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Title: Variational principle for the parallel-symplectic representation of electromagnetic gyrokinetic theory

The nonlinear (full-f) electromagnetic gyrokinetic Vlasov-Maxwell equations are derived in the parallel-symplectic representation from an Eulerian gyrokinetic variational principle. The gyrokinetic Vlasov-Maxwell 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 full-f formulation of the gyrokinetic Vlasov-Maxwell theory presented here, the gyrocenter parallel-Ampere equation contains a second-order contribution to the gyrocenter current density that is derived from the second-order gyrocenter ponderomotive Hamiltonian.
Authors:
ORCiD logo [1]
  1. Saint Michael's College, Inc., Colchester, VT (United States). Dept. of Physics
Publication Date:
Grant/Contract Number:
SC0014032
Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 8; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Research Org:
Saint Michael's College, Inc., Colchester, VT (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
OSTI Identifier:
1474312
Alternate Identifier(s):
OSTI ID: 1373988

Brizard, Alain J. Variational principle for the parallel-symplectic representation of electromagnetic gyrokinetic theory. United States: N. p., Web. doi:10.1063/1.4997484.
Brizard, Alain J. Variational principle for the parallel-symplectic representation of electromagnetic gyrokinetic theory. United States. doi:10.1063/1.4997484.
Brizard, Alain J. 2017. "Variational principle for the parallel-symplectic representation of electromagnetic gyrokinetic theory". United States. doi:10.1063/1.4997484. https://www.osti.gov/servlets/purl/1474312.
@article{osti_1474312,
title = {Variational principle for the parallel-symplectic representation of electromagnetic gyrokinetic theory},
author = {Brizard, Alain J.},
abstractNote = {The nonlinear (full-f) electromagnetic gyrokinetic Vlasov-Maxwell equations are derived in the parallel-symplectic representation from an Eulerian gyrokinetic variational principle. The gyrokinetic Vlasov-Maxwell 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 full-f formulation of the gyrokinetic Vlasov-Maxwell theory presented here, the gyrocenter parallel-Ampere equation contains a second-order contribution to the gyrocenter current density that is derived from the second-order gyrocenter ponderomotive Hamiltonian.},
doi = {10.1063/1.4997484},
journal = {Physics of Plasmas},
number = 8,
volume = 24,
place = {United States},
year = {2017},
month = {8}
}