Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions
In this paper we investigate the problem of phase transition for Ising model on a semi-infinite Cayley tree of third order with inhomogeneous left, middle and right parameters describing the strength of the interactions between left, middle and right nearest-neighbors respectively. We produce a recu...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English English English |
| Published: |
American Institute of Physics Inc.
2018
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/58331/3/Presentation%20SKSM25_NG.pdf http://irep.iium.edu.my/58331/18/58331_Ising%20model%20on%20the%20semi-infinite%20Cayley%20tree.pdf http://irep.iium.edu.my/58331/19/58331_Ising%20model%20on%20the%20semi-infinite%20Cayley%20tree_SCOPUS.pdf http://irep.iium.edu.my/58331/ https://aip.scitation.org/doi/pdf/10.1063/1.5041657?class=pdf |
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| Institution: | Universiti Islam Antarabangsa Malaysia |
| Language: | English English English |
| Summary: | In this paper we investigate the problem of phase transition for Ising model on a semi-infinite Cayley tree of third order with inhomogeneous left, middle and right parameters describing the strength of the interactions between left, middle and right nearest-neighbors respectively. We produce a recurrent equation that describes a limit behavior of the sequence conditional Gibbs measures and prove that if at least two of the parameters are positive one can reach phase transition. |
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