PIROGOV–SINAI THEORY WITH NEW CONTOURS FOR SYMMETRIC MODELS

DOI10.1142/S0219887808002928zbMath1206.82005arXiv0708.0067OpenAlexW2964042395MaRDI QIDQ3519811

Utkir A. Rozikov, Nasir N. Ganikhodjaev

Publication date: 19 August 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0067

zbMATH Keywords

contourconfigurationGibbs measurelattice model

Mathematics Subject Classification ID

Trees (05C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• On the Gibbs phase rule in the Pirogov-Sinai regime
• On the uniqueness of Gibbs states in the Pirogov-Sinai theory
• Partition function zeros at first-order phase transitions: Pirogov-Sinai theory
• A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree
• On \(q\)-component models on Cayley tree: contour method
• On Ising's model of ferromagnetism

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