Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree

Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree

We study translation-invariant Gibbs measures for the ferromagnetic Potts model with q states on the Cayley tree of order k and generalize some earlier results. We consider the question of the extremality of the known translation-invariant Gibbs measures for the Potts model with three states on the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Theoretical and mathematical physics 2018-07, Vol.196 (1), p.1043-1058
Hauptverfasser: Rozikov, U. A., Khakimov, R. M., Khaidarov, F. Kh
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Ferromagnetism
Invariants
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We study translation-invariant Gibbs measures for the ferromagnetic Potts model with q states on the Cayley tree of order k and generalize some earlier results. We consider the question of the extremality of the known translation-invariant Gibbs measures for the Potts model with three states on the Cayley tree of order k = 3.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577918070103