Knudsen gas in flat tire
Probability
2018-01-18 v1
Abstract
We consider random reflections (according to the Lambertian distribution) of a light ray in a thin variable width (but almost circular) tube. As the width of the tube goes to zero, properly rescaled angular component of the light ray position converges in distribution to a diffusion whose parameters (diffusivity and drift) are given explicitly in terms of the tube width.
Cite
@article{arxiv.1801.05481,
title = {Knudsen gas in flat tire},
author = {Krzysztof Burdzy and Carl-Erik Gauthier},
journal= {arXiv preprint arXiv:1801.05481},
year = {2018}
}