A manifold of pure Gibbs states of the Ising model on a Cayley tree

DOI10.1007/s10955-012-0574-yzbMath1254.82008arXiv1207.0983OpenAlexW3098975702MaRDI QIDQ690730

Daniel Gandolfo, Jean Ruiz, Senya B. Shlosman

Publication date: 29 November 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0983

zbMATH Keywords

Ising modelCayley treeGibbs states

Mathematics Subject Classification ID

Trees (05C05) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree
• On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice.
• On Pure Phases of the Ising Model on the Bethe Lattices