Energy stability analysis for a hybrid fluid-kinetic plasma model

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.

References in corpus (5)

• Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian
• Hamiltonian magnetohydrodynamics: symmetric formulation, Casimir invariants, and equilibrium variational principles
• Hamiltonian approach to hybrid plasma models
• Singular Casimir Elements of the Euler Equation and Equilibrium Points
• Stability of compressible reduced magnetohydrodynamic equilibria - analogy with magnetorotational instability

Cited by in corpus (5)

• Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian
• A Hamiltonian Five-Field Gyrofluid Model
• Energy-Casimir stability of hybrid Vlasov-MHD models
• Hamiltonian kinetic-Hall Magnetohydrodynamics with fluid and kinetic ions in the current and pressure coupling schemes
• A low-frequency variational model for energetic particle effects in the pressure-coupling scheme