Soft Matter and Complex Systems Seminar

Polygonal billiard channels are examples of pseudo-chaotic dynamics, a combination of integrable evolution and sudden jumps due to singular points that arise from the corners of the polygon. Such pseudo-chaotic behaviour, often characterised by an algebraic separation of nearby trajectories, is believed to be linked to the wild dependence that particle transport has on billiard geometry. Borrowing ideas from the Zemlyakov-Katok construction, we derive an exact expression of a scattering map of the cell connecting the outgoing flow of trajectories to the unconstrained incoming flow.