Knudsen's law and random billiards in irrational triangles
arXiv:1006.4831
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.
21 pages, 5 figures