Geodesic
Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 3, pp. 597-609 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a mixed-type model given by the three-state Ising–Potts model on a Cayley tree. A criterion for the existence of limit Gibbs measures for this model on an arbitrary-order Cayley tree is obtained. Translation-invariant Gibbs measures on a second-order Cayley tree are studied. The existence of a phase transition is proved: a range of parameter values is found in which there are one to seven Gibbs measures for the three-state Ising–Potts model.
Keywords: Cayley tree, Ising–Potts model, Gibbs measure, translation-invariant Gibbs measure.
Mots-clés : configuration 
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M. M. Rahmatullaev; B. M. Isakov. Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 3, pp. 597-609. http://geodesic.mathdoc.fr/item/TMF_2024_219_3_a10/

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