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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| Format: | Proceeding Paper |
| Language: | English |
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2011
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| Online Access: | http://irep.iium.edu.my/1715/ http://irep.iium.edu.my/1715/2/ORS_2011_fullpaper.pdf |
| _version_ | 1848775902906810368 |
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| author | Ganikhodjaev, Nasir |
| author_facet | Ganikhodjaev, Nasir |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| 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 |
| first_indexed | 2025-11-14T14:21:35Z |
| format | Proceeding Paper |
| id | iium-1715 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:35Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 Proceeding Paper 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 |
| spellingShingle | QA Mathematics QC Physics Ganikhodjaev, Nasir Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields |
| title | 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_short | 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 |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/1715/ http://irep.iium.edu.my/1715/ http://irep.iium.edu.my/1715/2/ORS_2011_fullpaper.pdf |