Hamiltonian formulation of the gyrokinetic Vlasov-Maxwell equations
Plasma Physics
2017-11-21 v1
Abstract
The gyrokinetic Vlasov-Maxwell equations are cast as an infinite-dimensional Hamiltonian system. The gyrokinetic Poisson bracket is remarkably simple and similar to the Morrison-Marsden-Weinstein bracket for the Vlasov-Maxwell equations. By identifying many of the bracket's Casimirs, this work enables (i) the derivation of gyrokinetic equilibrium variational principles and (ii) the application of the energy-Casimir method and the method of dynamically-accessible variations to study stability properties of gyrokinetic equilibria.
Keywords
Cite
@article{arxiv.1411.1790,
title = {Hamiltonian formulation of the gyrokinetic Vlasov-Maxwell equations},
author = {J. W. Burby and A. J. Brizard and P. J. Morrison and H. Qin},
journal= {arXiv preprint arXiv:1411.1790},
year = {2017}
}
Comments
11 pages