The Lorentz Process with a Nearly Periodic Distribution of Scatterers
Mathematical Physics
2023-08-02 v1 math.MP
Abstract
We consider the Lorentz gas in a distribution of scatterers which microscopically converges to a periodic distribution, and prove that the Lorentz gas in the low density limit satisfies a linear Boltzmann equation. This is in contrast with the periodic Lorentz gas, which does not satisfy the Boltzmann equation in the limit.
Keywords
Cite
@article{arxiv.2210.00234,
title = {The Lorentz Process with a Nearly Periodic Distribution of Scatterers},
author = {Bernt Wennberg},
journal= {arXiv preprint arXiv:2210.00234},
year = {2023}
}
Comments
5 figures