Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees

DOI10.1016/S0034-4877(23)00082-4arXiv2206.00245OpenAlexW4390443076MaRDI QIDQ6189326

Utkir A. Rozikov, Nasir N. Ganikhodjaev, N. M. Khatamov

Publication date: 8 February 2024

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.00245

zbMATH Keywords

configurationCayley treeGibbs measureSOS modelgradient Gibbs measuresboundary law

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Cites Work

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• Mirror symmetry of height-periodic gradient Gibbs measures of an SOS model on Cayley trees
• Coexistence of localized Gibbs measures and delocalized gradient Gibbs measures on trees
• Gradient Gibbs measures for the SOS model with countable values on a Cayley tree
• Phase coexistence of gradient Gibbs states
• Gibbs Measures on Cayley Trees
• Gibbs States on Countable Sets
• Gradient Gibbs measures and fuzzy transformations on trees
• On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field
• Statistical Mechanics of Lattice Systems

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