The equivalence of ensembles for lattice systems: Some examples and a counterexample

DOI10.1007/BF02186849zbMath0837.60096OpenAlexW2062170684WikidataQ124819899 ScholiaQ124819899MaRDI QIDQ1906416

John T. Lewis, Charles-Edouard Pfister, Wayne G. Sullivan

Publication date: 19 March 1996

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02186849

zbMATH Keywords

entropylarge deviationsequivalence of ensemblesmicrocanonicalIsing ferromagnetgrand canonicalCurie-Weiss mean-field model

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

Equivalence and nonequivalence of ensembles: thermodynamic, macrostate, and measure levels ⋮ Estimation of local microcanonical averages in two lattice mean-field models using coupling techniques ⋮ Grand canonical versus canonical ensemble: universal structure of statistics and thermodynamics in a critical region of Bose-Einstein condensation of an ideal gas in arbitrary trap ⋮ Ensemble inequivalence and Maxwell construction in the self-gravitating ring model ⋮ Nonequilibrium Markov processes conditioned on large deviations ⋮ Asymptotic equivalence of probability measures and stochastic processes ⋮ Mesoscopic modeling for continuous spin lattice systems: model problems and micromagnetics applications ⋮ Large deviations in quantum lattice systems: one-phase region ⋮ The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble ⋮ A probabilistic study of DNA denaturation

Cites Work

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• Convex Analysis
• The Spontaneous Magnetization of a Two-Dimensional Ising Model

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