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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Springer
2014
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/38234/ http://irep.iium.edu.my/38234/1/Farrukh.pdf http://irep.iium.edu.my/38234/4/WOS_Q2.pdf |
| _version_ | 1848781566755471360 |
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| author | Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor |
| author_facet | Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort | Accardi, Luigi |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T15:51:36Z |
| format | Article |
| id | iium-38234 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T15:51:36Z |
| publishDate | 2014 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-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 PeerReviewed 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 |
| spellingShingle | QA Mathematics QC Physics Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor On quantum Markov chains on Cayley tree III: Ising model |
| title | 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_short | On quantum Markov chains on Cayley tree III: Ising model |
| title_sort | on quantum markov chains on cayley tree iii: ising model |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/38234/ http://irep.iium.edu.my/38234/ http://irep.iium.edu.my/38234/ http://irep.iium.edu.my/38234/1/Farrukh.pdf http://irep.iium.edu.my/38234/4/WOS_Q2.pdf |