Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree

Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree

We study the phase diagrams for the Potts model with restricted competing nearest-neighbor interactions J 1 and ternary interactions J pt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of J pt /J 1 and T/J 1. The phase...

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Main Authors: Ganikhodjaev, Nasir, Mohamed Nawi, Ashraf, Rodzhan, Mohd Hirzie
Format: Article
Language:English
Published: The Korean Physical Society 2012
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/26111/
http://irep.iium.edu.my/26111/
http://irep.iium.edu.my/26111/
http://irep.iium.edu.my/26111/1/art%253A10.3938%252Fjkps.61.998.pdf
id iium-26111
recordtype eprints
spelling iium-261112012-11-06T09:50:06Z http://irep.iium.edu.my/26111/ Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree Ganikhodjaev, Nasir Mohamed Nawi, Ashraf Rodzhan, Mohd Hirzie QA Mathematics We study the phase diagrams for the Potts model with restricted competing nearest-neighbor interactions J 1 and ternary interactions J pt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of J pt /J 1 and T/J 1. The phase diagrams are obtained from stability conditions, and characteristic points in the iteration scheme are numerically analyzed. The wavevectors versus temperature are plotted for some critical points in the modulated phases. Then, we using the Lyapunov exponent to verify the stability of the periods. The Korean Physical Society 2012-10 Article PeerReviewed application/pdf en http://irep.iium.edu.my/26111/1/art%253A10.3938%252Fjkps.61.998.pdf Ganikhodjaev, Nasir and Mohamed Nawi, Ashraf and Rodzhan, Mohd Hirzie (2012) Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree. Journal of the Korean Physical Society, 61 (7). pp. 998-1004. ISSN 1976-8524 (O), 0374-4884 (P) http://link.springer.com/article/10.3938%2Fjkps.61.998?LI=true# 10.3938/jkps.61.998
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Mohamed Nawi, Ashraf
Rodzhan, Mohd Hirzie
Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree
description We study the phase diagrams for the Potts model with restricted competing nearest-neighbor interactions J 1 and ternary interactions J pt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of J pt /J 1 and T/J 1. The phase diagrams are obtained from stability conditions, and characteristic points in the iteration scheme are numerically analyzed. The wavevectors versus temperature are plotted for some critical points in the modulated phases. Then, we using the Lyapunov exponent to verify the stability of the periods.
format Article
author Ganikhodjaev, Nasir
Mohamed Nawi, Ashraf
Rodzhan, Mohd Hirzie
author_facet Ganikhodjaev, Nasir
Mohamed Nawi, Ashraf
Rodzhan, Mohd Hirzie
author_sort Ganikhodjaev, Nasir
title Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree
title_short Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree
title_full Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree
title_fullStr Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree
title_full_unstemmed Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree
title_sort potts model with next-nearest-neighbor ternary interactions on an arbitrary-order cayley tree
publisher The Korean Physical Society
publishDate 2012
url http://irep.iium.edu.my/26111/
http://irep.iium.edu.my/26111/
http://irep.iium.edu.my/26111/
http://irep.iium.edu.my/26111/1/art%253A10.3938%252Fjkps.61.998.pdf
first_indexed 2023-09-18T20:38:55Z
last_indexed 2023-09-18T20:38:55Z
_version_ 1777409233672732672

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