Variational Formulation of Higher-order Guiding-center Vlasov-Maxwell Theory
Plasma Physics
2023-10-03 v4
Abstract
Extended guiding-center Vlasov-Maxwell equations are derived under the assumption of time-dependent and inhomogeneous electric and magnetic fields that obey the standard guiding-center space-time-scale orderings. The guiding-center Vlasov-Maxwell equations are derived to second order, which contain dipole and quadrupole contributions to the guiding-center polarization and magnetization that include finite-Larmor-radius corrections. Exact energy-momentum conservation laws are derived from the variational formulation of these higher-order guiding-center Vlasov-Maxwell equations.
Keywords
Cite
@article{arxiv.2306.04726,
title = {Variational Formulation of Higher-order Guiding-center Vlasov-Maxwell Theory},
author = {Alain J. Brizard},
journal= {arXiv preprint arXiv:2306.04726},
year = {2023}
}
Comments
14 pages, with a new appendix and several new citations