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...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.展开更多
文摘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.
