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Title: New Variational Principle for the Vlasov-Maxwell Equations

Abstract

A new Eulerian variational principle is presented for the Vlasov-Maxwell equations. This principle uses constrained variations for the Vlasov distribution in eight-dimensional extended phase space. The standard energy-momentum conservation law is then derived explicitly by the Noether method. This new variational principle can be applied to various reduced Vlasov-Maxwell equations in which fast time scales have been asymptotically eliminated (e.g., low-frequency gyrokinetic theory). (c) 2000 The American Physical Society.

Authors:
Publication Date:
OSTI Identifier:
20216893
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 84; Journal Issue: 25; Other Information: PBD: 19 Jun 2000; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BOLTZMANN-VLASOV EQUATION; MAXWELL EQUATIONS; VARIATIONAL METHODS; KINETIC EQUATIONS; CONSERVATION LAWS; THEORETICAL DATA

Citation Formats

Brizard, Alain J. New Variational Principle for the Vlasov-Maxwell Equations. United States: N. p., 2000. Web. doi:10.1103/PhysRevLett.84.5768.
Brizard, Alain J. New Variational Principle for the Vlasov-Maxwell Equations. United States. doi:10.1103/PhysRevLett.84.5768.
Brizard, Alain J. Mon . "New Variational Principle for the Vlasov-Maxwell Equations". United States. doi:10.1103/PhysRevLett.84.5768.
@article{osti_20216893,
title = {New Variational Principle for the Vlasov-Maxwell Equations},
author = {Brizard, Alain J},
abstractNote = {A new Eulerian variational principle is presented for the Vlasov-Maxwell equations. This principle uses constrained variations for the Vlasov distribution in eight-dimensional extended phase space. The standard energy-momentum conservation law is then derived explicitly by the Noether method. This new variational principle can be applied to various reduced Vlasov-Maxwell equations in which fast time scales have been asymptotically eliminated (e.g., low-frequency gyrokinetic theory). (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevLett.84.5768},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 25,
volume = 84,
place = {United States},
year = {2000},
month = {6}
}