Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-05-16
Physica A 386, 212 (2007)
Physics
Condensed Matter
Statistical Mechanics
9 pages, 3 figures
Scientific paper
10.1016/j.physa.2007.08.015
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.
Barr'e Julien
Goncalves Bruno
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