On ground states for the SOS model with competing interactions

Muzaffar M. Rahmatullaev^ab, Bunyod U. Abraev<sup>c

a</sup> Namangan State University, Namangan, Uzbekistan
^b Institute of Mathematics, Academy of Sciences of Uzbekistan, Toshkent, Uzbekistan
^c Chirchik state pedagogical institute, Chirchik, Uzbekistan

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.

UDC: 517.98

Received: 30.05.2021
Received in revised form: 17.09.2021
Accepted: 14.12.2021

Language: English

DOI: 10.17516/1997-1397-2022-15-2-162-175

Bibliographic databases:

•