GROUND STATES FOR THE SOS MODEL WITH COMPETING BINARY INTERACTIONS ON A CAYLEY TREE OF ORDER THREE

GROUND STATES FOR THE SOS MODEL WITH COMPETING BINARY INTERACTIONS ON A CAYLEY TREE OF ORDER THREE

Авторлор

  • Мухаммаджанович Институт Математики имени В.И. Романовского Академии Наук Республики Узбекистан
  • Уринбоевич Чирчикский государственный педагогический университет

DOI:

https://doi.org/10.52754/16948645_2023_2_180

Ачкыч сөздөр:

Cayley tree, configuration, competing next-nearest-neighbor interactions, translation-invariant , periodic ground state

Аннотация

We consider a SOS (solid-on-solid) model with nearest-neighbor interaction  prolonged next-nearest-neighbor interaction  and one level next-nearest-neighbor interaction  where the spin takes values in the set  on a Cayley tree of order three. In the paper, we study translation-invariant and periodic ground states of the model SOS.

Библиографиялык шилтемелер

Sinai Ya. G., Theory of phase transitions: rigorous results, / Ya. G. Sinai – Science, M. 1980.

Rozikov U.A., Gibbs measures on Cayley trees, / U.A. Rozikov – World Scientific, Singapore, 2013. DOI: https://doi.org/10.1142/8841

Rahmatullaev M.M., Abraev B.U., On ground states for the SOS model with competing interactions / M.M.Rahmatullaev, B.U. Abraev // Journal of Siberian Federal University, 2022, Vol 15. No.2 pp. 1-14. DOI: https://doi.org/10.17516/1997-1397-2022-15-2-160-173

Abraev B.U. Ground states for the SOS model with competing binary interactions on a Cayley tree / Abraev B.U. // Uzbek Mathematical Journal 2022, Volume 66, Issue 3, pp.10-20.

Жүктөөлөр

Жарыяланды

2023-12-30

Кандай шилтеме берүү керек

Рахматуллаев, М., & Абраев, Б. (2023). GROUND STATES FOR THE SOS MODEL WITH COMPETING BINARY INTERACTIONS ON A CAYLEY TREE OF ORDER THREE: GROUND STATES FOR THE SOS MODEL WITH COMPETING BINARY INTERACTIONS ON A CAYLEY TREE OF ORDER THREE. Ош мамлекеттик университетинин Жарчысы. Математика. Физика. Техника, (2(3), 180–187. https://doi.org/10.52754/16948645_2023_2_180

Саны (чыгарылыш)

№ 2(3) (2023): Ош мамлекеттик университетинин жарчысы. Математика. Физика. Техника

Бөлүм

МАТЕМАТИКА

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