Diffusion for the periodic wind-tree model
classification
🧮 math.DS
math-phmath.MP
keywords
billiarddiffusionmodelperiodicscattererswind-treeangledisposed
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.