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...
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American Institute of Physics Inc.
2018
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| Online Access: | 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 http://irep.iium.edu.my/66694/ https://aip.scitation.org/doi/10.1063/1.5054231 |
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my.iium.irep.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 Conference or Workshop Item 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 |
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QA Mathematics Mukhamedov, Farrukh Pah, Chin Hee Jamil, Hakim λ-model with competing Potts interactions on Cayley tree of order 2 |
| 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. |
| format |
Conference or Workshop Item |
| author |
Mukhamedov, Farrukh Pah, Chin Hee Jamil, Hakim |
| author_facet |
Mukhamedov, Farrukh Pah, Chin Hee Jamil, Hakim |
| author_sort |
Mukhamedov, Farrukh |
| title |
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_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_sort |
λ-model with competing potts interactions on cayley tree of order 2 |
| publisher |
American Institute of Physics Inc. |
| publishDate |
2018 |
| url |
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 http://irep.iium.edu.my/66694/ https://aip.scitation.org/doi/10.1063/1.5054231 |
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