Time irreversible billiards with piecewise-straight trajectories
Chaotic Dynamics
2013-10-01 v1
Abstract
We introduce a new family of billiards which break time reversal symmetry in spite of having piece-wise straight trajectories. We show that our billiards preserve the ergodic and mixing properties of conventional billiards while they may turn into exponential the power law decay of correlations characteristic of Sinai type billiards. Such billiards can be implemented by squeezing the transverse magnetic field along lines or along one-dimensional manifolds.
Cite
@article{arxiv.1309.7613,
title = {Time irreversible billiards with piecewise-straight trajectories},
author = {Giulio Casati and Tomaz Prosen},
journal= {arXiv preprint arXiv:1309.7613},
year = {2013}
}
Comments
4 pages in RevTex with 4 figures