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On Ising model with four competing interactions on Cayley tree

In the paper we consider an Ising model with four competing interactions (external field, nearest neighbor, second neighbors and triples of neighbors) on the Cayley tree of order two.We show that for some parameter values of the model there is a phase transition. Our second result gives complete de...

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Main Authors: Ganikhodjaev, Nasir, Rozikov, Utkir Abdulloevich
Format: Article
Language:English
Published: Springer Netherlands 2009
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/1642/1/Ising_with_4_inter.pdf
http://irep.iium.edu.my/1642/
http://www.springerlink.com/content/47m312707366001p/
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spelling my.iium.irep.16422011-11-22T00:46:42Z http://irep.iium.edu.my/1642/ On Ising model with four competing interactions on Cayley tree Ganikhodjaev, Nasir Rozikov, Utkir Abdulloevich QA Mathematics In the paper we consider an Ising model with four competing interactions (external field, nearest neighbor, second neighbors and triples of neighbors) on the Cayley tree of order two.We show that for some parameter values of the model there is a phase transition. Our second result gives complete description of the periodic Gibbs measures for the model. We also construct uncountably many non-periodic extreme Gibbs measures. Springer Netherlands 2009 Article REM application/pdf en http://irep.iium.edu.my/1642/1/Ising_with_4_inter.pdf Ganikhodjaev, Nasir and Rozikov, Utkir Abdulloevich (2009) On Ising model with four competing interactions on Cayley tree. Mathematical Physics, Analysis and Geometry, 12 (2). pp. 141-156. ISSN 1385-0172 (P), 1572-9656 (O) http://www.springerlink.com/content/47m312707366001p/ 10.1007/s11040-009-9056-0
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
Rozikov, Utkir Abdulloevich
On Ising model with four competing interactions on Cayley tree
description In the paper we consider an Ising model with four competing interactions (external field, nearest neighbor, second neighbors and triples of neighbors) on the Cayley tree of order two.We show that for some parameter values of the model there is a phase transition. Our second result gives complete description of the periodic Gibbs measures for the model. We also construct uncountably many non-periodic extreme Gibbs measures.
format Article
author Ganikhodjaev, Nasir
Rozikov, Utkir Abdulloevich
author_facet Ganikhodjaev, Nasir
Rozikov, Utkir Abdulloevich
author_sort Ganikhodjaev, Nasir
title On Ising model with four competing interactions on Cayley tree
title_short On Ising model with four competing interactions on Cayley tree
title_full On Ising model with four competing interactions on Cayley tree
title_fullStr On Ising model with four competing interactions on Cayley tree
title_full_unstemmed On Ising model with four competing interactions on Cayley tree
title_sort on ising model with four competing interactions on cayley tree
publisher Springer Netherlands
publishDate 2009
url http://irep.iium.edu.my/1642/1/Ising_with_4_inter.pdf
http://irep.iium.edu.my/1642/
http://www.springerlink.com/content/47m312707366001p/
_version_ 1643604828209807360
score 13.211869

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