Uni-directional transport in billiards

Abstract

We outline an analysis of a classical billiard chain - a channel that can serve as a model for bended optical fibers. The phase space is split into two dis-joined parts corresponding to left and right unidirectional motion. The dynamics is analyzed in terms of a jump model defined by a jump map and a time function. The jump map has a mixed phase space with dominant chaotic component. We numerically examine the stability of motion and diffusion along the chain. As a result of singularity of the time function we find marginally-normal diffusion after subtracting the average drift.