Problem 11.8. The coefficient of diffusion can written in the form

where is the Lorentz-Boltzmann collision operator. Replace by an effective collision operator,, where acting on an arbitrary function, h(p, r, t), has the form

(a) Show that is self-adjoint and negative semidefinite and has one eigenfunction with eigenvalue zero.

(b) Use to obtain an explicit expression for the diffusion coefficient (do all the integrals).

(c) What are the units of ?

Transcribed Image Text:

0 m 2m, 3/2 D= -lim dpe-p/2m 1 px (C) + ) Px,