T HE BOLTZMANN-GRAD LIMIT FOR THE LORENTZ GAS WITH A POISSON DISTRIBUTION OF OBSTACLES

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.

Automated summary

This note proposes a slightly different proof of Gallavotti's theorem in deriving the linear Boltzmann equation for the Lorentz gas with obstacles following a Poisson distribution in the Boltzmann-Grad limit.