Weakly Periodic Gibbs Measures of the Ising Model on the Cayley Tree of Order Five and Six

For Ising model on the Cayley tree of order five and six we present new weakly periodic (non-periodic) Gibbs measures corresponding to normal subgroups of indices two in the group representation of the Cayley tree.

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Bibliographic Details
Published in:Mathematical physics, analysis, and geometry analysis, and geometry, 2018-03, Vol.21 (1), p.1-10, Article 2
Main Authors: Ganikhodjaev, Nasir, Rahmatullaev, Muzaffar, Rodzhan, Mohd Hirzie Bin Mohd
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Geometry
Group Theory and Generalizations
Ising model
Mathematical and Computational Physics
Physics
Physics and Astronomy
Subgroups
Theoretical
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Description
Summary:For Ising model on the Cayley tree of order five and six we present new weakly periodic (non-periodic) Gibbs measures corresponding to normal subgroups of indices two in the group representation of the Cayley tree.
ISSN:1385-0172
1572-9656
DOI:10.1007/s11040-017-9260-2