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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
98/2006

Nonconcave entropies from generalized canonical ensembles

Marius Costeniuc, Richard S. Ellis and Hugo Touchette

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 that 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.

Received:
Sep 14, 2006
Published:
Sep 14, 2006
PACS:
05.20.-y, 05.20.Gg, 64.40.-i

Related publications

inJournal
2006 Repository Open Access
Marius Costeniuc, Richard S. Ellis and Hugo Touchette

Nonconcave entropies from generalized canonical ensembles

In: Physical review / E, 74 (2006), p. 010105