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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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 |
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QA Mathematics QC Physics Ganikhodjaev, Nasir Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields |
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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 |
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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 |
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2011 |
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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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