Variational principles for the guiding-center Vlasov-Maxwell equations
Plasma Physics
2016-06-13 v1
Abstract
The Lagrange, Euler, and Euler-Poincar\'{e} variational principles for the guiding-center Vlasov-Maxwell equations are presented. Each variational principle presents a different approach to deriving guiding-center polarization and magnetization effects into the guiding-center Maxwell equations. The conservation laws of energy, momentum, and angular momentum are also derived by Noether method, where the guiding-center stress tensor is now shown to be explicitly symmetric.
Cite
@article{arxiv.1602.05030,
title = {Variational principles for the guiding-center Vlasov-Maxwell equations},
author = {A. J. Brizard and C. Tronci},
journal= {arXiv preprint arXiv:1602.05030},
year = {2016}
}
Comments
15 pages