Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions

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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Main Author: Ganikhodjaev, Nasir
Format: Article
Language:English
Published: Eudoxus Press, LLC 2011
Subjects:
QA Mathematics
QC Physics
Online Access: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
id iium-1740
recordtype eprints
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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
QC Physics
spellingShingle QA Mathematics
QC Physics
Ganikhodjaev, Nasir
Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions
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.
format Article
author Ganikhodjaev, Nasir
author_facet Ganikhodjaev, Nasir
author_sort Ganikhodjaev, Nasir
title 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_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_sort strange attractor in the potts model on a cayley tree in the presence of competing interactions
publisher Eudoxus Press, LLC
publishDate 2011
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
first_indexed 2023-09-18T20:09:12Z
last_indexed 2023-09-18T20:09:12Z
_version_ 1777407364147707904

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