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Knudsen gas in flat tire
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Knudsen gas in flat tire
classification
math.PR
keywords
tubewidthdistributionlightaccordingalmostangularcircular
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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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