Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979499 | Physica A: Statistical Mechanics and its Applications | 2007 | 7 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Julien Barré, Bruno Gonçalves,