First-order phase transition in Potts models with finite-range interactions

DOI10.1007/s10955-006-9230-8zbMath1114.82007arXivmath-ph/0609051OpenAlexW3106219307MaRDI QIDQ878368

Immacolata Merola, Thierry Gobron

Publication date: 26 April 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0609051

zbMATH Keywords

Potts modelKac potentialsPirogov-Sinai theoryLebowitz-Penrose limit

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

POTTS MODEL WITH INVISIBLE COLORS: RANDOM-CLUSTER REPRESENTATION AND PIROGOV–SINAI ANALYSIS, Truncated long-range percolation on oriented graphs, Limit theorems and coexistence probabilities for the Curie-Weiss Potts model with an external field, Lectures on the Ising and Potts Models on the Hypercubic Lattice, Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\), Potts models in the continuum. Uniqueness and exponential decay in the restricted ensembles, Mean field analysis of low-dimensional systems

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