λ-model with competing Potts interactions on Cayley tree of order 2

Farrukh Mukhamedov, Chin Hee Pah, Hakim Jamil

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

Abstract

In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-neighbor and prolonged next-nearest neighbor interactions. We described the construction of the Gibbs measure for the considered model. We proved the existence of the translation-invariant limiting Gibbs measures for the model.

Original languageEnglish
Title of host publicationProceeding of the International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018
EditorsShazalina Mat Zin, Nur' Afifah Rusdi, Khairul Anwar Bin Mohamad Khazali, Nooraihan Abdullah, Nurshazneem Roslan, Noor Alia Md Zain, Rasyida Md Saad, Nornadia Mohd Yazid
PublisherAmerican Institute of Physics Inc.
ISBN (Print)9780735417298
DOIs
Publication statusPublished - Oct 2 2018
EventInternational Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018 - Kuala Lumpur, Malaysia
Duration: Jul 24 2018Jul 26 2018

Publication series

NameAIP Conference Proceedings
Volume2013
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018
Country/TerritoryMalaysia
CityKuala Lumpur
Period7/24/187/26/18

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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