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THE BOLTZMANN-GRAD LIMIT FOR THE LORENTZ GAS WITH A POISSON DISTRIBUTION OF OBSTACLES

Abstract : In this note, we propose a slightly different proof of Gallavotti's theorem ["Statistical Mechanics: A Short Treatise", Springer, 1999, pp. 48-55] on the derivation of the linear Boltzmann equation for the Lorentz gas with a Poisson distribution of obstacles in the Boltzmann-Grad limit.
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https://hal-polytechnique.archives-ouvertes.fr/hal-03456816
Contributor : François Golse Connect in order to contact the contributor
Submitted on : Tuesday, November 30, 2021 - 11:40:11 AM
Last modification on : Friday, January 28, 2022 - 12:14:38 PM

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François Golse. THE BOLTZMANN-GRAD LIMIT FOR THE LORENTZ GAS WITH A POISSON DISTRIBUTION OF OBSTACLES. Kinetic and Related Models , AIMS, inPress, ⟨10.3934/krm.2022001⟩. ⟨hal-03456816⟩

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