On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree
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| Creator |
Rahmatullaev, M.M.
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| Description |
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.
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| Date |
2018-07-10T16:10:26Z
2018-07-10T16:10:26Z 2016 |
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| Type |
Article
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| Identifier |
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.
1812-9471 DOI : doi.org/10.15407/mag12.04.302 Mathematics Subject Classification 2000: 82B26 (primary); 60K35 (secondary) http://dspace.nbuv.gov.ua/handle/123456789/140557 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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