Variational formulations of guiding-center Vlasov-Maxwell theory
Abstract
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:
-
[1];
[2]
- Saint Michael's College, Colchester, VT (United States). Dept. of Physics
- Univ. of Surrey, Guildford (United Kingdom). Dept. of Mathematics
- Publication Date:
- 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); Leverhulme Trust (United Kingdom); London Mathematical Society (United Kingdom)
- OSTI Identifier:
- 1471530
- Alternate Identifier(s):
- OSTI ID: 1256527
- Grant/Contract Number:
- SC0014032; 2014-112; 31320
- Resource 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)
- 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
Citation Formats
Brizard, Alain J., and Tronci, Cesare. Variational formulations of guiding-center Vlasov-Maxwell theory. United States: N. p., 2016.
Web. doi:10.1063/1.4953431.
Brizard, Alain J., & Tronci, Cesare. Variational formulations of guiding-center Vlasov-Maxwell theory. United States. https://doi.org/10.1063/1.4953431
Brizard, Alain J., and Tronci, Cesare. Thu .
"Variational formulations of guiding-center Vlasov-Maxwell theory". United States. https://doi.org/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 = {Thu Jun 09 00:00:00 EDT 2016},
month = {Thu Jun 09 00:00:00 EDT 2016}
}
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Works referencing / citing this record:
Hamiltonian structure of the guiding center plasma model
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- Burby, J. W.; Sengupta, W.
- Physics of Plasmas, Vol. 25, Issue 2
Eulerian variational formulations and momentum conservation laws for kinetic plasma systems
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- Sugama, H.; Nunami, M.; Satake, S.
- Physics of Plasmas, Vol. 25, Issue 10
Guiding-centre theory for kinetic-magnetohydrodynamic modes in strongly flowing plasmas
journal, May 2019
- Lanthaler, S.; Graves, J. P.; Pfefferlé, D.
- Plasma Physics and Controlled Fusion, Vol. 61, Issue 7
Hamiltonian structure of the guiding center plasma model
text, January 2017
- Burby, J. W.; Sengupta, W.
- arXiv
A low-frequency variational model for energetic particle effects in the pressure-coupling scheme
text, January 2018
- Close, Alexander R. D.; Burby, Joshua W.; Tronci, Cesare
- arXiv