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СИСТЕМА ФУНКЦИОНАЛЬНЫХ УРАВНЕНИЙ ДЛЯ МОДЕЛИ БЛЮМА- КАПЕЛЯ НА ДЕРЕВЕ КЭЛИ

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MAQOLA ANNOTATSIYASI

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Ushbu maqolada Keli daraxtida Blyum-Kapel modeli o‘rganilgan. Shu bilan birga Blyum-Kapel modeliga javob beruvchi Gibbs o‘lchovi uchun muofiqlik sharti bajarilishining zaruriy va yetarli sharti bo‘lgan funktsional tenglamalar sistemasi topilgan

MUALIFLAR

Teglar

# Keli daraxti# konfiguratsiya# конфигурация# Cayley tree# configuration# дерево Кэли# гамильтониан# модель Блюма-Капеля# hamiltonian# model Blume-Capel# gamiltonian# Blyum-Kapel modeli

Maqolani baholang

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Maqola idintifikatorlari

Foydalanilgan adabiyotlar

Georgi X.-O. Gibbsovskie meri i fazovie perexodi. Moskva. "Mir" 1992. s. 624.

Preston C.J. Gibbs States on Countable Sets. - Cambridge Tracts Math., 68, Cambridge Univ. Press, Cambridge, 1974.

Sinay YA. G. Teoriya fazovix perexodov. Strogie rezultati.- M.: Nauka, 1980.

U.A. Rozikov. Gibbs measures on Cayley trees. World Scientific.-2013.

C.Kuiske, U.A.Rozikov, R.M.Khakimov. Deskripthion of all translation-invariant (splitting) Gibbs measures for the Potts model on a Cayley tree. Jour. Stat. Phys. 156(1) (2014), 189-200.

N.M.Xatamov. Novie klassi osnovnix sostoyaniy dlya modeli Pottsa s rasseyannimi konkuriruyuщimi vzaimodeystviyami na dereve Keli. TMF, 2014, T.180, №3, -s.318-328.

N.M.Xatamov. Ne edinstvennost meri Gibbsa dlya sharovoy modeli Izingga s radiusom vzaimodeystviya dva. TMF, 2014, T.180, №3, -s.318-328.

N.Xatamov, R.Xakimov. Translation-invariant Gibbs measures for the Blume-Kapel model on a Cayley tree. JMAG. 2019, Vol.15, No. 2, pp.239-255.

E.N.Cirillo, E.Olivieri. Metastabilty and nucleation for the Blume-Capel. Different mechanisms of transition. HEP-TH-9505055.

P.E.Theodorakis, N.J.Fytas. Monte Carlo study of the triangular Blume-Capel model under bond rundomness. Physical reviewe 86, 011140(2012).

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