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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2018
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my.iium.irep.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 https://link.springer.com/journal/volumesAndIssues/11232 10.1134/S004057791802006X |
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QA300 Analysis |
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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/65012/1/65012_GROUND%20STATES%20AND%20PHASE%20TRANSITION.pdf http://irep.iium.edu.my/65012/2/TOC%20Journal.pdf http://irep.iium.edu.my/65012/ https://link.springer.com/journal/volumesAndIssues/11232 |
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