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

 Department of Physics, Saint Michael's College, Colchester, Vermont 05439 (United States)
 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 1070664X
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICAL METHODS AND COMPUTING; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANGULAR MOMENTUM; BOLTZMANNVLASOV EQUATION; CONSERVATION LAWS; MAGNETIZATION; MAXWELL EQUATIONS; POINCAREBERTRAND FORMULA; POLARIZATION; STRESSES; SYMMETRY; TENSORS; VARIATIONAL METHODS
Citation Formats
Brizard, Alain J., and Tronci, Cesare. Variational formulations of guidingcenter VlasovMaxwell theory. United States: N. p., 2016.
Web. doi:10.1063/1.4953431.
Brizard, Alain J., & Tronci, Cesare. Variational formulations of guidingcenter VlasovMaxwell theory. United States. doi:10.1063/1.4953431.
Brizard, Alain J., and Tronci, Cesare. Wed .
"Variational formulations of guidingcenter VlasovMaxwell theory". United States. doi:10.1063/1.4953431.
@article{osti_22598970,
title = {Variational formulations of guidingcenter VlasovMaxwell theory},
author = {Brizard, Alain J. and Tronci, Cesare},
abstractNote = {The variational formulations of guidingcenter VlasovMaxwell theory based on Lagrange, Euler, and EulerPoincaré variational principles are presented. Each variational principle yields a different approach to deriving guidingcenter polarization and magnetization effects into the guidingcenter Maxwell equations. The conservation laws of energy, momentum, and angular momentum are also derived by Noether method, where the guidingcenter stress tensor is now shown to be explicitly symmetric.},
doi = {10.1063/1.4953431},
journal = {Physics of Plasmas},
issn = {1070664X},
number = 6,
volume = 23,
place = {United States},
year = {2016},
month = {6}
}
DOI: 10.1063/1.4953431
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