New weakly periodic Gibbs measures of Ising model on Cayley tree

DOI10.3103/S1066369X15110055zbMath1344.60097MaRDI QIDQ906416

Muzaffar Rahmatullaev

Publication date: 21 January 2016

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Ising modelCayley treeGibbs measureweakly periodic measure

Mathematics Subject Classification ID

Trees (05C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order \(k=2\) ⋮ Extremality of translation-invariant Gibbs measures for the Potts–SOS model on the Cayley tree

Cites Work

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• 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
• Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model
• Gibbs Measures on Cayley Trees
• On Pure Phases of the Ising Model on the Bethe Lattices
• Gibbs States on Countable Sets

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