Variational principle for the parallel-symplectic representation of electromagnetic gyrokinetic theory
Abstract
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.
- 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 1070-664X
- 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 parallel-symplectic representation of electromagnetic gyrokinetic theory. United States: N. p., 2017.
Web. doi:10.1063/1.4997484.
Brizard, Alain J. Variational principle for the parallel-symplectic representation of electromagnetic gyrokinetic theory. United States. https://doi.org/10.1063/1.4997484
Brizard, Alain J. Fri .
"Variational principle for the parallel-symplectic 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 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 = {Fri Aug 04 00:00:00 EDT 2017},
month = {Fri Aug 04 00:00:00 EDT 2017}
}
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