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 hx3 XE V, where V is the set of vertices of the Cayley tree. We show that both models on the Cayley tree with-J < inf {h,: xeV} < sup{ h,: x€V} <...
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| Format: | Book Chapter |
| Language: | English |
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Operations Research and Statistics 2011 & GST
2011
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| Online Access: | http://irep.iium.edu.my/14374/1/ORS_2009_NG.pdf |
| _version_ | 1796876155316338688 |
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| author | Ganikhodjaev, Nasir |
| author_facet | Ganikhodjaev, Nasir |
| author_sort | Ganikhodjaev, Nasir |
| collection | IIUM |
| 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 hx3 XE V, where V is the set of vertices of the Cayley tree. We show that both models on the Cayley tree with-J < inf {h,: xeV} < sup{ h,: x€V} < J, have a first-order phase tansition |
| first_indexed | 2024-03-05T22:48:27Z |
| format | Book Chapter |
| id | oai:generic.eprints.org:14374 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:48:27Z |
| publishDate | 2011 |
| publisher | Operations Research and Statistics 2011 & GST |
| record_format | dspace |
| spelling | oai:generic.eprints.org:143742012-02-03T01:50:41Z http://irep.iium.edu.my/14374/ Phase transition in ferromagnetic lattice models on a Cayley tree with non-uniform external magnetic fields Ganikhodjaev, Nasir QA Mathematics 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 hx3 XE V, where V is the set of vertices of the Cayley tree. We show that both models on the Cayley tree with-J < inf {h,: xeV} < sup{ h,: x€V} < J, have a first-order phase tansition Operations Research and Statistics 2011 & GST 2011-04-07 Book Chapter PeerReviewed application/pdf en http://irep.iium.edu.my/14374/1/ORS_2009_NG.pdf Ganikhodjaev, Nasir (2011) Phase transition in ferromagnetic lattice models on a Cayley tree with non-uniform external magnetic fields. In: Proceedings of the Annual International Conference on Operations Research and Statistics (ORS 2011). Operations Research and Statistics 2011 & GST, Singapore, pp. 106-110. ISBN 9789810884079 (pbk.) |
| spellingShingle | QA Mathematics 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 |
| url | http://irep.iium.edu.my/14374/1/ORS_2009_NG.pdf |
| work_keys_str_mv | AT ganikhodjaevnasir phasetransitioninferromagneticlatticemodelsonacayleytreewithnonuniformexternalmagneticfields |