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

In this paper, 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. Finally, 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:
ORCiD logo [1] ; ORCiD logo [2]
  1. Saint Michael's College, Colchester, VT (United States). Dept. of Physics
  2. Univ. of Surrey, Guildford (United Kingdom). Dept. of Mathematics
Publication Date:
Grant/Contract Number:
SC0014032; 2014-112; 31320
Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 6; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Research Org:
Saint Michael's College, Colchester, VT (United States); Univ. of Surrey, Guildford (United Kingdom)
Sponsoring Org:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24); Leverhulme Trust (United Kingdom); London Mathematical Society (United Kingdom)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 97 MATHEMATICS AND COMPUTING; Vlasov equation; Lie algebras; plasma physics; charged currents; Maxwell equations; electromagnetism; calculus of variations; plasma dynamics; Hamiltonian mechanics; Newtonian mechanics
OSTI Identifier:
1471530
Alternate Identifier(s):
OSTI ID: 1256527

Brizard, Alain J., and Tronci, Cesare. Variational formulations of guiding-center Vlasov-Maxwell theory. United States: N. p., 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. 2016. "Variational formulations of guiding-center Vlasov-Maxwell theory". United States. doi:10.1063/1.4953431. https://www.osti.gov/servlets/purl/1471530.
@article{osti_1471530,
title = {Variational formulations of guiding-center Vlasov-Maxwell theory},
author = {Brizard, Alain J. and Tronci, Cesare},
abstractNote = {In this paper, 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. Finally, 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},
number = 6,
volume = 23,
place = {United States},
year = {2016},
month = {6}
}