The Ehrenfest wind-tree model: periodic directions, recurrence, diffusion
Dynamical Systems
2012-01-19 v1 Classical Physics
Abstract
We study periodic wind-tree models, unbounded planar billiards with periodically located rectangular obstacles. For a class of rational parameters we show the existence of completely periodic directions, and recurrence; for another class of rational parameters, there are directions in which all trajectories escape, and we prove a rate of escape for almost all directions. These results extend to a dense of parameters.
Keywords
Cite
@article{arxiv.0912.2891,
title = {The Ehrenfest wind-tree model: periodic directions, recurrence, diffusion},
author = {Pascal Hubert and Samuel Lelievre and Serge Troubetzkoy},
journal= {arXiv preprint arXiv:0912.2891},
year = {2012}
}