Abstract Details
Abstracts
Author: Alain J Brizard
Requested Type: Pre-Selected Invited
Submitted: 2019-02-11 08:38:52
Co-authors:
Contact Info:
Saint Michael's College
Department of Physics One Wino
Colchester, VT 05439
US
Abstract Text:
A new form of electromagnetic gyrokinetic Vlasov-Maxwell theory is considered in which the gyrocenter symplectic structure contains the electric and magnetic perturbations needed to yield a vanishing first-order gyrocenter polarization displacement (in the finite-beta approximation). The gyrocenter Hamilton equations, which are expressed in terms of a gyrocenter Poisson bracket that contains electromagnetic perturbations and a gyrocenter Hamiltonian, satisfy the Liouville property exactly with a time-dependent gyrocenter Jacobian.
The gyrokinetic Vlasov-Maxwell equations are derived from a variational principle, which also yields exact conservation laws through the Noether method. It is shown that the new symplectic gyrokinetic Vlasov-Maxwell equations retain all first-order polarization and magnetization effects without the need to consider second-order contributions in the gyrocenter Hamiltonian.
Work funded by NSF under grant number PHY-1805164
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