Geodesic
Phase transitions for the “uncle-nephew” model
Nanosistemy: fizika, himiâ, matematika, Tome 13 (2022) no. 5, pp. 498-502 Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate a problem of phase transition for all possible phases of “uncle-nephew” model on the semi-infinite Cayley tree of second order. It is proved that one can reach the phase transition for this model only in the class of ferromagnetic phase.
Keywords: Cayley tree, Ising model, periodic Gibbs measures, family tree.
Mots-clés : phase transition 
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     author = {Nasir N. Ganikhodzhaev and Muzaffar M. Rahmatullaev and Mahliyo R. Abdusalomova},
     title = {Phase transitions for the {\textquotedblleft}uncle-nephew{\textquotedblright} model},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {498--502},
     year = {2022},
     volume = {13},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2022_13_5_a2/}
}
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Nasir N. Ganikhodzhaev; Muzaffar M. Rahmatullaev; Mahliyo R. Abdusalomova. Phase transitions for the “uncle-nephew” model. Nanosistemy: fizika, himiâ, matematika, Tome 13 (2022) no. 5, pp. 498-502. http://geodesic.mathdoc.fr/item/NANO_2022_13_5_a2/