On Ising Model with Four Competing Interactions on Cayley Tree View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2009-02-10

AUTHORS

N. N. Ganikhodjaev, U. A. Rozikov

ABSTRACT

In the paper we consider an Ising model with four competing interactions (external field, nearest neighbor, second neighbors and triples of neighbors) on the Cayley tree of order two. We show that for some parameter values of the model there is a phase transition. Our second result gives complete description of the periodic Gibbs measures for the model. We also construct uncountably many non-periodic extreme Gibbs measures. More... »

PAGES

141-156

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11040-009-9056-0

DOI

http://dx.doi.org/10.1007/s11040-009-9056-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1032320792


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