Phase diagrams of a Potts Model with competing binary and ternary interactions

The Potts model on the Cayley tree of second order, with competing interactions between the nearest-neighbor, prolonged next-nearest neighbor and two-level triple neighbors has been studied. The phase diagram is studied for several ranges of the competing parameters showing the appearance of several...

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Main Authors: Temir, Seyit, Ganikhodjaev, Nasir, Akin, Hasan, Uguz, Selman
Format: Proceeding Paper
Language:English
Published: American Institute of Physics 2010
Subjects:
Online Access:http://irep.iium.edu.my/1638/2/AIP_ICNAAM_2010_Seyit.pdf
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author Temir, Seyit
Ganikhodjaev, Nasir
Akin, Hasan
Uguz, Selman
author_facet Temir, Seyit
Ganikhodjaev, Nasir
Akin, Hasan
Uguz, Selman
author_sort Temir, Seyit
collection IIUM
description The Potts model on the Cayley tree of second order, with competing interactions between the nearest-neighbor, prolonged next-nearest neighbor and two-level triple neighbors has been studied. The phase diagram is studied for several ranges of the competing parameters showing the appearance of several features and modulated phases arising from the frustration effects introduced by the two-level triple neighbors interaction.
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spelling oai:generic.eprints.org:16382011-12-13T06:54:03Z http://irep.iium.edu.my/1638/ Phase diagrams of a Potts Model with competing binary and ternary interactions Temir, Seyit Ganikhodjaev, Nasir Akin, Hasan Uguz, Selman QA Mathematics The Potts model on the Cayley tree of second order, with competing interactions between the nearest-neighbor, prolonged next-nearest neighbor and two-level triple neighbors has been studied. The phase diagram is studied for several ranges of the competing parameters showing the appearance of several features and modulated phases arising from the frustration effects introduced by the two-level triple neighbors interaction. American Institute of Physics 2010-09-30 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/1638/2/AIP_ICNAAM_2010_Seyit.pdf Temir, Seyit and Ganikhodjaev, Nasir and Akin, Hasan and Uguz, Selman (2010) Phase diagrams of a Potts Model with competing binary and ternary interactions. In: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010, 19–25 September 2010, Rhodes (Greece). http://link.aip.org/link/?APCPCS/1281/2069/1 10.1063/1.3498356
spellingShingle QA Mathematics
Temir, Seyit
Ganikhodjaev, Nasir
Akin, Hasan
Uguz, Selman
Phase diagrams of a Potts Model with competing binary and ternary interactions
title Phase diagrams of a Potts Model with competing binary and ternary interactions
title_full Phase diagrams of a Potts Model with competing binary and ternary interactions
title_fullStr Phase diagrams of a Potts Model with competing binary and ternary interactions
title_full_unstemmed Phase diagrams of a Potts Model with competing binary and ternary interactions
title_short Phase diagrams of a Potts Model with competing binary and ternary interactions
title_sort phase diagrams of a potts model with competing binary and ternary interactions
topic QA Mathematics
url http://irep.iium.edu.my/1638/2/AIP_ICNAAM_2010_Seyit.pdf
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AT ganikhodjaevnasir phasediagramsofapottsmodelwithcompetingbinaryandternaryinteractions
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AT uguzselman phasediagramsofapottsmodelwithcompetingbinaryandternaryinteractions