DIFFUSION FOR THE PERIODIC WIND-TREE MODEL

作者:Delecroix Vincent*; Hubert Pascal; Lelievre Samuel
来源:Annales Scientifiques de l'Ecole Normale Superieure, 2014, 47(6): 1085-1110.
DOI:10.24033/asens.2234

摘要

The periodic wind-tree model is an infinite billiard in the plane with identical rectangular scatterers placed at each integer point. We prove that independently of the size of scatters and generically with respect to the angle, the polynomial diffusion rate in this billiard is 2/3.

  • 出版日期2014-12