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...
Saved in:
| Main Authors: | , , , |
|---|---|
| 格式: | Article |
| 语言: | English |
| 出版: |
Polish Academy of Sciences Publishing House
2013
|
| 主题: | |
| 在线阅读: | http://irep.iium.edu.my/29120/1/Acta_Polonica_2013_Akin.pdf http://irep.iium.edu.my/29120/ http://przyrbwn.icm.edu.pl/APP/PDF/123/a123z2p107.pdf |
| 标签: |
添加标签
没有标签, 成为第一个标记此记录!
|
| id |
my.iium.irep.29120 |
|---|---|
| record_format |
dspace |
| spelling |
my.iium.irep.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 REM 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 |
| institution |
Universiti Islam Antarabangsa Malaysia |
| building |
IIUM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
International Islamic University Malaysia |
| content_source |
IIUM Repository (IREP) |
| url_provider |
http://irep.iium.edu.my/ |
| 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/29120/1/Acta_Polonica_2013_Akin.pdf http://irep.iium.edu.my/29120/ http://przyrbwn.icm.edu.pl/APP/PDF/123/a123z2p107.pdf |
| _version_ |
1643609610060300288 |
| score |
13.250246 |