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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Operations Research and Statistics 2011 & GST
2011
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my.iium.irep.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 REM 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.) |
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QA Mathematics |
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QA Mathematics 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 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 |
| format |
Book Chapter |
| 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 |
| publisher |
Operations Research and Statistics 2011 & GST |
| publishDate |
2011 |
| url |
http://irep.iium.edu.my/14374/1/ORS_2009_NG.pdf http://irep.iium.edu.my/14374/ |
| _version_ |
1643606889729097728 |
| score |
13.18916 |