New phase transitions of the Ising model on Cayley trees

DOI10.1007/s10955-013-0836-3zbMath1292.82005arXiv1306.5905OpenAlexW1988904053MaRDI QIDQ2440335

Daniel Gandolfo, Farhod Halimjonovich Haydarov, Jean Ruiz, Utkir A. Rozikov

Publication date: 18 March 2014

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

Full work available at URL: https://arxiv.org/abs/1306.5905

zbMATH Keywords

free energyphase transitionsIsing modelCayley treeGibbs measureboundary condition

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

On an algebraic property of the disordered phase of the Ising model with competing interactions on a Cayley tree, Using new approaches to obtain Gibbs measures of Vannimenus model on a Cayley tree, New class of Gibbs measures for two-state hard-core model on a Cayley tree, \(p\)-adic boundary laws and Markov chains on trees, On quantum Markov chains on Cayley tree. III: Ising model, Ising model on Cayley trees: a new class of Gibbs measures and their comparison with known ones, Free energies of the Potts model on a Cayley tree, Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree

Cites Work

• A manifold of pure Gibbs states of the Ising model on a Cayley tree
• Gibbs measures and phase transitions
• On the phase diagram of the random field Ising model on the Bethe lattice
• On free energies of the Ising model on the Cayley tree
• GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS