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
Subjects:
Online Access:http://irep.iium.edu.my/1715/
http://irep.iium.edu.my/1715/
http://irep.iium.edu.my/1715/2/ORS_2011_fullpaper.pdf
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recordtype eprints
spelling iium-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 PeerReviewed 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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
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/
http://irep.iium.edu.my/1715/
http://irep.iium.edu.my/1715/2/ORS_2011_fullpaper.pdf
first_indexed 2023-09-18T20:09:10Z
last_indexed 2023-09-18T20:09:10Z
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