Journal of Siberian Federal University. Mathematics & Physics / On Ground States for the SOS Model with Competing Interactions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (2)
Authors
Rahmatullaev, Muzaffar M.; Abraev, Bunyod U.
Contact information
Rahmatullaev, Muzaffar M.: Institute of Mathematics Academy of Sciences of Uzbekistan Toshkent, Uzbekistan Namangan State University Namangan, Uzbekistan; ; Abraev, Bunyod U.: Chirchik state pedagogical institute Chirchik, Uzbekistan;
Keywords
Cayley tree; SOS model; periodic and weakly periodic ground states
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

Pages
160–173
DOI
10.17516/1997-1397-2022-15-2-160-173
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/145177