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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Pleiades Publishing, Ltd.
2018
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| Subjects: | |
| Online Access: | 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 |
| _version_ | 1848786312509784064 |
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| author | Mukhamedov, Farrukh Jamil, Hakim Pah, Chin Hee |
| author_facet | Mukhamedov, Farrukh Jamil, Hakim Pah, Chin Hee |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T17:07:02Z |
| format | Article |
| id | iium-65012 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:07:02Z |
| publishDate | 2018 |
| publisher | Pleiades Publishing, Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 |
| spellingShingle | QA300 Analysis Mukhamedov, Farrukh Jamil, Hakim Pah, Chin Hee Ground states and phase transition of the λ model on the Cayley tree |
| title | 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_short | 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 |
| topic | QA300 Analysis |
| 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 |