Energy stability analysis for a hybrid fluid-kinetic plasma model
Plasma Physics
2015-02-03 v1 Mathematical Physics
math.MP
Abstract
In plasma physics, a hybrid fluid-kinetic model is composed of a magnetohydrodynamics (MHD) part that describes a bulk fluid component and a Vlasov kinetic theory part that describes an energetic plasma component. While most hybrid models in the plasma literature are non-Hamiltonian, this paper investigates a recent Hamiltonian variant in its two-dimensional configuration. The corresponding Hamiltonian structure is described along with its Casimir invariants. Then, the energy-Casimir method is used to derive explicit sufficient stability conditions, which imply a stable spectrum and suggest nonlinear stability.
Keywords
Cite
@article{arxiv.1306.2406,
title = {Energy stability analysis for a hybrid fluid-kinetic plasma model},
author = {Philip J. Morrison and Emanuele Tassi and Cesare Tronci},
journal= {arXiv preprint arXiv:1306.2406},
year = {2015}
}