Description
Senior honors thesis / Embargo to 27 April 2023
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.
Citation
Rapp, E. (2021, April). Statistical Properties of the Wind-Tree Model [Bachelor's honors thesis, Yeshiva University].
*This is constructed from limited available data and may be imprecise.
