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math.PR2005★ 37 cited
Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model
Richard S. Ellis, Peter T. Otto, Hugo 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…
math.PR2000
Large Deviation Principles and Complete Equivalence and Nonequivalence Results for Pure and Mixed Ensembles
R. S. Ellis, K. Haven, B. Turkington
We consider a general class of statistical mechanical models of coherent structures in turbulence, which includes models of two-dimensional fluid motion, quasi-geostrophic flows, a…