Multiple phase transitions in the generalized Curie-Weiss model.

DOI10.1007/BF01016409zbMath1083.82513OpenAlexW1972215196MaRDI QIDQ1963478

Richard S. Ellis, Karl-Theodor Eisele

Publication date: 2 February 2000

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

Full work available at URL: https://doi.org/10.1007/bf01016409

zbMATH Keywords

large deviationsfirst-order phase transitionsecond-order phase transitiongeneralized Curie-Weiss modelspecific Gibbs free energy

Mathematics Subject Classification ID

Large deviations (60F10) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (8)

Coexistence of stable limit cycles in a generalized Curie-Weiss model with dissipation ⋮ A Curie-Weiss model of self-organized criticality ⋮ Non-convex multipartite ferromagnets ⋮ The Cramér condition for the Curie-Weiss model of SOC ⋮ Interface in a one-dimensional Ising spin system ⋮ Fluctuations for the partition function of Ising models on Erdös-Rényi random graphs ⋮ Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs ⋮ Small random perturbation of a classical mean field model

Cites Work

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• Symmetry breaking and random waves for magnetic systems on a circle
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Existence and uniqueness of DLR measures for unbounded spin systems
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• The Mayer Theory of Condensation Tested Against a Simple Model of the Imperfect Gas

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