Diffusion for the periodic wind-tree model
Dynamical Systems
2017-07-19 v4 Mathematical Physics
math.MP
Abstract
The periodic wind-tree model is an infinite billiard in the plane with identical rectangular scatterers disposed at each integer point. We prove that independently of the size of the scatterers, generically with respect to the angle, the polynomial diffusion rate in this billiard is 2/3.
Keywords
Cite
@article{arxiv.1107.1810,
title = {Diffusion for the periodic wind-tree model},
author = {Vincent Delecroix and Pascal Hubert and Samuel Lelièvre},
journal= {arXiv preprint arXiv:1107.1810},
year = {2017}
}
Comments
30 pages, 8 figures; enhanced introduction