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math-ph2000★ 1 cited
Nonequivalent Statistical Equilibrium Ensembles and Refined Stability Theorems for Most Probable Flows
R. S. Ellis, K. Haven, B. Turkington
Statistical equilibrium models of coherent structures in two-dimensional and barotropic quasi-geostrophic turbulence are formulated using canonical and microcanonical ensembles, an…
math.PR2000★ 22 cited
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…