Neutral Vlasov kinetic theory of magnetized plasmas

Abstract

The low-frequency limit of Maxwell equations is considered in the Maxwell-Vlasov system. This limit produces a neutral Vlasov system that captures essential features of plasma dynamics, while neglecting radiation effects. Euler-Poincaré reduction theory is used to show that the neutral Vlasov kinetic theory possesses a variational formulation in both Lagrangian and Eulerian coordinates. By construction, the model recovers all collisionless neutral models employed in plasma simulations. Then, comparisons between the neutral Vlasov system and hybrid kinetic-fluid models are presented in the linear regime.

5 pages, 2 figures

References in corpus (5)

• Action Principles for Extended MHD Models
• Hamiltonian approach to hybrid plasma models
• The Hamiltonian structure and Euler-Poincaré formulation of the Vlasov-Maxwell and gyrokinetic systems
• Vlasov simulations of Kinetic Alfvén Waves at proton kinetic scales
• A Lagrangian kinetic model for collisionless magnetic reconnection

Cited by in corpus (7)

• Fully kinetic versus reduced-kinetic modelling of collisionless plasma turbulence
• Variational approach to low-frequency kinetic-MHD in the current coupling scheme
• Slow manifold reduction for plasma science
• Space-filter techniques for quasi-neutral hybrid-kinetic models
• Variational mean-fluctuation splitting and drift-fluid models
• Bridging kinetic plasma descriptions and single fluid models
• Current sheets, plasmoids and flux ropes in the heliosphere. Part II: Theoretical aspects