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Title: Phase transition of p-adic Ising λ-model

We consider an interaction of the nearest-neighbors and next nearest-neighbors for the mixed type p-adic λ-model with spin values (−1, +1) on a Cayley tree of order two. In the previous work we have proved the existence of the p-adic Gibbs measure for the model. In this work we have proved the existence of the phase transition occurs for the model.
Authors:
;  [1] ;  [2]
  1. Department of Mathematics, Faculty of Education, Zirve University, Gaziantep, TR27260 (Turkey)
  2. Department of Computational & Theoretical Sciences Faculty of Science, International Islamic University Malaysia P.O. Box, 141, 25710, Kuantan Pahang (Malaysia)
Publication Date:
OSTI Identifier:
22488893
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1676; Journal Issue: 1; Conference: International conference on advancements in mathematical sciences, Antalya (Turkey), 5-7 Nov 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FREE ENTHALPY; ISING MODEL; MATHEMATICAL SOLUTIONS; PHASE TRANSFORMATIONS; SPIN