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arXiv · 1402.7010

Diffusion in the Lorentz gas

Carl P. Dettmann
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Abstract

The Lorentz gas, a point particle making mirror-like reflections from an extended collection of scatterers, has been a useful model of deterministic diffusion and related statistical properties for over a century. This survey summarises recent results, including periodic and aperiodic models, finite and infinite horizon, external fields, smooth or polygonal obstacles, and in the Boltzmann-Grad limit. New results are given for several moving particles and for obstacles with flat points. Finally, a variety of applications are presented.

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Carl P. Dettmann. 2014-02-27. Diffusion in the Lorentz gas. https://arxiv.org/abs/1402.7010

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