Statistical Properties of the Wind-Tree Model

Abstract

Ehrenfest's wind-tree model is a dynamical system representing the motion of a billiard on an infinite plane with periodic rectangular scatterers. Previous research has shown that the diffusion rate of the two-dimensional wind-tree model is ½. Our project provides computer code to simulate the wind-tree model in any dimension. We replicate prior results in two-dimensions and predict diffusion rates for the wind-tree model in higher dimensions.