Tuesday, July 9, 2013

1307.2157 (Giada Basile et al.)

A diffusion limit for a test particle in a random distribution of

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

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