Phase transition of p-adic Ising λ-model

Mutlay Dogan, Hasan Akln, Farrukh Mukhamedov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish
Title of host publicationAdvancements in Mathematical Sciences
Subtitle of host publicationProceedings of the International Conference on Advancements in Mathematical Sciences, AMS 2015
EditorsAlexey Lukashov, Allaberen Ashyralyev, Eberhard Malkowsky, Feyzi Basar, Eberhard Malkowsky, Allaberen Ashyralyev
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735413238
DOIs
Publication statusPublished - Sep 18 2015
Externally publishedYes
EventInternational Conference on Advancements in Mathematical Sciences, AMS 2015 - Antalya, Turkey
Duration: Nov 5 2015Nov 7 2015

Publication series

NameAIP Conference Proceedings
Volume1676
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Advancements in Mathematical Sciences, AMS 2015
Country/TerritoryTurkey
CityAntalya
Period11/5/1511/7/15

Keywords

  • Phase transition
  • p-adic Gibbs measure
  • p-adic Ising model
  • δ-model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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