Variational formulations of guiding-center Vlasov-Maxwell theory

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 Max...

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Veröffentlicht in:Physics of plasmas 2016-06, Vol.23 (6)
Hauptverfasser: Brizard, Alain J., Tronci, Cesare
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4953431