Transport of energetic charged particles. Part 2. Small-angle scattering

Abstract

The propagating source method has been extended to solve the Boltzmann equation with a quasi-linear diffusion scattering operator. A half-range polynomial expansion method is used to reduce the integral-diffusion form of the ‘collisional’ Boltzmann equation to an infinite set of linear hyperbolic partial differential equations in the harmonics of the polynomial expansion. The lowest-order truncation of the coupled set of equations yields an inhomogeneous form of the well-known telegrapher equation, which, unlike the homogeneous telegrapher equation, does not introduce physically unrealistic pulse solutions. Anisotropic quasi-linear scattering models for which the index than for mirroring models.