Exact solution for an Ising model on the Cayley tree of order 5

We investigate an Ising model with two restricted competing interactions (nearest neighbors, and one-level neighbors) on the Cayley tree of order 5. The translation Gibbs measures is considered for this model. Our result of the critical curve shows that the phase transition occurs in this model, fur...

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Bibliographic Details
Main Authors: Jamil, Hakim, Pah, Chin Hee
Format: Conference Proceeding
Language:English
Subjects:
Ising model
Phase transitions
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Online Access:Get full text
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Summary:We investigate an Ising model with two restricted competing interactions (nearest neighbors, and one-level neighbors) on the Cayley tree of order 5. The translation Gibbs measures is considered for this model. Our result of the critical curve shows that the phase transition occurs in this model, further it confirms a particular case of a conjecture.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4954524