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

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2016
• Main Author: Rahmatullaev, M.M.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/140557
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...