Particle method for electrons in a scattering medium

The Cauchy problem for the kinetic and electrodynamic equations describing the propagation of an electron flow in a scattering medium and generation of self-consistent electromagnetic field is considered. The electron distribution function is defined in the space of finitely supported generalized functions. Algorithms for the simulation of scattering in the approximation of single and multiple collisions in a time step are presented. Specificities of application of this algorithm in a dense scattering medium and ionized region of large volume are considered.