Ensemble inequivalence in random graphs

Julien Barré and Bruno Gonçalves

Physica A: Statistical Mechanics and its Applications, 2007, vol. 386, issue 1, 212-218

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 a 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.

Keywords: Ensemble inequivalence; Negative specific heat; Random graphs; Large deviations (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:386:y:2007:i:1:p:212-218

DOI: 10.1016/j.physa.2007.08.015

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