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Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley treeTheoretical and Mathematical Physics, 176
- Publisher
- Springer Journals
- Copyright
- Copyright © Springer Science+Business Media, LLC, part of Springer Nature 2021
- ISSN
- 0041-5995
- eISSN
- 1573-9376
- DOI
- 10.1007/s11253-021-01979-y
- Publisher site
- See Article on Publisher Site
Abstract
We consider the Potts model on a Cayley tree and prove the existence of Gibbs measures constructed by the method proposed in [H. Akin, U. A. Rozikov, and S. Temir, J. Stat. Phys., 142, 314 (2011)]. In addition, we prove that there exist (k0)-translation invariant Gibbs measures for the Potts model on a Cayley tree and compute the free energy of these Gibbs measures.
Journal
Ukrainian Mathematical Journal – Springer Journals
Published: Dec 1, 2021