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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Main Authors: Jamil, Hakim, Pah, Chin Hee
Format: Conference Proceeding
Language:English
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Ising model
Phase transitions
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description 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.
doi_str_mv 10.1063/1.4954524
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source American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list)
subjects Ising model
Phase transitions
title Exact solution for an Ising model on the Cayley tree of order 5
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