Anomalous diffusion in dynamic systems with reflection

Abstract

In this paper, we study generalized billiards inside a strip with a nonideal reflection law in the case where the reflection angle depends not only on the incident angle but also on the reflection point. We give effective conditions for such billiards to have the Bernoulli property. Examples of deterministic diffusion are considered. We also study transport properties of the billiards with a stochastic reflection law.