p-Adic phase transitions for countable state Potts model

Farrukh Mukhamedov, Otabek Khakimov

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
JournalMathematical Methods in the Applied Sciences
Publication statusAccepted/In press - 2023


  • countable state p-adic Potts model
  • p-adic Gibbs measure
  • semi-infinite Cayley tree

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)


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