Variational formulations of guidingcenter VlasovMaxwell theory
In this paper, the variational formulations of guidingcenter VlasovMaxwell theory based on Lagrange, Euler, and EulerPoincarĂ© variational principles are presented. Each variational principle yields a different approach to deriving guidingcenter polarization and magnetization effects into the guidingcenter Maxwell equations. Finally, 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:

^{[1]}
;
^{[2]}
 Saint Michael's College, Colchester, VT (United States). Dept. of Physics
 Univ. of Surrey, Guildford (United Kingdom). Dept. of Mathematics
 Publication Date:
 Grant/Contract Number:
 SC0014032; 2014112; 31320
 Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 23; Journal Issue: 6; Journal ID: ISSN 1070664X
 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) (SC24); 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 guidingcenter VlasovMaxwell theory. United States: N. p.,
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. 2016.
"Variational formulations of guidingcenter VlasovMaxwell theory". United States.
doi:10.1063/1.4953431. https://www.osti.gov/servlets/purl/1471530.
@article{osti_1471530,
title = {Variational formulations of guidingcenter VlasovMaxwell theory},
author = {Brizard, Alain J. and Tronci, Cesare},
abstractNote = {In this paper, the variational formulations of guidingcenter VlasovMaxwell theory based on Lagrange, Euler, and EulerPoincarĂ© variational principles are presented. Each variational principle yields a different approach to deriving guidingcenter polarization and magnetization effects into the guidingcenter Maxwell equations. Finally, 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},
number = 6,
volume = 23,
place = {United States},
year = {2016},
month = {6}
}