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On quantum Markov chains on Cayley tree III: Ising model

In this paper, we consider the classical Ising model on the Cayley tree of order k (k ≥ 2), and show the existence of the phase transition in the following sense: there exists two quantum Markov states which are not quasi-equivalent. It turns out that the found critical temperature coincides with...

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Main Authors: Accardi, Luigi, Mukhamedov, Farrukh, Saburov, Mansoor
Format: Article
Language:English
English
Published: Springer 2014
Subjects:
QA Mathematics
QC Physics
Online Access:http://irep.iium.edu.my/38234/1/Farrukh.pdf
http://irep.iium.edu.my/38234/4/WOS_Q2.pdf
http://irep.iium.edu.my/38234/
http://link.springer.com/article/10.1007%2Fs10955-014-1083-y
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spelling my.iium.irep.382342014-11-27T08:23:36Z http://irep.iium.edu.my/38234/ On quantum Markov chains on Cayley tree III: Ising model Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics QC Physics In this paper, we consider the classical Ising model on the Cayley tree of order k (k ≥ 2), and show the existence of the phase transition in the following sense: there exists two quantum Markov states which are not quasi-equivalent. It turns out that the found critical temperature coincides with the classical critical temperature. Springer 2014 Article REM application/pdf en http://irep.iium.edu.my/38234/1/Farrukh.pdf application/pdf en http://irep.iium.edu.my/38234/4/WOS_Q2.pdf Accardi, Luigi and Mukhamedov, Farrukh and Saburov, Mansoor (2014) On quantum Markov chains on Cayley tree III: Ising model. Journal of Statistical Physics, 157 (2). pp. 303-329. ISSN 0022-4715 http://link.springer.com/article/10.1007%2Fs10955-014-1083-y 10.1007/s10955-014-1083-y
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
English
topic QA Mathematics
QC Physics
spellingShingle QA Mathematics
QC Physics
Accardi, Luigi
Mukhamedov, Farrukh
Saburov, Mansoor
On quantum Markov chains on Cayley tree III: Ising model
description In this paper, we consider the classical Ising model on the Cayley tree of order k (k ≥ 2), and show the existence of the phase transition in the following sense: there exists two quantum Markov states which are not quasi-equivalent. It turns out that the found critical temperature coincides with the classical critical temperature.
format Article
author Accardi, Luigi
Mukhamedov, Farrukh
Saburov, Mansoor
author_facet Accardi, Luigi
Mukhamedov, Farrukh
Saburov, Mansoor
author_sort Accardi, Luigi
title On quantum Markov chains on Cayley tree III: Ising model
title_short On quantum Markov chains on Cayley tree III: Ising model
title_full On quantum Markov chains on Cayley tree III: Ising model
title_fullStr On quantum Markov chains on Cayley tree III: Ising model
title_full_unstemmed On quantum Markov chains on Cayley tree III: Ising model
title_sort on quantum markov chains on cayley tree iii: ising model
publisher Springer
publishDate 2014
url http://irep.iium.edu.my/38234/1/Farrukh.pdf
http://irep.iium.edu.my/38234/4/WOS_Q2.pdf
http://irep.iium.edu.my/38234/
http://link.springer.com/article/10.1007%2Fs10955-014-1083-y
_version_ 1643611379926564864
score 13.160551

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