Variational formulations of guiding-center Vlasov-Maxwell theory

Brizard, Alain J.; Tronci, Cesare

doi:10.1063/1.4953431

Variational formulations of guiding-center Vlasov-Maxwell theory

Journal Article · Thu Jun 09 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4953431· OSTI ID:1471530

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Saint Michael's College, Colchester, VT (United States). Dept. of Physics; Saint Michael's College
Univ. of Surrey, Guildford (United Kingdom). Dept. of Mathematics

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.

View Accepted Manuscript (DOE)

Research Organization:: Saint Michael's College, Colchester, VT (United States); Univ. of Surrey, Guildford (United Kingdom)

Sponsoring Organization:: Leverhulme Trust (United Kingdom); London Mathematical Society (United Kingdom); USDOE; USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: SC0014032

OSTI ID:: 1471530

Alternate ID(s):: OSTI ID: 22598970
OSTI ID: 1256527

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 6 Vol. 23; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (6)

A low-frequency variational model for energetic particle effects in the pressure-coupling scheme Close, Alexander R. D.; Burby, Joshua W.; Tronci, Cesare Journal of Plasma Physics, Vol. 84, Issue 4 https://doi.org/10.1017/s0022377818000697	journal	July 2018
Hamiltonian structure of the guiding center plasma model Burby, J. W.; Sengupta, W. Physics of Plasmas, Vol. 25, Issue 2 https://doi.org/10.1063/1.5016453	journal	February 2018
Eulerian variational formulations and momentum conservation laws for kinetic plasma systems Sugama, H.; Nunami, M.; Satake, S. Physics of Plasmas, Vol. 25, Issue 10 https://doi.org/10.1063/1.5031155	journal	October 2018
Guiding-centre theory for kinetic-magnetohydrodynamic modes in strongly flowing plasmas Lanthaler, S.; Graves, J. P.; Pfefferlé, D. Plasma Physics and Controlled Fusion, Vol. 61, Issue 7 https://doi.org/10.1088/1361-6587/ab1d21	journal	May 2019
Hamiltonian structure of the guiding center plasma model Burby, J. W.; Sengupta, W. arXiv https://doi.org/10.48550/arxiv.1711.03992	text	January 2017
A low-frequency variational model for energetic particle effects in the pressure-coupling scheme Close, Alexander R. D.; Burby, Joshua W.; Tronci, Cesare arXiv https://doi.org/10.48550/arxiv.1802.00978	text	January 2018

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Variational formulations of guiding-center Vlasov-Maxwell theory

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