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arXiv · 2210.00234

The Lorentz Process with a Nearly Periodic Distribution of Scatterers

Bernt Wennberg
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Abstract

We consider the Lorentz gas in a distribution of scatterers which microscopically converges to a periodic distribution, and prove that the Lorentz gas in the low density limit satisfies a linear Boltzmann equation. This is in contrast with the periodic Lorentz gas, which does not satisfy the Boltzmann equation in the limit.

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Bernt Wennberg. 2022-10-01. The Lorentz Process with a Nearly Periodic Distribution of Scatterers. https://doi.org/10.1007/s10955-023-03134-2

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