Gibbs measures for the SOS model with four states on a Cayley tree

DOI10.1007/s11232-006-0120-7zbMath1177.82031OpenAlexW2006263860MaRDI QIDQ1047013

Sh. A. Shoyusupov, Utkir A. Rozikov

Publication date: 3 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-006-0120-7

zbMATH Keywords

configurationCayley treeGibbs measureperiodic Gibbs measure

Mathematics Subject Classification ID

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

Related Items

Gibbs measures for the three-state SOS model with external field on a Cayley tree, On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field, Translation-invariant Gibbs measures for fertile three-state ``hard core models on a Cayley tree, Extremality of translation-invariant phases for a three-state SOS-model on the binary tree, Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree, GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS, A contour method on Cayley trees, Gradient Gibbs measures for the SOS model with countable values on a Cayley tree, Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order \(k=2\), Fertile HC models with three states on a Cayley tree

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