisson brackets for fluids and plasmas conference, January 1982

Field theories with « Superconductor » solutions journal, January 1961

The Pluto code for Adaptive mesh Computations in Astrophysical Fluid Dynamics journal, December 2011

HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics journal, May 2003

Singular Casimir Elements of the Euler Equation and Equilibrium Points journal, April 2013

Resistive Magnetohydrodynamic Simulations of Relativistic Magnetic Reconnection journal, June 2010

Relabeling symmetry in relativistic fluids and plasmas journal, October 2014

Hamiltonian description of the ideal fluid journal, April 1998

Primitive Variable Solvers for Conservative General Relativistic Magnetohydrodynamics journal, April 2006

Fluid element relabeling symmetry journal, August 1996

Introduction to Mechanics and Symmetry book, January 1999

An HLLC Riemann solver for relativistic flows – II. Magnetohydrodynamics journal, April 2006

A Godunov-type scheme for relativistic magnetohydrodynamics journal, February 1999

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I journal, April 1961

Variational integration for ideal magnetohydrodynamics with built-in advection equations journal, October 2014

Free-energy expressions for Vlasov equilibria journal, October 1989

Variational formulation of particle algorithms for kinetic plasma simulations journal, July 2013

Quasi-Particles and Gauge Invariance in the Theory of Superconductivity journal, February 1960

Hamiltonian magnetohydrodynamics: Helically symmetric formulation, Casimir invariants, and equilibrium variational principles journal, May 2012

Covariant form of the ideal magnetohydrodynamic “connection theorem” in a relativistic plasma journal, August 2012

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics
journal, September 1980

Axial Vector Current Conservation in Weak Interactions
journal, April 1960

Covariant poisson brackets for classical fields
journal, June 1986

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics.
journal, February 1982

Poisson brackets for fluids and plasmas
conference, January 1982

Field theories with « Superconductor » solutions
journal, January 1961

The Pluto code for Adaptive mesh Computations in Astrophysical Fluid Dynamics
journal, December 2011

HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics
journal, May 2003

Singular Casimir Elements of the Euler Equation and Equilibrium Points
journal, April 2013

Resistive Magnetohydrodynamic Simulations of Relativistic Magnetic Reconnection
journal, June 2010

Relabeling symmetry in relativistic fluids and plasmas
journal, October 2014

Hamiltonian description of the ideal fluid
journal, April 1998

Primitive Variable Solvers for Conservative General Relativistic Magnetohydrodynamics
journal, April 2006

Fluid element relabeling symmetry
journal, August 1996

Introduction to Mechanics and Symmetry
book, January 1999

An HLLC Riemann solver for relativistic flows – II. Magnetohydrodynamics
journal, April 2006

A Godunov-type scheme for relativistic magnetohydrodynamics
journal, February 1999

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
journal, April 1961

Variational integration for ideal magnetohydrodynamics with built-in advection equations
journal, October 2014

Free-energy expressions for Vlasov equilibria
journal, October 1989

Variational formulation of particle algorithms for kinetic plasma simulations
journal, July 2013

Quasi-Particles and Gauge Invariance in the Theory of Superconductivity
journal, February 1960

Hamiltonian magnetohydrodynamics: Helically symmetric formulation, Casimir invariants, and equilibrium variational principles
journal, May 2012

Covariant form of the ideal magnetohydrodynamic “connection theorem” in a relativistic plasma
journal, August 2012