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УЛУЧШЕНИЕ ОДНОГО РЕЗУЛЬТАТА ДЛЯ МОДЕЛИ ПОТТСА НА ДЕРЕВЕ КЭЛИ

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Scientific Bulletin of Namangan State University

Scientific Bulletin of Namangan State University

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ARTICLE ANNOTATION

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We study the Potts model on the Cayley tree. We improved one of the previously known results. We proved that on one of the invariant sets for the Potts model with a zero external field there exist exactly two periodic (not translation-invariant) Gibbs measures.

AUTHORS

R.Xakimov

I.Oktamaliyev

Tags

# Keli daraxti# konfiguratsiya# Gibbs o`lchovi# дерево Кэли# конфигурация# мера Гиббса# configuration# модель Поттса# периодические меры# Cayley tree# Potts model# Gibbs measure# periodic measures# Potts modeli# davriy Gibbs o’lchovlari

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Article Identifiers

ROI:

https://eroi.uz/11.0031/A1220-0127

DOI:

Not Available

References

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

Ganixodjaev N.N., Rozikov U.A. Opisanie periodicheskix kraynix gibbsovskix mer nekotorix modeley na dereve Keli. // TMF, 111: 1 (1997), 109–117.

Rozikov U.A., Xakimov R.M. Periodicheskie meri Gibbsa dlya modeli Pottsa na dereve Keli. // TMF, 175: 2 (2013), 300–312.

Xakimov R.M. O sushestvovanii periodicheskix mer Gibbsa dlya modeli Pottsa na dereve Keli. // Uzb. mat. jurnal. –Tashkent, 2014. -№ 3. -C. 134-142.

Sinay Ya. G. Teoriya fazovix perexodov. Strogie rezultati, Nauka, M., 1980.

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

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