The extremality of disordered phases for the mixed spin-(1,1/2) Ising model on a Cayley tree of arbitrary order

DOI10.1088/1742-5468/ad1be2MaRDI QIDQ6620182

Farrukh Mukhamedov, Hasan Akin

Publication date: 16 October 2024

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

zbMATH Keywords

phase transitionGibbs measuredisordered phaseIsing model with mixed spin-(1,1/2)

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Reconstruction for the Potts model
• Extremity of the disordered phase in the Ising model on the Bethe lattice
• Gibbs measures and phase transitions
• Information flow on trees
• Extremality of the translation-invariant Gibbs measures for the Potts model on the Cayley tree
• The Ising model and percolation on trees and tree-like graphs
• Reconstruction on trees: Beating the second eigenvalue
• On the extremality of the disordered state for the Ising model on the Bethe lattice
• Gibbs Measures on Cayley Trees
• Gibbs measures and free energies of Ising–Vannimenus model on the Cayley tree
• Extremality of translation-invariant Gibbs measures for the Potts–SOS model on the Cayley tree
• Fuzzy transformations and extremality of Gibbs measures for the potts model on a Cayley tree
• Phase transition for the Ising model with mixed spins on a Cayley tree
• Fast mixing for independent sets, colorings, and other models on trees
• Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes
• Observables at infinity and states with short range correlations in statistical mechanics
• Quantitative behavior of (1,1/2)-MSIM on a Cayley tree

This page was built for publication: The extremality of disordered phases for the mixed spin-(1,1/2) Ising model on a Cayley tree of arbitrary order