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

   
@article{ECP3047,
	author = {Alexisz Gaál},
	title = {Long-range order in a hard disk model in statistical mechanics},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {19},
	year = {2014},
	keywords = {spontaneous symmetry breaking; hard-core potential; rigidity estimate},
	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.
},
	pages = {no. 9, 1-9},
	issn = {1083-589X},
	doi = {10.1214/ECP.v19-3047},    
        url = {http://ecp.ejpecp.org/article/view/3047}}