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Title: Variational formulations of guiding-center Vlasov-Maxwell theory

Abstract

The variational formulations of guiding-center Vlasov-Maxwell theory based on Lagrange, Euler, and Euler-Poincaré variational principles are presented. Each variational principle yields a different approach to deriving guiding-center polarization and magnetization effects into the guiding-center Maxwell equations. The conservation laws of energy, momentum, and angular momentum are also derived by Noether method, where the guiding-center stress tensor is now shown to be explicitly symmetric.

Authors:
 [1];  [2]
  1. Department of Physics, Saint Michael's College, Colchester, Vermont 05439 (United States)
  2. Department of Mathematics, University of Surrey, Guildford GU2 7XH (United Kingdom)
Publication Date:
OSTI Identifier:
22598970
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANGULAR MOMENTUM; BOLTZMANN-VLASOV EQUATION; CONSERVATION LAWS; MAGNETIZATION; MAXWELL EQUATIONS; POINCARE-BERTRAND FORMULA; POLARIZATION; STRESSES; SYMMETRY; TENSORS; VARIATIONAL METHODS

Citation Formats

Brizard, Alain J., and Tronci, Cesare. Variational formulations of guiding-center Vlasov-Maxwell theory. United States: N. p., 2016. Web. doi:10.1063/1.4953431.
Brizard, Alain J., & Tronci, Cesare. Variational formulations of guiding-center Vlasov-Maxwell theory. United States. doi:10.1063/1.4953431.
Brizard, Alain J., and Tronci, Cesare. Wed . "Variational formulations of guiding-center Vlasov-Maxwell theory". United States. doi:10.1063/1.4953431.
@article{osti_22598970,
title = {Variational formulations of guiding-center Vlasov-Maxwell theory},
author = {Brizard, Alain J. and Tronci, Cesare},
abstractNote = {The variational formulations of guiding-center Vlasov-Maxwell theory based on Lagrange, Euler, and Euler-Poincaré variational principles are presented. Each variational principle yields a different approach to deriving guiding-center polarization and magnetization effects into the guiding-center Maxwell equations. The conservation laws of energy, momentum, and angular momentum are also derived by Noether method, where the guiding-center stress tensor is now shown to be explicitly symmetric.},
doi = {10.1063/1.4953431},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 6,
volume = 23,
place = {United States},
year = {2016},
month = {6}
}