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

Brizard, Alain J.

doi:10.1063/1.4997484

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

Journal Article · Fri Aug 04 04:00:00 EDT 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4997484· OSTI ID:1474312

^[1]

Saint Michael's College, Inc., Colchester, VT (United States). Dept. of Physics; Saint Michael's College

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.

View Accepted Manuscript (DOE)

Research Organization:: Saint Michael's College, Inc., Colchester, VT (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0014032

OSTI ID:: 1474312

Alternate ID(s):: OSTI ID: 1373988

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 24; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

References (16)

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