Zero density of open paths in the Lorentz mirror model for arbitrary mirror probability
Statistical Mechanics
2015-06-22 v1 Cellular Automata and Lattice Gases
Abstract
We show, incorporating results obtained from numerical simulations, that in the Lorentz mirror model, the density of open paths in any finite box tends to 0 as the box size tends to infinity, for any mirror probability.
Cite
@article{arxiv.1406.4796,
title = {Zero density of open paths in the Lorentz mirror model for arbitrary mirror probability},
author = {Atahualpa S. Kraemer and David P. Sanders},
journal= {arXiv preprint arXiv:1406.4796},
year = {2015}
}
Comments
10 pages, 5 figures