Ensemble inequivalence: Landau theory and the ABC model

DOI10.1088/1742-5468/2012/12/P12017zbMath1456.82346arXiv1210.3788OpenAlexW3103868197MaRDI QIDQ3301323

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Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3788

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Foundations of equilibrium statistical mechanics (82B03)

Related Items (5)

Sampling microcanonical measures of the 2D Euler equations through Creutz’s algorithm: a phase transition from disorder to order when energy is increased ⋮ Phase transitions in Thirring’s model ⋮ Nonequilibrium statistical mechanics of systems with long-range interactions ⋮ Phase diagram of the repulsive Blume–Emery–Griffiths model in the presence of an external magnetic field on a complete graph ⋮ Phase transitions in the unconstrained ensemble

Cites Work

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• Statistical mechanics of gravitating systems
• On the dynamical behavior of the ABC model
• Phase fluctuations in the ABC model
• Phase diagram of the ABC model on an interval
• Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process
• Long range correlations and phase transitions in non-equilibrium diffusive systems
• Classification of phase transitions and ensemble inequivalence, in systems with long range interactions
• The grand canonicalABCmodel: a reflection asymmetric mean-field Potts model
• Anomalous long-range correlations at a non-equilibrium phase transition
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
• Statistical Mechanics of systems with long range interactions

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