Potts models in the continuum. Uniqueness and exponential decay in the restricted ensembles

DOI10.1007/s10955-008-9603-2zbMath1161.82313arXiv0803.2767OpenAlexW3103924397MaRDI QIDQ1012643

Immacolata Merola, Yvon Vignaud, Errico Presutti, Anna De Masi

Publication date: 22 April 2009

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

Full work available at URL: https://arxiv.org/abs/0803.2767

zbMATH Keywords

disagreement percolationcontinuum particle systemsDobrushin-Shlosman condition

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Many-body theory; quantum Hall effect (81V70) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

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Cites Work

• Unnamed Item
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• Unnamed Item
• On the Gibbs phase rule in the Pirogov-Sinai regime
• First-order phase transition in Potts models with finite-range interactions
• Scaling limits in statistical mechanics and microstructures in continuum mechanics
• Coexistence of ordered and disordered phases in Potts Models in the continuum
• The low-temperature phase of Kac-Ising models
• Liquid-vapor phase transitions for systems with finite-range interactions
• Percolation and the hard-core lattice gas model
• Disagreement percolation in the study of Markov fields
• Phase diagram of Ising systems with additional long range forces
• A uniqueness condition for Gibbs measures, with application to the 2- dimensional Ising antiferromagnet
• Completely analytical interactions: Constructive description
• Phase transition in continuum Potts models
• Mean-field theory of the Potts gas

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