Asymptotic and Numerical Analysis of Charged Particle Beams.
Paper in proceedings, 2003
We study a model for a single particle moving
through a homogeneous
background medium. Starting with a transport process for the
electron particles we derive
($i$) the Fokker-Planck equation using asymptotic expansions,
(assuming small mean free path), then ($ii$) the Fermi equation by yet
asymptotic expansion assuming (in addition to small mean free path)
small angular deviations. Finally ($iii$) we
discuss some numerical
solutions of a simplified 2-dimensional Fermi equation.
Charged particle beams