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Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree.
- Source :
-
Theoretical & Mathematical Physics . Jan2022, Vol. 210 Issue 1, p135-153. 19p. - Publication Year :
- 2022
-
Abstract
- We study the Potts model in translation-invariant and periodic external fields on the Cayley tree of order . For the Potts model in a translation-invariant external field for , the nonuniqueness of the translation-invariant and periodic Gibbs measure is shown. It is proved that for the Potts model in an external field that is not translation-invariant, translation-invariant Gibbs measures do not exist on the Cayley tree of order . Periodic Gibbs measures are also studied for the Potts model in a periodic external field. We prove that under certain conditions, the number of such measures can be at least three. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POTTS model
*TREES
Subjects
Details
- Language :
- English
- ISSN :
- 00405779
- Volume :
- 210
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Theoretical & Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 154922341
- Full Text :
- https://doi.org/10.1134/S004057792201010X