On P-adic λ-model on the Cayley tree

DOI10.1063/1.1792932zbMath1064.82006OpenAlexW2477912028MaRDI QIDQ3024092

Murod Khamraev, Farrukh Mukhamedov

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1792932

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Miscellaneous applications of number theory (11Z05)

Related Items (24)

On a class of rational \(p\)-adic dynamical systems ⋮ 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 ⋮ On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the 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 ⋮ A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two ⋮ The \(p\)-adic Potts model on the Cayley tree of order three ⋮ On non-Archimedean recurrence equations and their applications ⋮ Phase transitions forp-adic Potts model on the Cayley tree of order three ⋮ On the strong phase transition for the one-dimensional countable statep-adic Potts model ⋮ Phase transition for thep-adic Ising–Vannimenus model on the Cayley tree ⋮ Onp-adic Ising–Vannimenus model on an arbitrary order Cayley tree ⋮ Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree ⋮ A \(p\)-adic generalized Gibbs measure for the Ising model on a Cayley tree ⋮ On \(p\)-adic quasi Gibbs measures for \(q+1\)-state Potts model on the Cayley tree ⋮ On a generalized \(p\)-adic Gibbs measure for Ising model on trees ⋮ Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree ⋮ Phase transition of mixed type \(p\)-adic \({\lambda}\)-Ising model on Cayley tree ⋮ On the existence of generalized Gibbs measures for the one-dimensional \(p\)-adic countable state Potts model ⋮ On \(P\)-adic \(\lambda\)-model on the Cayley tree. II: Phase transitions ⋮ Recurrence equations over trees in a non-Archimedean context

Cites Work

• Existence of a phase transition for the Potts \(p\)-adic model on the set \(\mathbb{Z}\)
• On infinite products of non-Archimedean measure spaces
• \(p\)-adic valued probability measures
• THE WAVE FUNCTION OF THE UNIVERSE AND p-ADIC GRAVITY
• p-adic quantum mechanics with p-adic valued functions

This page was built for publication: On P-adic λ-model on the Cayley tree