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2014 Long-range order in a hard disk model in statistical mechanics
Alexisz Gaál
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Electron. Commun. Probab. 19: 1-9 (2014). DOI: 10.1214/ECP.v19-3047

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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Alexisz Gaál. "Long-range order in a hard disk model in statistical mechanics." Electron. Commun. Probab. 19 1 - 9, 2014. https://doi.org/10.1214/ECP.v19-3047

Information

Accepted: 16 February 2014; Published: 2014
First available in Project Euclid: 7 June 2016

zbMATH: 1310.60138
MathSciNet: MR3167882
Digital Object Identifier: 10.1214/ECP.v19-3047

Subjects:
Primary: 60K35
Secondary: 82B20, 82B21

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