Phase transition for thep-adic Ising–Vannimenus model on the Cayley tree

DOI10.1088/1742-5468/2014/10/P10031zbMath1456.82160MaRDI QIDQ3301767

Mutlay Doğan, Hasan Akin, Farrukh Mukhamedov

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Mathematics Subject Classification ID

Trees (05C05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Exactly solvable models; Bethe ansatz (82B23) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

Translation-invariant \(p\)-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree ⋮ The description of generalized translation-invariant \(p\)-adic Gibbs measures for the Potts model on the Cayley tree of order three ⋮ Onp-adic Ising–Vannimenus model on an arbitrary order Cayley tree ⋮ Local descriptions of roots of cubic equations over \(p\)-adic fields ⋮ Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree ⋮ Phase transition of mixed type \(p\)-adic \({\lambda}\)-Ising model on Cayley tree ⋮ Phase transition and Gibbs measures of Vannimenus model on semi-infinite Cayley tree of order three

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solvability of cubic equations in \(p\)-adic integers \((p>3)\)
• On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree
• \(p\)-adic Gibbs quasimeasures for the Vannimenus model on a Cayley tree
• Extensions of p-adic vector measures
• On p-adic vector measure spaces
• On spaces of \(p\)-adic vector measures
• Generalized probabilities taking values in non-Archimedean fields and in topological groups
• Gibbs measures and phase transitions
• The measure-theoretical approach to \(p\)-adic probability theory
• A random walk on \(p\)-adics -- the generator and its spectrum
• Existence of a phase transition for the Potts \(p\)-adic model on the set \(\mathbb{Z}\)
• On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice.
• Number theory as the ultimate physical theory
• On \(p\)-adic quasi Gibbs measures for \(q+1\)-state Potts model on the Cayley tree
• On equation \(x^q=a\) over \(\mathbb Q_p\)
• Measure-valued branching processes associated with random walks on \(p\)-adics.
• On Gibbs measures of \(p\)-adic Potts model on the Cayley tree.
• \(p\)-adic valued probability measures
• Non-Archimedean valued quasi-invariant descending at infinity measures
• Applied algebraic dynamics
• On \(p\)-adic Gibbs measures for Ising model with four competing interactions
• The problem of uniqueness of a Gibbsian random field and the problem of phase transitions
• Gibbs Measures on Cayley Trees
• On cubic equations over p-adic fields
• On P-adic λ-model on the Cayley tree
• 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
• THE WAVE FUNCTION OF THE UNIVERSE AND p-ADIC GRAVITY
• Application ofp-adic analysis to models of breaking of replica symmetry
• p-adic Mahler measures
• Onp-adic Gibbs measures of the countable state Potts model on the Cayley tree
• Prescribing a System of Random Variables by Conditional Distributions
• Extension of measures to infinite dimensional spaces over \(p\)-adic field.

This page was built for publication: Phase transition for thep-adic Ising–Vannimenus model on the Cayley tree