The Lorentz Process with a Nearly Periodic Distribution of Scatterers
arXiv:2210.00234 · doi:10.1007/s10955-023-03134-2
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.
arXiv comment5 figures
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