THE BOLTZMANN-GRAD LIMIT FOR THE LORENTZ GAS WITH A POISSON DISTRIBUTION OF OBSTACLES - École polytechnique Access content directly
Journal Articles Kinetic and Related Models Year : 2022

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

François Golse
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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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Dates and versions

hal-03456816 , version 1 (30-11-2021)

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