Translation-invariant \(p\)-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree

DOI10.1134/S0040577916040127zbMath1342.82041OpenAlexW2464471365MaRDI QIDQ2628907

Farrukh Mukhamedov, O. Kh. Khakimov, M. Kh. Saburov

Publication date: 19 July 2016

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

Full work available at URL: https://doi.org/10.1134/s0040577916040127

zbMATH Keywords

phase transitiondynamical systemCayley tree\(p\)-adic numbers\(p\)-adic Gibbs measureIsing-Vannimenus model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical thermodynamics (82B30)

Related Items (5)

Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ Chaotic behavior of the p-adic Potts–Bethe mapping II ⋮ On Julia set and chaos in \(p\)-adic Ising model on the Cayley tree ⋮ 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 ⋮ On descriptions of all translation invariant \(p\)-adic Gibbs measures for the Potts model on the Cayley tree of order three

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