Article detail · 2014 · article
Phase transition for the p adic Ising Vannimenus model on the Cayley tree
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- YÖKSİSYÖKSİS article record
- YÖKSİS venueJournal of Statistical Mechanics: Theory and Experiment
- Catalog match (ISSN)Journal of Statistical Mechanics: Theory and Experiment
- OpenAlexOpenAlex enrichment (abstract, citations, topics)
Abstract
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. By the phase transition we mean the existence of at least two non-trivial p -adic quasi Gibbs measures, such that one is bounded and the second one is unbounded (note that in the p -adic probability, unlike a real setting, the probability measures could even be unbounded). To prove the main result, we investigate a nonlinear recurrence equation via the methods of p -adic analysis. Note that the methods used in the paper are not valid in a real setting.
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Citations
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16citationsOpenAlex · cited_by_count (cache / database)
5 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- 2016 Using new approaches to obtain Gibbs measures of Vannimenus model on a Cayley treeCitations 17 · OpenAlex
- 2019 Gibbs measures of an Ising model with competing interactions on the triangular chandelier-latticeCitations 9 · OpenAlex
- 2017 On chaotic behaviour of the p-adic generalized Ising mapping and its applicationCitations 4 · OpenAlex
- 2016 Existence of p-Adic Quasi Gibbs Measures for Mixed Type p-Adic Ising λ-ModelCitations 0 · OpenAlex
- 2015 Phase transition of p-adic Ising λ-modelCitations 0 · OpenAlex