Long range order in a hard disk model in statistical mechanics
Mathematical Physics
2014-05-14 v1 math.MP
Abstract
We model two-dimensional crystals by a configuration space in which every admissible configuration is a hard disk configuration and a perturbed version of some triangular lattice with side length one. In this model we show that, under the uniform distribution, expected configurations in a given box are arbitrarily close to some triangular lattice whenever the particle density is chosen sufficiently high. This choice can be made independent of the box size.
Keywords
Cite
@article{arxiv.1311.5523,
title = {Long range order in a hard disk model in statistical mechanics},
author = {Alexisz Tamás Gaál},
journal= {arXiv preprint arXiv:1311.5523},
year = {2014}
}
Comments
10 pages, 1 figure