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

DOI10.1016/J.CRMA.2008.01.016zbMATH Open1145.82019arXiv0710.0716OpenAlexW2053462581MaRDI QIDQ2427237

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Publication date: 8 May 2008

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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 $ro{0}^{+}$, in the case of two space dimensions.

Full work available at URL: https://arxiv.org/abs/0710.0716

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