A Diffusion Limit for a Test Particle in a Random Distribution of Scatterers

作者:Basile G; Nota A*; Pulvirenti M
来源:Journal of Statistical Physics, 2014, 155(6): 1087-1111.
DOI:10.1007/s10955-014-0940-z

摘要

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.

  • 出版日期2014-6