KNUDSEN GAS IN FLAT TIRE

• 成果类型: Article
• 署名作者: Burdzy, Krzysztof; Gauthier, Carl-Erik
• 署名单位: University of Washington; University of Washington Seattle
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/18-AAP1412
• 发表日期: 2019
• 页码: 217-263
• 关键词: random billiards; LAW

摘要

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.