POTTS MODEL WITH INVISIBLE COLORS: RANDOM-CLUSTER REPRESENTATION AND PIROGOV–SINAI ANALYSIS

DOI10.1142/S0129055X12500043zbMath1244.82017arXiv1109.0189OpenAlexW3125643525MaRDI QIDQ2892021

Siamak Taati, Aernout C. D. van Enter, Giulio Iacobelli

Publication date: 18 June 2012

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0189

zbMATH Keywords

phase transitionsymmetry breakingbiased random-cluster modelPotts model with invisible colors

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Changeover phenomenon in randomly colored Potts models ⋮ Ising model with invisible states on scale-free networks

Cites Work

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• Interfaces in the Potts model. I: Pirogov-Sinai theory of the Fortuin- Kasteleyn representation
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• A unified approach to phase diagrams in field theory and statistical mechanics
• Gibbs measures and phase transitions
• First-Order Transition in Potts Models with "Invisible" States: Rigorous Proofs
• Phase Transition in Potts Model with Invisible States
• Probability on Graphs
• Thermodynamic Formalism
• The Random-Cluster Model

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