Nonconcave entropies from generalized canonical ensembles

Details Nonconcave entropies from generalized canonical ensembles Nonconcave entropies from generalized canonical ensembles

2006-05-09

arxiv.org/abs/cond-mat/0605213v1

Phys. Rev. E 74, 010105(R), 2006.

Physics

Condensed Matter

Statistical Mechanics

5 pages, RevTeX4, 3 figures (best viewed in ps)

Scientific paper

10.1103/PhysRevE.74.010105

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.

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