On descriptions of all translation invariant \(p\)-adic Gibbs measures for the Potts model on the Cayley tree of order three

DOI10.1007/s11040-015-9194-5zbMath1456.82181OpenAlexW1693023357MaRDI QIDQ255740

Mohd Ali Khameini Ahmad, Mansoor Saburov

Publication date: 9 March 2016

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-015-9194-5

zbMATH Keywords

\(p\)-adic number\(p\)-adic Gibbs measure\(p\)-adic Potts model

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) Cubic and quartic Diophantine equations (11D25) (p)-adic and power series fields (11D88)

Related Items

Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ Chaotic behavior of the p-adic Potts–Bethe mapping II ⋮ Chaotic behavior of the \(p\)-adic Potts-Bethe mapping ⋮ The description of generalized translation-invariant \(p\)-adic Gibbs measures for the Potts model on the Cayley tree of order three ⋮ Trinomial equations of degree 6 over \(\mathbb{Q}_p \) ⋮ Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree ⋮ Local descriptions of roots of cubic equations over \(p\)-adic fields ⋮ 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

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