On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree
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 i...
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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
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| Дата: | 2016 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/140557 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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nasplib_isofts_kiev_ua-123456789-140557 |
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Rahmatullaev, M.M. 2018-07-10T16:10:26Z 2018-07-10T16:10:26Z 2016 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) https://nasplib.isofts.kiev.ua/handle/123456789/140557 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree |
| spellingShingle |
On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree Rahmatullaev, M.M. |
| title_short |
On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree |
| title_full |
On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree |
| title_fullStr |
On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree |
| title_full_unstemmed |
On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree |
| title_sort |
on weakly periodic gibbs measures of the potts model with a special external field on a cayley tree |
| author |
Rahmatullaev, M.M. |
| author_facet |
Rahmatullaev, M.M. |
| publishDate |
2016 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/140557 |
| citation_txt |
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. |
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2025-11-27T10:31:11Z |
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2025-11-27T10:31:11Z |
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