Weakly Periodic -Adic Generalized Gibbs Measures for Ising Model on a Cayley Tree

Weakly Periodic -Adic Generalized Gibbs Measures for Ising Model on a Cayley Tree

In the present paper, we consider a -adic Ising model on a Cayley tree of order three. The existence of -weakly periodic (non-periodic) -adic generalized Gibbs measures of this model is investigated. Moreover, the boundedness of such kinds of measures are established, which yields the occurrence of...

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Veröffentlicht in:Lobachevskii journal of mathematics 2024, Vol.45 (1), p.504-517
Hauptverfasser: Rahmatullaev, M. M., Abdukaxorova, Z. T.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Geometry
Ising model
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Phase transitions
Probability Theory and Stochastic Processes
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Zusammenfassung:In the present paper, we consider a -adic Ising model on a Cayley tree of order three. The existence of -weakly periodic (non-periodic) -adic generalized Gibbs measures of this model is investigated. Moreover, the boundedness of such kinds of measures are established, which yields the occurrence of a phase transition.
ISSN:1995-0802
1818-9962
DOI:10.1134/S199508022401044X