Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields

In this article we study the phase transition phenomenon for the Ising and Potts models under the action of a non-uniform external magnetic field hx, x V, where V is the set of vertices of the Cayley tree. We show that both models on the Cayley tree with –J < inf {hx: x V} < sup{ hx: x V} <...

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Main Author: Ganikhodjaev, Nasir
Format: Conference or Workshop Item
Language:English
Published: 2011
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Online Access:http://irep.iium.edu.my/1715/2/ORS_2011_fullpaper.pdf
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spelling my.iium.irep.17152011-11-30T05:49:39Z http://irep.iium.edu.my/1715/ Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields Ganikhodjaev, Nasir QA Mathematics QC Physics In this article we study the phase transition phenomenon for the Ising and Potts models under the action of a non-uniform external magnetic field hx, x V, where V is the set of vertices of the Cayley tree. We show that both models on the Cayley tree with –J < inf {hx: x V} < sup{ hx: x V} < J, have a first-order phase transition 2011-04 Conference or Workshop Item REM application/pdf en http://irep.iium.edu.my/1715/2/ORS_2011_fullpaper.pdf Ganikhodjaev, Nasir (2011) Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields. In: Annual International Conference on Operations Research and Statistics (ORS 2011), 7-8 April 2011, Penang, Malaysia. http://dl.globalstf.org/index.php?page=shop.product_details&flypage=flypage_images.tpl&product_id=623&category_id=47&option=com_virtuemart&Itemid=4&vmcchk=1&Itemid=4
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
QC Physics
spellingShingle QA Mathematics
QC Physics
Ganikhodjaev, Nasir
Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields
description In this article we study the phase transition phenomenon for the Ising and Potts models under the action of a non-uniform external magnetic field hx, x V, where V is the set of vertices of the Cayley tree. We show that both models on the Cayley tree with –J < inf {hx: x V} < sup{ hx: x V} < J, have a first-order phase transition
format Conference or Workshop Item
author Ganikhodjaev, Nasir
author_facet Ganikhodjaev, Nasir
author_sort Ganikhodjaev, Nasir
title Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields
title_short Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields
title_full Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields
title_fullStr Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields
title_full_unstemmed Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields
title_sort phase transition in ferromagnetic lattice models on a cayley tree with non-uniform external magnetic fields
publishDate 2011
url http://irep.iium.edu.my/1715/2/ORS_2011_fullpaper.pdf
http://irep.iium.edu.my/1715/
http://dl.globalstf.org/index.php?page=shop.product_details&flypage=flypage_images.tpl&product_id=623&category_id=47&option=com_virtuemart&Itemid=4&vmcchk=1&Itemid=4
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