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Nanosystems: Physics, Chemistry, Mathematics, 2022, Volume 13, Issue 5, Pages 498–502
DOI: https://doi.org/10.17586/2220-8054-2022-13-5-498-502 (Mi nano1131) 		 
PHYSICS

Phase transitions for the “uncle-nephew” model

Nasir N. Ganikhodzhaeva, Muzaffar M. Rahmatullaevab, Mahliyo R. Abdusalomovab

a Institute of Mathematics, Tashkent, Uzbekistan
b Namangan State University, Namangan, Uzbekistan
Full-text PDF (1127 kB)
DOI: https://doi.org/10.17586/2220-8054-2022-13-5-498-502
Abstract: 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, phase transition, periodic Gibbs measures, family tree.
Received: 10.08.2022
Revised: 06.09.2022
Accepted: 07.09.2022
Bibliographic databases:
Document Type: Article
Language: English
Citation: Nasir N. Ganikhodzhaev, Muzaffar M. Rahmatullaev, Mahliyo R. Abdusalomova, “Phase transitions for the “uncle-nephew” model”, Nanosystems: Physics, Chemistry, Mathematics, 13:5 (2022), 498–502
Citation in format AMSBIB
\Bibitem{GanRahAbd22}
\by Nasir~N.~Ganikhodzhaev, Muzaffar~M.~Rahmatullaev, Mahliyo~R.~Abdusalomova
\paper Phase transitions for the ``uncle-nephew'' model
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2022
\vol 13
\issue 5
\pages 498--502
\mathnet{http://mi.mathnet.ru/nano1131}
\crossref{https://doi.org/10.17586/2220-8054-2022-13-5-498-502}
\elib{https://elibrary.ru/item.asp?id=49622600}
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