The phase transition for the Hard-Core model on the closed Cayley tree of branching ratio two

Authors

  • Makhammadaliev M.T. Author
  • Karshiboev O.Sh. Author

DOI:

https://doi.org/10.29229/uzmj.2025-3-13

Keywords:

closed Cayley tree, Gibbs measure, Hard-Core model, phase transition

Abstract

In this paper, we consider the two-state Hard-Core model on the closed Cayley tree of branching ratio two. On the symmetric case, we exactly solve the model and show that there is a phase transition.

Published

2025-09-06

Issue

Vol. 69 No. 3 (2025): Uzbek Mathematical Journal

Section

Articles

How to Cite

The phase transition for the Hard-Core model on the closed Cayley tree of branching ratio two. (2025). Uzbek Mathematical Journal, 69(3), 126-133. https://doi.org/10.29229/uzmj.2025-3-13