Exact solution of the kinetic equation in 3D for a particle moving with constant velocity modulus in an environment with isotropic scatterers?

08 August 2016 1 4K Report

The equation is in the attached file. I would appreciate even approximate solutions with accuracy higher than the Fokker-Planck approximation.

A. A. Bespalov

@ Aleksei Bykov: Right, the equation is simplified by introducing x=cos(theta). However, the resulting equation for f does not seem solvable with an arbitrary function g(t, r).

I am mostly interested in the behavior of f at t >> \tau, where the equation can be reduced to the diffusion equation. However, a higher accuracy is desired.

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