Weakly periodic Gibbs measures for Kittel’s molecular zipper model on the Cayley tree
M. M. RahmatullaevFaculty of Physics and Mathematics, Namangan State University, Namangan, UzbekistanM. A. RasulovaV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 9, Universitet Street, 100174, Tashkent, UzbekistanU. A. RozikovDepartment of Mathematics and Information Technologies, Qarshi State University, 17, Kuchabag Street, 180119, Qarshi, Uzbekistan
ABI
Annotatsiya
In this paper, we extend the investigation of Kittel’s molecular zipper model on the infinite Cayley tree. We focus on the weakly periodic Gibbs measures for this model. Under specific parameter conditions, we show that all periodic Gibbs measures coincide with translation-invariant measures. Additionally, we identify distinct parameters that give rise to non-translation-invariant weakly periodic Gibbs measures.
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