Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree

DOI10.1088/1742-5468/ABAECDzbMath1459.82033arXiv2007.10676OpenAlexW3085051699MaRDI QIDQ5856901

Farhod Halimjonovich Haydarov, Golibjon Isroilovich Botirov

Publication date: 30 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.10676

zbMATH Keywords

spin glassesgeneralized Gibbs ensemblestochastic thermodynamicsintegrable spin chains and vertex models

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

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

Cites Work

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• Gibbs measures and phase transitions.
• Random surfaces with two-sided constraints: An application of the theory of dominant ground states
• There are no nice interfaces in \((2+1)\)-dimensional SOS models in random media.
• Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields
• Gradient Gibbs measures for the SOS model with countable values on a Cayley tree
• New phase transitions of the Ising model on Cayley trees
• Gibbs Measures on Cayley Trees
• Gradient Gibbs measures and fuzzy transformations on trees
• Onq-component models on the Cayley tree: the general case
• GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE

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