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. © 2014 Springer Science+Business Media New York.
Titolo: | A Diffusion Limit for a Test Particle in a Random Distribution of Scatterers |
Autori: | |
Data di pubblicazione: | 2014 |
Rivista: | |
Handle: | http://hdl.handle.net/11697/150969 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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