Statistical Properties of the Wind-Tree Model

Date

2021-04-27

Journal Title

Journal ISSN

Volume Title

Publisher

YU Faculty Profile

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.

Description

Senior honors thesis / Embargo to 27 April 2023

Keywords

wind-tree model, statistical properties

Citation

Rapp, E. (2021, April). Statistical Properties of the Wind-Tree Model [Bachelor's honors thesis, Yeshiva University].