### Long-range order in a hard disk model in statistical mechanics

**Alexisz Tamás Gaál**

*(University of Munich)*

#### 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.

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Pages: 1-9

Publication Date: February 16, 2014

DOI: 10.1214/ECP.v19-3047

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