The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems
From MaRDI portal
Publication:624926
DOI10.4007/ANNALS.2010.172.1949zbMATH Open1211.82011arXiv0706.4395OpenAlexW2963826015MaRDI QIDQ624926
Author name not available (Why is that?)
Publication date: 11 February 2011
Published in: (Search for Journal in Brave)
Abstract: The periodic Lorentz gas describes the dynamics of a point particle in a periodic array of spherical scatterers, and is one of the fundamental models for chaotic diffusion. In the present paper we investigate the Boltzmann-Grad limit, where the radius of each scatterer tends to zero, and prove the existence of a limiting distribution for the free path length of the periodic Lorentz gas. We also discuss related problems, such as the statistical distribution of directions of lattice points that are visible from a fixed position.
Full work available at URL: https://arxiv.org/abs/0706.4395
No records found.
No records found.
This page was built for publication: The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q624926)
