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February 2019 Knudsen gas in flat tire
Krzysztof Burdzy, Carl-Erik Gauthier
Ann. Appl. Probab. 29(1): 217-263 (February 2019). DOI: 10.1214/18-AAP1412

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.

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Krzysztof Burdzy. Carl-Erik Gauthier. "Knudsen gas in flat tire." Ann. Appl. Probab. 29 (1) 217 - 263, February 2019. https://doi.org/10.1214/18-AAP1412

Information

Received: 1 January 2018; Revised: 1 June 2018; Published: February 2019
First available in Project Euclid: 5 December 2018

zbMATH: 07039125
MathSciNet: MR3910004
Digital Object Identifier: 10.1214/18-AAP1412

Subjects:
Primary: 60F17
Secondary: 37D50, 60G40, 60G42, 60G44, 60J05, 60J25

Rights: Copyright © 2019 Institute of Mathematical Statistics

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Vol.29 • No. 1 • February 2019
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