Ground states and phase transition of the λ model on the Cayley tree
We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the order-two Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures exist, which means that a phase transition exists. We establish that two-periodic Gibbs meas...
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Pleiades Publishing, Ltd.
2018
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| Online Access: | http://irep.iium.edu.my/65012/ http://irep.iium.edu.my/65012/ http://irep.iium.edu.my/65012/ http://irep.iium.edu.my/65012/1/65012_GROUND%20STATES%20AND%20PHASE%20TRANSITION.pdf http://irep.iium.edu.my/65012/2/TOC%20Journal.pdf |
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iium-650122018-08-06T07:57:22Z http://irep.iium.edu.my/65012/ Ground states and phase transition of the λ model on the Cayley tree Mukhamedov, Farrukh Jamil, Hakim Pah, Chin Hee QA300 Analysis We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the order-two Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures exist, which means that a phase transition exists. We establish that two-periodic Gibbs measures exist. Pleiades Publishing, Ltd. 2018-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/65012/1/65012_GROUND%20STATES%20AND%20PHASE%20TRANSITION.pdf application/pdf en http://irep.iium.edu.my/65012/2/TOC%20Journal.pdf Mukhamedov, Farrukh and Jamil, Hakim and Pah, Chin Hee (2018) Ground states and phase transition of the λ model on the Cayley tree. Theoretical and Mathematical Physics, 194 (2). pp. 260-273. ISSN 0040-5779 E-ISSN 1573-9333 https://link.springer.com/journal/volumesAndIssues/11232 10.1134/S004057791802006X |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English English |
| topic |
QA300 Analysis |
| spellingShingle |
QA300 Analysis Mukhamedov, Farrukh Jamil, Hakim Pah, Chin Hee Ground states and phase transition of the λ model on the Cayley tree |
| description |
We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the order-two
Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures
exist, which means that a phase transition exists. We establish that two-periodic Gibbs measures exist. |
| format |
Article |
| author |
Mukhamedov, Farrukh Jamil, Hakim Pah, Chin Hee |
| author_facet |
Mukhamedov, Farrukh Jamil, Hakim Pah, Chin Hee |
| author_sort |
Mukhamedov, Farrukh |
| title |
Ground states and phase transition of the λ model on the Cayley tree |
| title_short |
Ground states and phase transition of the λ model on the Cayley tree |
| title_full |
Ground states and phase transition of the λ model on the Cayley tree |
| title_fullStr |
Ground states and phase transition of the λ model on the Cayley tree |
| title_full_unstemmed |
Ground states and phase transition of the λ model on the Cayley tree |
| title_sort |
ground states and phase transition of the λ model on the cayley tree |
| publisher |
Pleiades Publishing, Ltd. |
| publishDate |
2018 |
| url |
http://irep.iium.edu.my/65012/ http://irep.iium.edu.my/65012/ http://irep.iium.edu.my/65012/ http://irep.iium.edu.my/65012/1/65012_GROUND%20STATES%20AND%20PHASE%20TRANSITION.pdf http://irep.iium.edu.my/65012/2/TOC%20Journal.pdf |
| first_indexed |
2023-09-18T21:32:13Z |
| last_indexed |
2023-09-18T21:32:13Z |
| _version_ |
1777412587132026880 |