Exact solution for an Ising model on the Cayley tree of order
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, f...
| Main Authors: | , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English English English |
| Published: |
AIP Publishing
2016
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/51153/ http://irep.iium.edu.my/51153/ http://irep.iium.edu.my/51153/ http://irep.iium.edu.my/51153/1/1.4954524.pdf http://irep.iium.edu.my/51153/4/51153_exact_solution_preface.pdf http://irep.iium.edu.my/51153/7/51153_Exact%20solution%20for%20an%20Ising%20model_scopus.pdf |
| 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 |
|---|