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 J1 and ternary interactions Jpt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of Jpt/J1 and T/J1. The phase diag...

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Bibliographic Details
Main Authors: Ganikhodjaev, Nasir, Nawi, Ashraf Mohamed, Rodzhan, Mohd Hirzie
Format: Conference or Workshop Item
Language:English
Published: 2013
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/29180/
http://irep.iium.edu.my/29180/
http://irep.iium.edu.my/29180/1/poster.pdf
id iium-29180
recordtype eprints
spelling iium-291802013-10-09T07:59:39Z http://irep.iium.edu.my/29180/ Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree Ganikhodjaev, Nasir Nawi, Ashraf Mohamed Rodzhan, Mohd Hirzie QA Mathematics We study the phase diagrams for the Potts model with restricted competing nearest-neighbor interactions J1 and ternary interactions Jpt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of Jpt/J1 and T/J1. 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. 2013-02-19 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/29180/1/poster.pdf Ganikhodjaev, Nasir and Nawi, Ashraf Mohamed and Rodzhan, Mohd Hirzie (2013) Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree. In: IIUM Research, Invention and Innovation Exhibition 2013, 19 - 20 February 2013, Cultural Activity Centre (CAC) and KAED Gallery, IIUM. http://www.iium.edu.my/irie/13/index.php/component/content/?view=featured
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
Nawi, Ashraf Mohamed
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 J1 and ternary interactions Jpt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of Jpt/J1 and T/J1. 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 Conference or Workshop Item
author Ganikhodjaev, Nasir
Nawi, Ashraf Mohamed
Rodzhan, Mohd Hirzie
author_facet Ganikhodjaev, Nasir
Nawi, Ashraf Mohamed
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
publishDate 2013
url http://irep.iium.edu.my/29180/
http://irep.iium.edu.my/29180/
http://irep.iium.edu.my/29180/1/poster.pdf
first_indexed 2023-09-18T20:42:49Z
last_indexed 2023-09-18T20:42:49Z
_version_ 1777409478261473280

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