A p-Adic Generalized Gibbs Measure for the Ising Model on a Cayley Tree

We consider a p-adic Ising model on the Cayley tree of order k ≥ 2 . We completely describe all p-adic-translation-invariant generalized Gibbs measures for k = 3 . Moreover, we show the existence of a phase transition for the p-adic Ising model for any k ≥ 3 if p ≡ 1 (mod 4) .

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Veröffentlicht in:	Theoretical and mathematical physics 2019-10, Vol.201 (1), p.1521-1530
Hauptverfasser:	Rahmatullaev, M. M., Khakimov, O. N., Tukhtaboev, A. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Ising model Mathematical and Computational Physics Phase transitions Physics Physics and Astronomy Theoretical
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Beschreibung
Zusammenfassung:	We consider a p-adic Ising model on the Cayley tree of order k ≥ 2 . We completely describe all p-adic-translation-invariant generalized Gibbs measures for k = 3 . Moreover, we show the existence of a phase transition for the p-adic Ising model for any k ≥ 3 if p ≡ 1 (mod 4) .
ISSN:	0040-5779 1573-9333
DOI:	10.1134/S004057791910009X