131 citations · 692 across the 11 of their papers we have counts for
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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…
Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model
R. S. Ellis, P. Otto, H. Touchette
In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a…
The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble
M. Costeniuc, R. S. Ellis, H. Touchette +1
Shortened abstract: Microcanonical equilibrium macrostates are characterized as the solutions of a constrained minimization problem, while canonical equilibrium macrostates are cha…
Asymptotics of superstatistics
Hugo Touchette, Christian Beck
Superstatistics are superpositions of different statistics relevant for driven nonequilibrium systems with spatiotemporal inhomogeneities of an intensive variable (e.g., the invers…
An Introduction to the Thermodynamic and Macrostate Levels of Nonequivalent Ensembles
H. Touchette, R. S. Ellis, B. Turkington
This short paper presents a nontechnical introduction to the problem of nonequivalent microcanonical and canonical ensembles. Both the thermodynamic and the macrostate levels of de…