The \(p\)-adic Potts model on the Cayley tree of order three

DOI10.1007/s11232-013-0105-2zbMath1286.82004OpenAlexW2142600608MaRDI QIDQ2449551

Hasan Akin, Farrukh Mukhamedov

Publication date: 8 May 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-013-0105-2

zbMATH Keywords

phase transitionPotts model\(p\)-adic number\(p\)-adic quasi-Gibbs measure

Mathematics Subject Classification ID

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

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Extremality of some Gibbs measures for the Blume–Capel HC-model on a Cayley tree, Chaos in p-adic Statistical Lattice Models: Potts Model, Translation-invariant \(p\)-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree, On periodic Gibbs measures of \(p\)-adic Potts model on a Cayley tree, \(p\)-adic mathematical physics: the first 30 years, Chaotic behavior of the \(p\)-adic Potts-Bethe mapping, p$$ p $$‐Adic phase transitions for countable state Potts model, On the strong phase transition for the one-dimensional countable statep-adic Potts model, Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree, Local descriptions of roots of cubic equations over \(p\)-adic fields, A \(p\)-adic generalized Gibbs measure for the Ising model on a Cayley tree, On a generalized \(p\)-adic Gibbs measure for Ising model on trees, Periodic \(p\)-adic Gibbs measures of \(q\)-state Potts model on Cayley trees. I: The chaos implies the vastness of the set of \(p\)-adic Gibbs measures, Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree, On descriptions of all translation invariant \(p\)-adic Gibbs measures for the Potts model on the Cayley tree of order three, Recurrence equations over trees in a non-Archimedean context

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