A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification

In this paper, a physics-oriented stochastic kinetic scheme will be developed that includes random inputs from both flow and electromagnetic fields via hybridization of Galerkin collocation methods. Based on the BGK-type relaxation model multi-component Boltzmann equation, scale-dependent central-upwind flux function is designed in physical particle velocity space, governing equations discrete temporal-spatial-random domain are constructed. By solving Maxwell's with wave-propagation method, evolutions ions, electrons field coupled throughout simulation. We prove formally asymptotic-preserving Vlasov, magnetohydrodynamical, neutral Euler regimes inclusion variables. Therefore, it can used for study multi-scale multi-physics plasma system under effects uncertainties, provide scale-adaptive solutions different ratios among numerical cell size, mean free path gyroradius (or time step, local collision period). Numerical experiments including one-dimensional Landau Damping, two-stream instability Brio-Wu shock tube problem one- to three-dimensional settings, each initial conditions uncertainty, presented validate scheme.