Knudsen's law and random billiards in irrational triangles
Dynamical Systems
2010-06-25 v1 Mathematical Physics
math.MP
Abstract
We prove Knudsen's law for a gas of particles bouncing freely in a two dimensional pipeline with serrated walls consisting of irrational triangles. Dynamics are randomly perturbed and the corresponding random map studied under a skew-type deterministic representation which is shown to be ergodic and exact.
Keywords
Cite
@article{arxiv.1006.4831,
title = {Knudsen's law and random billiards in irrational triangles},
author = {Joan-Andreu Lazaro-Cami and Kamaludin Dingle and Jeroen Lamb},
journal= {arXiv preprint arXiv:1006.4831},
year = {2010}
}
Comments
21 pages, 5 figures