On Ising model with four competing interactions on Cayley tree
In the paper we consider an Ising model with four competing interactions (external field, nearest neighbor, second neighbors and triples of neighbors) on the Cayley tree of order two.We show that for some parameter values of the model there is a phase transition. Our second result gives complete de...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Netherlands
2009
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1642/ http://irep.iium.edu.my/1642/ http://irep.iium.edu.my/1642/ http://irep.iium.edu.my/1642/1/Ising_with_4_inter.pdf |
| Summary: | In the paper we consider an Ising model with four competing interactions (external field, nearest neighbor, second neighbors and triples of neighbors) on the Cayley tree of order two.We show that for some parameter values of the model there is a phase transition. Our second result gives
complete description of the periodic Gibbs measures for the model. We also construct uncountably many non-periodic extreme Gibbs measures. |
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