79 citations · 239 across the 7 of their papers we have counts for
7 papers
Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point
Marius Costeniuc, Richard S. Ellis, Peter Tak-Hun Otto
We derive probabilistic limit theorems that reveal the intricate structure of the phase transitions in a mean-field version of the Blume-Emery-Griffiths model. These probabilistic…
Global optimization, the Gaussian ensemble, and universal ensemble equivalence
M. Costeniuc, R. S. Ellis, H. Touchette +1
Shortened abstract: Given a constrained minimization problem, under what conditions does there exist a related, unconstrained problem having the same minimum points? This basic que…
Nonconcave entropies from generalized canonical ensembles
Marius Costeniuc, Richard S. Ellis, Hugo Touchette
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 circ…
Metastability within the generalized canonical ensemble
H. Touchette, M. Costeniuc, R. S. Ellis +1
We discuss a property of our recently introduced generalized canonical ensemble (J. Stat. Phys. 119 (2005) 1283). We show that this ensemble can be used to transform metastable or…
Generalized canonical ensembles and ensemble equivalence
M. Costeniuc, R. S. Ellis, H. Touchette +1
This paper is a companion article to our previous paper (J. Stat. Phys. 119, 1283 (2005), cond-mat/0408681), which introduced a generalized canonical ensemble obtained by multiplyi…
Complete Analysis of Phase Transitions and Ensemble Equivalence for the Curie-Weiss-Potts Model
Marius Costeniuc, Richard S. Ellis, Hugo Touchette
Using the theory of large deviations, we analyze the phase transition structure of the Curie-Weiss-Potts spin model, which is a mean-field approximation to the Potts model. This an…