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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 2, Pages 162–175
DOI: https://doi.org/10.17516/1997-1397-2022-15-2-162-175 (Mi jsfu985) 		 
On ground states for the SOS model with competing interactions

Muzaffar M. Rahmatullaevab, Bunyod U. Abraevc

a Namangan State University, Namangan, Uzbekistan
b Institute of Mathematics, Academy of Sciences of Uzbekistan, Toshkent, Uzbekistan
c Chirchik state pedagogical institute, Chirchik, Uzbekistan
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DOI: https://doi.org/10.17516/1997-1397-2022-15-2-162-175
Abstract: We study periodic and weakly periodic ground states for the SOS model with competing interactions on the Cayley tree of order two and three. Further, we study non periodic ground states for the SOS model with competing interactions on the Cayley tree of order two.
Keywords: Cayley tree, SOS model, periodic and weakly periodic ground states.
Received: 30.05.2021
Received in revised form: 17.09.2021
Accepted: 14.12.2021
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: English
Citation: Muzaffar M. Rahmatullaev, Bunyod U. Abraev, “On ground states for the SOS model with competing interactions”, J. Sib. Fed. Univ. Math. Phys., 15:2 (2022), 162–175
Citation in format AMSBIB
\Bibitem{RahAbr22}
\by Muzaffar~M.~Rahmatullaev, Bunyod~U.~Abraev
\paper On ground states for the SOS model with competing interactions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 2
\pages 162--175
\mathnet{http://mi.mathnet.ru/jsfu985}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4416290}
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