The first encounter of two billiard particles of small radius
Dynamical Systems
2016-03-25 v1
Abstract
We prove that the time of the first collision between two particles in a Sinai billiard table converges weakly to an exponential distribution when time is rescaled by the inverse of the radius of the particles. This results provides a first step in studying the energy evolution of hard ball systems in the rare interaction limit.
Keywords
Cite
@article{arxiv.1603.07590,
title = {The first encounter of two billiard particles of small radius},
author = {Dmitry Dolgopyat and Péter Nándori},
journal= {arXiv preprint arXiv:1603.07590},
year = {2016}
}