On \(P\)-adic \(\lambda\)-model on the Cayley tree. II: Phase transitions

DOI10.1016/S0034-4877(15)60022-2zbMath1321.82020MaRDI QIDQ2349744

Farrukh Mukhamedov, Mutlay Doğan

Publication date: 17 June 2015

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

phase transition\(p\)-adic numbers\(p\)-adic quasi Gibbs measure\(\lambda\)-modelCaley tree

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Fixed-point theorems (47H10) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Difference operators (39A70) Formally (p)-adic fields (12J12)

Related Items (9)

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 Julia set and chaos in \(p\)-adic Ising model on the Cayley tree ⋮ On the existence of phase transition for the 1D \(p\)-adic countable state Potts model ⋮ The \(p\)-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures ⋮ Onp-adic Ising–Vannimenus model on an arbitrary order Cayley tree ⋮ Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree ⋮ Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree ⋮ Phase transition of mixed type \(p\)-adic \({\lambda}\)-Ising model on Cayley tree

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