The statistical mechanical models with finitely many spin values have several applications in many areas of natural science. One of the most studied models is the Potts model, which has a rich structure of physical phenomena. However, countable analog of the mentioned model has not been deeply studied yet. In the present paper, we are going to construct generalized (Formula presented.) -adic Gibbs measures (for the countable state (Formula presented.) -adic Potts model on a Cayley tree) by investigating non-linear (Formula presented.) -adic dynamical systems on the sequence spaces. The provided study offers the existence of the strong phase transition for the model.
|Journal||Mathematical Methods in the Applied Sciences|
|Publication status||Accepted/In press - 2023|
- countable state p-adic Potts model
- p-adic Gibbs measure
- semi-infinite Cayley tree
ASJC Scopus subject areas