Variational principle for the parallelsymplectic representation of electromagnetic gyrokinetic theory
Abstract
The nonlinear (fullf) electromagnetic gyrokinetic VlasovMaxwell equations are derived in the parallelsymplectic representation from an Eulerian gyrokinetic variational principle. The gyrokinetic VlasovMaxwell equations are shown to possess an exact energy conservation law, which is derived by the Noether method from the gyrokinetic variational principle. Here, the gyrocenter Poisson bracket and the gyrocenter Jacobian contain contributions from the perturbed magnetic field. Lastly, in the fullf formulation of the gyrokinetic VlasovMaxwell theory presented here, the gyrocenter parallelAmpere equation contains a secondorder contribution to the gyrocenter current density that is derived from the secondorder gyrocenter ponderomotive Hamiltonian.
 Authors:

 Saint Michael's College, Inc., Colchester, VT (United States). Dept. of Physics
 Publication Date:
 Research Org.:
 Saint Michael's College, Inc., Colchester, VT (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1474312
 Alternate Identifier(s):
 OSTI ID: 1373988
 Grant/Contract Number:
 SC0014032
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 24; Journal Issue: 8; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Brizard, Alain J. Variational principle for the parallelsymplectic representation of electromagnetic gyrokinetic theory. United States: N. p., 2017.
Web. https://doi.org/10.1063/1.4997484.
Brizard, Alain J. Variational principle for the parallelsymplectic representation of electromagnetic gyrokinetic theory. United States. https://doi.org/10.1063/1.4997484
Brizard, Alain J. Fri .
"Variational principle for the parallelsymplectic representation of electromagnetic gyrokinetic theory". United States. https://doi.org/10.1063/1.4997484. https://www.osti.gov/servlets/purl/1474312.
@article{osti_1474312,
title = {Variational principle for the parallelsymplectic representation of electromagnetic gyrokinetic theory},
author = {Brizard, Alain J.},
abstractNote = {The nonlinear (fullf) electromagnetic gyrokinetic VlasovMaxwell equations are derived in the parallelsymplectic representation from an Eulerian gyrokinetic variational principle. The gyrokinetic VlasovMaxwell equations are shown to possess an exact energy conservation law, which is derived by the Noether method from the gyrokinetic variational principle. Here, the gyrocenter Poisson bracket and the gyrocenter Jacobian contain contributions from the perturbed magnetic field. Lastly, in the fullf formulation of the gyrokinetic VlasovMaxwell theory presented here, the gyrocenter parallelAmpere equation contains a secondorder contribution to the gyrocenter current density that is derived from the secondorder gyrocenter ponderomotive Hamiltonian.},
doi = {10.1063/1.4997484},
journal = {Physics of Plasmas},
number = 8,
volume = 24,
place = {United States},
year = {2017},
month = {8}
}
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