Action principle for relativistic magnetohydrodynamics

Action principle for relativistic magnetohydrodynamics

A covariant action principle for ideal relativistic magnetohydrodynamics in terms of natural Eulerian field variables is given. This is done by generalizing the covariant Poisson bracket theory of Marsden et al. [Ann. Phys. 169, 29 (1986)], which uses a noncanonical bracket to effect constrained var...

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Veröffentlicht in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2015-04, Vol.91 (8), Article 084050
Hauptverfasser: D’Avignon, Eric, Morrison, P. J., Pegoraro, F.
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Sprache:eng
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Brackets
Byproducts
Cosmology
Fluid dynamics
Fluid flow
Formalism
Magnetic fields
Magnetohydrodynamics
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container_title Physical review. D, Particles, fields, gravitation, and cosmology
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creator D’Avignon, Eric
Morrison, P. J.
Pegoraro, F.
description A covariant action principle for ideal relativistic magnetohydrodynamics in terms of natural Eulerian field variables is given. This is done by generalizing the covariant Poisson bracket theory of Marsden et al. [Ann. Phys. 169, 29 (1986)], which uses a noncanonical bracket to effect constrained variations of an action functional. Various implications and extensions of this action principle are also discussed. Two significant byproducts of this formalism are the introduction of a new divergence-free 4-vector variable for the magnetic field, and a new Lie-dragged form for the theory.
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subjects Brackets
Byproducts
Cosmology
Fluid dynamics
Fluid flow
Formalism
Magnetic fields
Magnetohydrodynamics
title Action principle for relativistic magnetohydrodynamics
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