A diffusion limit for a test particle in a random distribution of scatterers
Mathematical Physics
2015-12-04 v1 math.MP
Abstract
We consider a point particle moving in a random distribution of obstacles described by a potential barrier. We show that, in a weak-coupling regime, under a diffusion limit suggested by the potential itself, the probability distribution of the particle converges to the solution of the heat equation. The diffusion coefficient is given by the Green-Kubo formula associated to the generator of the diffusion process dictated by the linear Landau equation.
Cite
@article{arxiv.1307.2157,
title = {A diffusion limit for a test particle in a random distribution of scatterers},
author = {Giada Basile and Alessia Nota and Mario Pulvirenti},
journal= {arXiv preprint arXiv:1307.2157},
year = {2015}
}