Description of extreme Gibbs measures for the Ising model with three interactions

Description of extreme Gibbs measures for the Ising model with three interactions

In this paper, we consider an Ising model with three competing interactions (nearest neighbor, next-nearest neighbor, and ternary prolonged neighbor) on the Cayley tree of order two, investigated by Ganikhodjaev et al. We study translation-invariant Gibbs measures of the Ising model with these com...

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Main Authors: Ganikhodjaev, Nasir, Akin, Hasan, Uguz, Selman, Temir, Seyit
Format: Article
Language:English
Published: Polish Academy of Sciences Publishing House 2013
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/29120/
http://irep.iium.edu.my/29120/
http://irep.iium.edu.my/29120/
http://irep.iium.edu.my/29120/1/Acta_Polonica_2013_Akin.pdf
id iium-29120
recordtype eprints
spelling iium-291202014-11-24T08:22:22Z http://irep.iium.edu.my/29120/ Description of extreme Gibbs measures for the Ising model with three interactions Ganikhodjaev, Nasir Akin, Hasan Uguz, Selman Temir, Seyit QA Mathematics In this paper, we consider an Ising model with three competing interactions (nearest neighbor, next-nearest neighbor, and ternary prolonged neighbor) on the Cayley tree of order two, investigated by Ganikhodjaev et al. We study translation-invariant Gibbs measures of the Ising model with these competing interactions. Also, we investigate the set of the extreme Gibbs measures called Markov random �elds with memory 2 of the model. Polish Academy of Sciences Publishing House 2013-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/29120/1/Acta_Polonica_2013_Akin.pdf Ganikhodjaev, Nasir and Akin, Hasan and Uguz, Selman and Temir, Seyit (2013) Description of extreme Gibbs measures for the Ising model with three interactions. Acta Physica Polonica A, 123 (2). pp. 484-487. ISSN 0587-4246 http://przyrbwn.icm.edu.pl/APP/PDF/123/a123z2p107.pdf 10.12693/APhysPolA.123.484
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Akin, Hasan
Uguz, Selman
Temir, Seyit
Description of extreme Gibbs measures for the Ising model with three interactions
description In this paper, we consider an Ising model with three competing interactions (nearest neighbor, next-nearest neighbor, and ternary prolonged neighbor) on the Cayley tree of order two, investigated by Ganikhodjaev et al. We study translation-invariant Gibbs measures of the Ising model with these competing interactions. Also, we investigate the set of the extreme Gibbs measures called Markov random �elds with memory 2 of the model.
format Article
author Ganikhodjaev, Nasir
Akin, Hasan
Uguz, Selman
Temir, Seyit
author_facet Ganikhodjaev, Nasir
Akin, Hasan
Uguz, Selman
Temir, Seyit
author_sort Ganikhodjaev, Nasir
title Description of extreme Gibbs measures for the Ising model with three interactions
title_short Description of extreme Gibbs measures for the Ising model with three interactions
title_full Description of extreme Gibbs measures for the Ising model with three interactions
title_fullStr Description of extreme Gibbs measures for the Ising model with three interactions
title_full_unstemmed Description of extreme Gibbs measures for the Ising model with three interactions
title_sort description of extreme gibbs measures for the ising model with three interactions
publisher Polish Academy of Sciences Publishing House
publishDate 2013
url http://irep.iium.edu.my/29120/
http://irep.iium.edu.my/29120/
http://irep.iium.edu.my/29120/
http://irep.iium.edu.my/29120/1/Acta_Polonica_2013_Akin.pdf
first_indexed 2023-09-18T20:42:44Z
last_indexed 2023-09-18T20:42:44Z
_version_ 1777409473096187904

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