Quasi-neutral Vlasov theory of magnetized plasmas

The low-frequency limit of Maxwell equations is considered in the Maxwell-Vlasov system. This limit produces a quasi-neutral Vlasov system [1] that captures essential features of plasma dynamics, while neglecting radiation effects. Euler-Poincar\'e reduction theory is used to show that the quasi-neutral Vlasov theory possesses a variational formulation in both Lagrangian and Eulerian coordinates. By construction, the new model recovers all collisionless neutral models employed in plasma simulations. Then, comparisons between the quasi-neutral Vlasov system and hybrid kinetic-fluid models are presented in the linear regime. \\[4pt] [1] C. Tronci, E. Camporeale, Neutral Vlasov kinetic theory of magnetized plasmas, Phys. Plasmas, 22 (2015), no. 2, 020704