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Title: Variational principle for nonlinear gyrokinetic Vlasov--Maxwell equations

Abstract

A new variational principle for the nonlinear gyrokinetic Vlasov--Maxwell equations is presented. This Eulerian variational principle uses constrained variations for the gyrocenter Vlasov distribution in eight-dimensional extended phase space and turns out to be simpler than the Lagrangian variational principle recently presented by H. Sugama [Phys. Plasmas 7, 466 (2000)]. A local energy conservation law is then derived explicitly by the Noether method. In future work, this new variational principle will be used to derive self-consistent, nonlinear, low-frequency Vlasov--Maxwell bounce-gyrokinetic equations, in which the fast gyromotion and bounce-motion time scales have been eliminated.

Authors:
Publication Date:
Sponsoring Org.:
(US)
OSTI Identifier:
40205954
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 7; Journal Issue: 12; Other Information: DOI: 10.1063/1.1322063; Othernumber: PHPAEN000007000012004816000001; 044012PHP; PBD: Dec 2000; Journal ID: ISSN 1070-664X
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DISTRIBUTION; ENERGY CONSERVATION; LAGRANGIAN FUNCTION; PHASE SPACE; PHYSICS

Citation Formats

Brizard, Alain J. Variational principle for nonlinear gyrokinetic Vlasov--Maxwell equations. United States: N. p., 2000. Web. doi:10.1063/1.1322063.
Brizard, Alain J. Variational principle for nonlinear gyrokinetic Vlasov--Maxwell equations. United States. doi:10.1063/1.1322063.
Brizard, Alain J. Fri . "Variational principle for nonlinear gyrokinetic Vlasov--Maxwell equations". United States. doi:10.1063/1.1322063.
@article{osti_40205954,
title = {Variational principle for nonlinear gyrokinetic Vlasov--Maxwell equations},
author = {Brizard, Alain J},
abstractNote = {A new variational principle for the nonlinear gyrokinetic Vlasov--Maxwell equations is presented. This Eulerian variational principle uses constrained variations for the gyrocenter Vlasov distribution in eight-dimensional extended phase space and turns out to be simpler than the Lagrangian variational principle recently presented by H. Sugama [Phys. Plasmas 7, 466 (2000)]. A local energy conservation law is then derived explicitly by the Noether method. In future work, this new variational principle will be used to derive self-consistent, nonlinear, low-frequency Vlasov--Maxwell bounce-gyrokinetic equations, in which the fast gyromotion and bounce-motion time scales have been eliminated.},
doi = {10.1063/1.1322063},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 12,
volume = 7,
place = {United States},
year = {2000},
month = {12}
}