Nonconcave entropies from generalized canonical ensembles
Statistical Mechanics
2007-05-23 v1
Abstract
It is well-known that the entropy of the microcanonical ensemble cannot be calculated as the Legendre transform of the canonical free energy when the entropy is nonconcave. To circumvent this problem, a generalization of the canonical ensemble which allows for the calculation of nonconcave entropies was recently proposed. Here, we study the mean-field Curie-Weiss-Potts spin model and show, by direct calculations, that the nonconcave entropy of this model can be obtained by using a specific instance of the generalized canonical ensemble known as the Gaussian ensemble.
Cite
@article{arxiv.cond-mat/0605213,
title = {Nonconcave entropies from generalized canonical ensembles},
author = {Marius Costeniuc and Richard S. Ellis and Hugo Touchette},
journal= {arXiv preprint arXiv:cond-mat/0605213},
year = {2007}
}
Comments
5 pages, RevTeX4, 3 figures (best viewed in ps)