λ-model with competing Potts interactions on Cayley tree of order 2
In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-neighbor and prolonged next-nearest neighbor-interactions. We described the construction of the Gibbs measure for the considered model. We proved the existence of the translation-invariant limiting Gib...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
American Institute of Physics Inc.
2018
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/1/66694_%CE%BB-model%20with%20competing%20Potts.pdf http://irep.iium.edu.my/66694/2/66694_%CE%BB-model%20with%20competing%20Potts_SCOPUS.pdf |
| _version_ | 1848786628014768128 |
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| author | Mukhamedov, Farrukh Pah, Chin Hee Jamil, Hakim |
| author_facet | Mukhamedov, Farrukh Pah, Chin Hee Jamil, Hakim |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-neighbor and
prolonged next-nearest neighbor-interactions. We described the construction of the Gibbs measure for the considered
model. We proved the existence of the translation-invariant limiting Gibbs measures for the model. |
| first_indexed | 2025-11-14T17:12:03Z |
| format | Proceeding Paper |
| id | iium-66694 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:12:03Z |
| publishDate | 2018 |
| publisher | American Institute of Physics Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-666942018-10-17T08:53:12Z http://irep.iium.edu.my/66694/ λ-model with competing Potts interactions on Cayley tree of order 2 Mukhamedov, Farrukh Pah, Chin Hee Jamil, Hakim QA Mathematics In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-neighbor and prolonged next-nearest neighbor-interactions. We described the construction of the Gibbs measure for the considered model. We proved the existence of the translation-invariant limiting Gibbs measures for the model. American Institute of Physics Inc. 2018-09 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/66694/1/66694_%CE%BB-model%20with%20competing%20Potts.pdf application/pdf en http://irep.iium.edu.my/66694/2/66694_%CE%BB-model%20with%20competing%20Potts_SCOPUS.pdf Mukhamedov, Farrukh and Pah, Chin Hee and Jamil, Hakim (2018) λ-model with competing Potts interactions on Cayley tree of order 2. In: International Conference on Mathematics, Engineering and Industrial Applications (ICoMEIA 2018, 24th-26th July 2018, Kuala Lumpur. https://aip.scitation.org/doi/10.1063/1.5054231 10.1063/1.5054231 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Pah, Chin Hee Jamil, Hakim λ-model with competing Potts interactions on Cayley tree of order 2 |
| title | λ-model with competing Potts interactions on Cayley tree of order 2 |
| title_full | λ-model with competing Potts interactions on Cayley tree of order 2 |
| title_fullStr | λ-model with competing Potts interactions on Cayley tree of order 2 |
| title_full_unstemmed | λ-model with competing Potts interactions on Cayley tree of order 2 |
| title_short | λ-model with competing Potts interactions on Cayley tree of order 2 |
| title_sort | λ-model with competing potts interactions on cayley tree of order 2 |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/1/66694_%CE%BB-model%20with%20competing%20Potts.pdf http://irep.iium.edu.my/66694/2/66694_%CE%BB-model%20with%20competing%20Potts_SCOPUS.pdf |