On phase transitions of the Potts model with three competing interactions on Cayley tree

• Published in: Condensed Matter Physics
• Date: 2011
• ISSN: 1607-324X
• Main Authors: Akin, H., Temir, S.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119977
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On phase transitions of the Potts model with three competing interactions on Cayley tree / H. Akin, S. Temir // Condensed Matter Physics. — 2011. — Т. 14, № 2. — С. 23003:1-11. — Бібліогр.: 20 назв. — англ.

In the present paper we study a phase transition problem for the Potts model with three competing interactions, the nearest neighbors, the second neighbors and triples of neighbors and non-zero external field on Cayley tree of order two. We prove that for some parameter values of the model there is...