The Fokker-Planck drift-diffusion equation is often used to describe B
rownian motion of a particle in thermal equilibrium with the surroundi
ng medium. The present paper shows that the equation has the ability t
o describe charged particle transport far from equilibrium such as occ
urs in the presence of a high electric field in a neutral gas or a sem
iconducting solid. These transport problems are usually tackled by mea
ns of the Boltzmann transport equation, but the Fokker-Planck approach
is mathematically simpler, and gives insight into the statistics of e
nergy-exchange processes and their thermalization capacity. (C) 1998 A
merican Association of Physics Teachers.