On a generalized \(p\)-adic Gibbs measure for Ising model on trees

DOI10.1134/S2070046614030042zbMath1311.82011MaRDI QIDQ2263144

Otabek Khakimov

Publication date: 17 March 2015

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

treeconfigurationIsing model\(p\)-adic numbersGibbs measuresCayley trees

Mathematics Subject Classification ID

Trees (05C05) 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

Chaotic behavior of the p-adic Potts–Bethe mapping II ⋮ On Julia set and chaos in \(p\)-adic Ising model on the Cayley tree ⋮ Some non-periodic \(p\)-adic generalized Gibbs measures for the Ising model on a Cayley tree of order \(k\) ⋮ The \(p\)-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures ⋮ p$$ p $$‐Adic phase transitions for countable state Potts model ⋮ A \(p\)-adic generalized Gibbs measure for the Ising model on a Cayley tree ⋮ Non periodic \(p\)-adic generalized Gibbs measure for Ising model ⋮ On \(G_2\)-periodic quasi Gibbs measures of \(p\)-adic Potts model on a Cayley tree ⋮ On periodic \(p\)-adic generalized Gibbs measures for Ising model on a Cayley tree ⋮ On \(P\)-adic \(\lambda\)-model on the Cayley tree. II: Phase transitions ⋮ Recurrence equations over trees in a non-Archimedean context

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