On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree

dc.contributor.author	Rahmatullaev, M.M.
dc.date.accessioned	2018-07-10T16:10:26Z
dc.date.available	2018-07-10T16:10:26Z
dc.date.issued	2016
dc.identifier.citation	On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree / M.M. Rahmatullaev // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 4. — С. 302-314. — Бібліогр.: 16 назв. — англ.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.other	DOI : doi.org/10.15407/mag12.04.302
dc.identifier.other	Mathematics Subject Classification 2000: 82B26 (primary); 60K35 (secondary)
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/140557
dc.description.abstract	In the paper, we study the q-state (where q = 3, 4, 5, ... ) Potts model with special external field on a Cayley tree of order k ≥ 2. For antiferromagnetic Potts model with such an external field on the Cayley tree of order k ≥ 6, the non-uniqueness of weakly periodic (non-periodic) Gibbs measures is proved. The weakly periodic Gibbs measures for the Potts model with zero external field are also studied. It is proved that under some conditions imposed on the parameters of the model there can be not less than 2q - 2 such measures.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA