Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions
For Potts model on a Cayley tree we produce recursive relations that provide us the numerically exact phase diagram of the model. Each phase is characterized by a particular attractor and the phase diagram is obtained by following the evolution and detecting the qualitative changements of these att...
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| Format: | Article |
| Language: | English |
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Eudoxus Press, LLC
2011
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| Online Access: | http://irep.iium.edu.my/1740/ http://irep.iium.edu.my/1740/1/strange_attractor_in_the_potts_model_on_a_cayley_tree.pdf |
| _version_ | 1848775907763814400 |
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| author | Ganikhodjaev, Nasir |
| author_facet | Ganikhodjaev, Nasir |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | For Potts model on a Cayley tree we produce recursive relations that provide us the numerically exact phase diagram of the model. Each phase is characterized by a
particular attractor and the phase diagram is obtained by following the evolution and detecting the qualitative changements of these attractors. These changements can be
either continuous or abrupt, respectively characterizing second- or first- order phase transitions. We present a few typical attractors and at finite temperatures, several
interesting features (evolution of reentrances, separation of the modulated region into few disconnected pieces, etc) are exhibited for typical values of parameters. |
| first_indexed | 2025-11-14T14:21:39Z |
| format | Article |
| id | iium-1740 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:39Z |
| publishDate | 2011 |
| publisher | Eudoxus Press, LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-17402011-12-13T07:06:25Z http://irep.iium.edu.my/1740/ Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions Ganikhodjaev, Nasir QA Mathematics QC Physics For Potts model on a Cayley tree we produce recursive relations that provide us the numerically exact phase diagram of the model. Each phase is characterized by a particular attractor and the phase diagram is obtained by following the evolution and detecting the qualitative changements of these attractors. These changements can be either continuous or abrupt, respectively characterizing second- or first- order phase transitions. We present a few typical attractors and at finite temperatures, several interesting features (evolution of reentrances, separation of the modulated region into few disconnected pieces, etc) are exhibited for typical values of parameters. Eudoxus Press, LLC 2011 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1740/1/strange_attractor_in_the_potts_model_on_a_cayley_tree.pdf Ganikhodjaev, Nasir (2011) Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions. Journal of Concrete and Applicable Mathematics, 9 (1). pp. 47-54. ISSN 1559-176X (O), 1548-5390 (P) http://www.ccs2012.org/files/2010/ccs2010_4_JCAAM--VOL-9--2011--NO--1.pdf |
| spellingShingle | QA Mathematics QC Physics Ganikhodjaev, Nasir Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions |
| title | Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions |
| title_full | Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions |
| title_fullStr | Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions |
| title_full_unstemmed | Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions |
| title_short | Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions |
| title_sort | strange attractor in the potts model on a cayley tree in the presence of competing interactions |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/1740/ http://irep.iium.edu.my/1740/ http://irep.iium.edu.my/1740/1/strange_attractor_in_the_potts_model_on_a_cayley_tree.pdf |