Gradient Gibbs measures of an SOS model on Cayley trees: 4-periodic boundary laws

DOI10.1016/S0034-4877(22)00052-0zbMath1495.82005arXiv2110.10078MaRDI QIDQ2079784

Utkir A. Rozikov, Farhod Halimjonovich Haydarov

Publication date: 30 September 2022

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

Full work available at URL: https://arxiv.org/abs/2110.10078

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)

Related Items (2)

Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees ⋮ Fixed points of an infinite dimensional operator related to Gibbs measures

Cites Work

• Gibbs measures and phase transitions.
• Countable state space Markov random fields and Markov chains on trees
• Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
• Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields
• 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
• Nonexistence of random gradient Gibbs measures in continuous interface models in \(d=2\)
• Phase coexistence of gradient Gibbs states
• Gibbs Measures on Cayley Trees
• 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
• Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree

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