Ground states and phase transition of the λ model on the Cayley tree
We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the order-two Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures exist, which means that a phase transition exists. We establish that two-periodic Gibbs meas...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Pleiades Publishing, Ltd.
2018
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/65012/1/65012_GROUND%20STATES%20AND%20PHASE%20TRANSITION.pdf http://irep.iium.edu.my/65012/2/TOC%20Journal.pdf http://irep.iium.edu.my/65012/ https://link.springer.com/journal/volumesAndIssues/11232 |
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| Institution: | Universiti Islam Antarabangsa Malaysia |
| Language: | English English |
| Summary: | We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the order-two
Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures
exist, which means that a phase transition exists. We establish that two-periodic Gibbs measures exist. |
|---|