Phase transitions for p-adic Potts model on the Cayley tree of order three

• Main Authors: Mukhamedov, Farrukh, Akin, Hasan
• Format: Article
• Language: English
• Published: Institute of Physics Publishing Ltd. 2013
• Subjects: QA Mathematics; QC Physics
• Online Access: http://irep.iium.edu.my/31745/1/mfha-JSTAT%282013%29.pdf; http://irep.iium.edu.my/31745/; http://iopscience.iop.org/1742-5468/2013/07/P07014

In the present paper, we study a phase transition problem for the q-state p-adic Potts model over the Cayley tree of order three. We consider a more general notion of p-adic Gibbs measure which depends on parameter ρ∈Qp. Such a measure is called generalized p-adic quasi Gibbs measure. When ρ equals...