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

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4953431· OSTI ID:22598970
 [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)

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.

OSTI ID:
22598970
Journal Information:
Physics of Plasmas, Vol. 23, Issue 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
Country of Publication:
United States
Language:
English

Cited By (6)

A low-frequency variational model for energetic particle effects in the pressure-coupling scheme journal July 2018
Hamiltonian structure of the guiding center plasma model journal February 2018
Eulerian variational formulations and momentum conservation laws for kinetic plasma systems journal October 2018
Guiding-centre theory for kinetic-magnetohydrodynamic modes in strongly flowing plasmas journal May 2019
Hamiltonian structure of the guiding center plasma model text January 2017
A low-frequency variational model for energetic particle effects in the pressure-coupling scheme text January 2018