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arXiv · 0710.0716

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

Emanuele Caglioti·François Golse
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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, assuming all collisions of the particle with the obstacles to be elastic. In this Note, we study this motion on time intervals of order $1/r$ and in the limit as $r\to 0^+$, in the case of two space dimensions.

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Emanuele Caglioti, François Golse. 2007-10-04. The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions. https://doi.org/10.1016/j.crma.2008.01.016

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