Periodic and weakly periodic ground states corresponding to subgroups of index three for the Ising model on Cayley tree

DOI10.1016/S0034-4877(21)00072-0OpenAlexW3210465942MaRDI QIDQ2067422

D. O. Egamov, Farhod Halimjonovich Haydarov, Muzaffar Rahmatullaev

Publication date: 18 January 2022

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(21)00072-0

zbMATH Keywords

ground stateconfigurationIsing modelCayley tree

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (2)

Periodic and weakly periodic ground states corresponding to the subgroups of index three for the Ising model on the Cayley tree of order three ⋮ Periodic ground states for the mixed spin Ising model with competing interactions on a Cayley tree

Cites Work

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• Countable state space Markov random fields and Markov chains on trees
• Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
• Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree
• Partition structures of the group representation of the Cayley tree into cosets by finite-index normal subgroups and their applications to the description of periodic Gibbs distributions
• On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice.
• New normal subgroups for the group representation of the Cayley tree
• On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras
• Periodic Gibbs measures for the Potts model on the Cayley tree
• Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree
• A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree
• Periodic Gibbs measures for the Ising model with competing interactions
• On Pure Phases of the Ising Model on the Bethe Lattices
• On new weakly periodic Gibbs measures of Ising model on a Cayley tree
• Gibbs States on Countable Sets

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