The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions

Emanuele Caglioti; François Golse

doi:10.1016/j.crma.2008.01.016

The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions

Emanuele Caglioti
, François Golse

University of Rome

Research output: Contribution to journal › Article › peer-review

Abstract

The periodic Lorentz gas is the dynamical system corresponding to the free motion of a point particle in a periodic system of fixed spherical obstacles of radius r centered at the integer points of the Euclidian plane, assuming all collisions of the particle with the obstacles to be elastic. In this Note, we study this motion on time intervals of order 1 / r as r → 0⁺. To cite this article: E. Caglioti, F. Golse, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

Original language	English
Pages (from-to)	477-482
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	346
Issue number	7-8
DOIs	https://doi.org/10.1016/j.crma.2008.01.016
Publication status	Published - 1 Jan 2008

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The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions

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