A rigorous derivation of Haff's law for a periodic two-disk fluid
Dynamical Systems
2019-09-04 v1
Abstract
We derive Haff's cooling law for a periodic fluid consisting of two hard disks per unit cell by reducing it to a point particle moving inside a Sinai billiard with finite horizon with an inelastic collision rule. Indeed, our results also apply to general dispersing billiards with piece-wise smooth boundary with finite horizon and no cusps.
Keywords
Cite
@article{arxiv.1806.06320,
title = {A rigorous derivation of Haff's law for a periodic two-disk fluid},
author = {Alexander Grigo},
journal= {arXiv preprint arXiv:1806.06320},
year = {2019}
}