1307.2157 (Giada Basile et al.)

A diffusion limit for a test particle in a random distribution of
scatterers    [PDF]

Giada Basile, Alessia Nota, Mario Pulvirenti

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.

View original: http://arxiv.org/abs/1307.2157