Ground States and Gibbs Measures for the Potts-SOS Model with an External Field on the Cayley Tree
We consider the Potts-SOS model with non-zero external field on the Cayley tree. We describe the ground states for the Potts-SOS model with a translation-invariant external field. We verify the Peierls condition for the model. Using a contour argument, we show the existence of two different Gibbs me...
Gespeichert in:
Veröffentlicht in: | Lobachevskii journal of mathematics 2024, Vol.45 (1), p.518-531 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | We consider the Potts-SOS model with non-zero external field on the Cayley tree. We describe the ground states for the Potts-SOS model with a translation-invariant external field. We verify the Peierls condition for the model. Using a contour argument, we show the existence of two different Gibbs measures at sufficiently low temperatures. Periodic ground states for the Potts-SOS model with a periodic external field are also found. |
---|---|
ISSN: | 1995-0802 1818-9962 |
DOI: | 10.1134/S1995080224010451 |