λ-model with competing Potts interactions on Cayley tree of order 2

• Main Authors: Mukhamedov, Farrukh, Pah, Chin Hee, Jamil, Hakim
• 格式: Conference or Workshop Item
• 語言: English; English
• 出版: American Institute of Physics Inc. 2018
• 主題: QA Mathematics
• 在線閱讀: http://irep.iium.edu.my/66694/1/66694_%CE%BB-model%20with%20competing%20Potts.pdf; http://irep.iium.edu.my/66694/2/66694_%CE%BB-model%20with%20competing%20Potts_SCOPUS.pdf; http://irep.iium.edu.my/66694/; https://aip.scitation.org/doi/10.1063/1.5054231

In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-neighbor and prolonged next-nearest neighbor-interactions. We described the construction of the Gibbs measure for the considered model. We proved the existence of the translation-invariant limiting Gib...