2014/02/28 by Carl P. Dettmann · 1 citation
Physics and Astronomy · Mathematics · #nlin.CD #cond-mat.stat-mech #math.DS
published as Commun. Theor. Phys. 62, 521-540 (2014) · 28 pages, 5 figures
arxiv created 2014/07/14 · arxiv updated 2017/06/29
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.