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arXiv:0705.2385cond-mat.stat-mech

Ensemble inequivalence in random graphs

Julien Barre, Bruno Goncalves

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Abstract

We present a complete analytical solution of a system of Potts spins on a random k-regular graph in both the canonical and microcanonical ensembles, using the Large Deviation Cavity Method (LDCM). The solution is shown to be composed of three different branches, resulting in an non-concave entropy function.The analytical solution is confirmed with numerical Metropolis and Creutz simulations and our results clearly demonstrate the presence of a region with negative specific heat and, consequently, ensemble inequivalence between the canonical and microcanonical ensembles.

arXiv comments
9 pages, 3 figures
Journal reference
Physica A 386, 212 (2007)
DOI
doi:10.1016/j.physa.2007.08.015
Subjects
cond-mat.stat-mechStatistical Mechanics

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  1. Negative Temperature 1 comment

    • Cool. I actually worked on this back in the early days of my PhD (https://arxiv.org/pdf/0705.2385). Never expected to see it on HN

      Anon84View on HNParent context

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