The low-temperature phase of Kac-Ising models

DOI10.1007/BF02181490zbMath0929.60080arXivcond-mat/9605032OpenAlexW3105915172MaRDI QIDQ1285044

Anton Bovier, Miloš Zahradník

Publication date: 16 January 2000

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9605032

zbMATH Keywords

phase transitionIsing modelPirogov-Sinai theoryPeierls contourKac interaction

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• Convergence of path measures arising from a mean field or polaron type interaction
• Interfaces and typical Gibbs configurations for one-dimensional Kac potentials
• Distribution of overlap profiles in the one-dimensional Kac-Hopfield model
• Large deviation principles for the Hopfield model and the Kac-Hopfield model
• Corrections to the critical temperature in 2D Ising systems with Kac potentials
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
• Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition
• Prescribing a System of Random Variables by Conditional Distributions
• On Ising's model of ferromagnetism

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