Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 190, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1007/s10955-023-03134-2
Keywords
Lorentz gas; Boltzmann Grad limit; Boltzmann equation
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We study the Lorentz gas in a distribution of scatterers and find that it satisfies a linear Boltzmann equation in the low density limit, while the periodic Lorentz gas does not satisfy the Boltzmann equation in the limit.
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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