A Solidification Phenomenon in Random Packings
Statistical Mechanics
2007-05-23 v1
Abstract
We prove that uniformly random packings of copies of a certain simply-connected figure in the plane exhibit global connectedness at all sufficiently high densities, but not at low densities.
Cite
@article{arxiv.cond-mat/0512686,
title = {A Solidification Phenomenon in Random Packings},
author = {Lewis Bowen and Russell Lyons and Charles Radin and Peter Winkler},
journal= {arXiv preprint arXiv:cond-mat/0512686},
year = {2007}
}