Knudsen gas in flat tire
classification
🧮 math.PR
keywords
tubewidthdistributionlightaccordingalmostangularcircular
pith:BQHPSPRU Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{BQHPSPRU}
Prints a linked pith:BQHPSPRU badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.