Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree

We study the phase diagram of the Blume-Emery-Griffiths-Vannimenus model on a Cayley tree with competing nearest-neighbour couplings and next-nearest-neighbour couplings and show that a detailed study of its properties can be carried out with essentially exact results, using rather simple numerical...

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Main Author: Ganikhodjaev, Nasir
Format: Article
Language:English
Published: Institute of Physics Publishing (UK) 2013
Subjects:
Online Access:http://irep.iium.edu.my/28942/
http://irep.iium.edu.my/28942/
http://irep.iium.edu.my/28942/
http://irep.iium.edu.my/28942/1/IC-MSQUARE_1742-6596_410_1_012034.pdf
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spelling iium-289422013-06-11T09:04:07Z http://irep.iium.edu.my/28942/ Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree Ganikhodjaev, Nasir QA Mathematics We study the phase diagram of the Blume-Emery-Griffiths-Vannimenus model on a Cayley tree with competing nearest-neighbour couplings and next-nearest-neighbour couplings and show that a detailed study of its properties can be carried out with essentially exact results, using rather simple numerical methods. In addition to the expected paramagnetic and ferromagnetic phases, we and modulated phase for Blume-Emery-Griffiths model and hence for Blume-Emery-Griffiths-Vannimenus model also. Institute of Physics Publishing (UK) 2013-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/28942/1/IC-MSQUARE_1742-6596_410_1_012034.pdf Ganikhodjaev, Nasir (2013) Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree. Journal of Physics: Conference Series, 410 (1). pp. 1-5. ISSN 1742-6588 (P), 1742-6596 (O) http://iopscience.iop.org/1742-6596/410/1/012034 10.1088/1742-6596/410/1/012034
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
Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree
description We study the phase diagram of the Blume-Emery-Griffiths-Vannimenus model on a Cayley tree with competing nearest-neighbour couplings and next-nearest-neighbour couplings and show that a detailed study of its properties can be carried out with essentially exact results, using rather simple numerical methods. In addition to the expected paramagnetic and ferromagnetic phases, we and modulated phase for Blume-Emery-Griffiths model and hence for Blume-Emery-Griffiths-Vannimenus model also.
format Article
author Ganikhodjaev, Nasir
author_facet Ganikhodjaev, Nasir
author_sort Ganikhodjaev, Nasir
title Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree
title_short Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree
title_full Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree
title_fullStr Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree
title_full_unstemmed Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree
title_sort phase diagram of the blume-emery-griffiths-vannimenus model on the cayley tree
publisher Institute of Physics Publishing (UK)
publishDate 2013
url http://irep.iium.edu.my/28942/
http://irep.iium.edu.my/28942/
http://irep.iium.edu.my/28942/
http://irep.iium.edu.my/28942/1/IC-MSQUARE_1742-6596_410_1_012034.pdf
first_indexed 2023-09-18T20:42:31Z
last_indexed 2023-09-18T20:42:31Z
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