On the existence of phase transition for the 1D p-Adic countable state potts models
In the present paper we establish the existence of a phase transition for one-dimensional the countable state p-adic Potts model. To establish such results, we investigate an infinite dimensional nonlinear p-adic operator associated with the model. It turns out that the finding condition does not...
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| Format: | Article |
| Language: | English English |
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Pleiades Publishing
2015
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| Online Access: | http://irep.iium.edu.my/44199/ http://irep.iium.edu.my/44199/1/mf-MathNotes-2015.pdf http://irep.iium.edu.my/44199/4/44199_On%20the%20existence%20of%20phase%20transition%20for%20the%201D%20p-Adic%20countable%20state%20potts%20models_SCOPUS.pdf |
| _version_ | 1848782570839343104 |
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| author | Mukhamedov, Farrukh |
| author_facet | Mukhamedov, Farrukh |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | In the present paper we establish the existence of a phase transition for one-dimensional
the countable state p-adic Potts model. To establish such results, we investigate an infinite
dimensional nonlinear p-adic operator associated with the model. It turns out that the finding
condition does not depend on values of the prime p, and therefore, an analogous fact is not true
when the number of spins is finite. |
| first_indexed | 2025-11-14T16:07:34Z |
| format | Article |
| id | iium-44199 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:07:34Z |
| publishDate | 2015 |
| publisher | Pleiades Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-441992017-11-15T01:11:43Z http://irep.iium.edu.my/44199/ On the existence of phase transition for the 1D p-Adic countable state potts models Mukhamedov, Farrukh QA Mathematics In the present paper we establish the existence of a phase transition for one-dimensional the countable state p-adic Potts model. To establish such results, we investigate an infinite dimensional nonlinear p-adic operator associated with the model. It turns out that the finding condition does not depend on values of the prime p, and therefore, an analogous fact is not true when the number of spins is finite. Pleiades Publishing 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44199/1/mf-MathNotes-2015.pdf application/pdf en http://irep.iium.edu.my/44199/4/44199_On%20the%20existence%20of%20phase%20transition%20for%20the%201D%20p-Adic%20countable%20state%20potts%20models_SCOPUS.pdf Mukhamedov, Farrukh (2015) On the existence of phase transition for the 1D p-Adic countable state potts models. Mathematical Notes, 98 (2). pp. 283-288. ISSN 0001-4346 http://link.springer.com/journal/11006 10.1134/S0001434615070305 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh On the existence of phase transition for the 1D p-Adic countable state potts models |
| title | On the existence of phase transition for the 1D p-Adic countable state potts models |
| title_full | On the existence of phase transition for the 1D p-Adic countable state potts models |
| title_fullStr | On the existence of phase transition for the 1D p-Adic countable state potts models |
| title_full_unstemmed | On the existence of phase transition for the 1D p-Adic countable state potts models |
| title_short | On the existence of phase transition for the 1D p-Adic countable state potts models |
| title_sort | on the existence of phase transition for the 1d p-adic countable state potts models |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/44199/ http://irep.iium.edu.my/44199/ http://irep.iium.edu.my/44199/ http://irep.iium.edu.my/44199/1/mf-MathNotes-2015.pdf http://irep.iium.edu.my/44199/4/44199_On%20the%20existence%20of%20phase%20transition%20for%20the%201D%20p-Adic%20countable%20state%20potts%20models_SCOPUS.pdf |