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arXiv · 1306.2406

Energy stability analysis for a hybrid fluid-kinetic plasma model

Philip J. Morrison·Emanuele Tassi·Cesare Tronci
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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.

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Philip J. Morrison, Emanuele Tassi, Cesare Tronci. 2013-06-11. Energy stability analysis for a hybrid fluid-kinetic plasma model. https://doi.org/10.1002/9781118577608.ch14

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