The generalized function solution of the Fokker–Planck equation for monoenergetic charged particle transport

Abstract

The solution of the Fokker–Planck equation describing the motion of an isotropic burst of ions originating at the center of an infinite medium and undergoing small angle deflections is obtained in terms of generalized functions using the multiple collision approach. The resulting solution can be shown to define a functional on the test function space Sβα for α≥ 1/2 and β≤ 1/2 and the space of polynomials specifying the dynamic moments.