On the Periodic Lorentz Gas and the Lorentz Kinetic Equation
Analysis of PDEs
2013-09-03 v1 Dynamical Systems
Abstract
We prove that the Boltzmann-Grad limit of the Lorentz gas with periodic distribution of scatterers cannot be described with a linear Boltzmann equation. This is at variance with the case of a Poisson distribution of scatterers, for which the convergence to the linear Boltzmann equation has been proved by Gallavotti [Phys. Rev. (2) 185 (1969), p. 308].
Keywords
Cite
@article{arxiv.math/0703812,
title = {On the Periodic Lorentz Gas and the Lorentz Kinetic Equation},
author = {François Golse},
journal= {arXiv preprint arXiv:math/0703812},
year = {2013}
}