Geodesic
Phase transitions for the ``uncle-nephew'' model
Nanosistemy: fizika, himiâ, matematika, Tome 13 (2022) no. 5, pp. 498-502.

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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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     title = {Phase transitions for the ``uncle-nephew'' model},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
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     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/