Diffusive limit for the random Lorentz gas

Abstract

We review some recent results concerning the derivation of the diffusion equation and the validation of Fick's law for the microscopic model given by the random Lorentz Gas. These results are achieved by using a linear kinetic equation as an intermediate level of description between our original mechanical system and the diffusion equation.

Proceedings of the conference PSPDE II 2013

References in corpus (2)

• A diffusion limit for a test particle in a random distribution of scatterers
• Derivation of the Fick's Law for the Lorentz Model in a low density regime

Cited by in corpus (1)

• On the growth of a particle coalescing in a Poisson distribution of obstacles