The Boltzmann-Grad Limit for the Lorentz Gas with a Poisson Distribution of Obstacles

Abstract

In this note, we propose a slightly different proof of Gallavotti's theorem ["Statistical Mechanics: A Short Treatise", Springer, 1999, pp. 48--55] on the derivation of the linear Boltzmann equation for the Lorentz gas with a Poisson distribution of obstacles in the Boltzmann-Grad limit.

arXiv comment18 pages