On \(p\)-adic Gibbs measures for Ising model with four competing interactions

DOI10.1134/S2070046613030023zbMath1285.82013OpenAlexW1988472585MaRDI QIDQ2440379

Otabek Khakimov

Publication date: 18 March 2014

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046613030023

zbMATH Keywords

Ising model\(p\)-adic numbersGibbs measuresCayley treessplitting measurestranslation-invariant measures

Mathematics Subject Classification ID

Trees (05C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Formally (p)-adic fields (12J12)

Related Items (11)

Translation-invariant \(p\)-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree ⋮ The \(p\)-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures ⋮ \(p\)-adic Gibbs quasimeasures for the Vannimenus model on a Cayley tree ⋮ On non-Archimedean recurrence equations and their applications ⋮ Phase transition for thep-adic Ising–Vannimenus model on the Cayley tree ⋮ Onp-adic Ising–Vannimenus model on an arbitrary order Cayley tree ⋮ A \(p\)-adic generalized Gibbs measure for the Ising model on a Cayley tree ⋮ On a generalized \(p\)-adic Gibbs measure for Ising model on trees ⋮ Non periodic \(p\)-adic generalized Gibbs measure for Ising model ⋮ Phase transition of mixed type \(p\)-adic \({\lambda}\)-Ising model on Cayley tree ⋮ Recurrence equations over trees in a non-Archimedean context

Cites Work

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• On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree
• On the uniqueness of Gibbs measures for \(p\)-adic nonhomogeneous \({\lambda}\)-model on the Cayley tree
• On Ising model with four competing interactions on Cayley tree
• On the existence of generalized Gibbs measures for the one-dimensional \(p\)-adic countable state Potts model
• Markov random fields on an infinite tree
• Number theory as the ultimate physical theory
• On \(p\)-adic quasi Gibbs measures for \(q+1\)-state Potts model on the Cayley tree
• On Gibbs measures of \(p\)-adic Potts model on the Cayley tree.
• p-adic quantum mechanics with p-adic valued functions
• Onp-adic Gibbs measures of the countable state Potts model on the Cayley tree
• ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE
• On Phase Transitions for p-Adic Potts Model with Competing Interactions on a Cayley Tree

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