Exact solution of a generalized ANNNI model on a Cayley tree

DOI10.1007/s11040-014-9144-7zbMath1304.82016arXiv1008.3307OpenAlexW2009086398MaRDI QIDQ471819

Utkir A. Rozikov, Hasan Akin, Selman Uguz

Publication date: 17 November 2014

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3307

zbMATH Keywords

phaseconfigurationIsing modelCayley treeGibbs measure

Mathematics Subject Classification ID

Trees (05C05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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A discrete-time dynamical system of mosquito population ⋮ Translation-invariant \(p\)-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree ⋮ Weakly periodic Gibbs measures of the Ising model on the Cayley tree of order five and six ⋮ Using new approaches to obtain Gibbs measures of Vannimenus model on a Cayley tree ⋮ Gibbs measures and free energies of Ising–Vannimenus model on the Cayley tree ⋮ Phase transition and Gibbs measures of Vannimenus model on semi-infinite Cayley tree of order three

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