Phase transition for the p-adic Ising–Vannimenus model on the Cayley tree

• Main Authors: Mukhamedov, Farrukh, Dogan, Mutlay, Akin, Hasan
• Format: Article
• Language: English; English
• Published: IOP Publishing Ltd. 2014
• Subjects: QA Mathematics; QC Physics
• Online Access: http://irep.iium.edu.my/38902/1/mfmdha-JSTAT%282014%29.pdf; http://irep.iium.edu.my/38902/4/38902_Phase%20transition_scopus_new.pdf; http://irep.iium.edu.my/38902/; http://dx.doi.org/10.1088/1742-5468/2014/10/P10031

In this present paper, we consider the p-adic Ising Vannimenus model on the Cayley tree of order two. A new measure-theoretical approach (in the p-adic sense) to investigate such a model is proposed. The main result of this paper is to establish the existence of the phase transition for the model. B...