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Ising Model on the Cayley Tree of Third Order with Inhomogeneous Interactions.
- Source :
-
AIP Conference Proceedings . 2018, Vol. 1974 Issue 1, p1-6. 6p. - Publication Year :
- 2018
-
Abstract
- In this paper we investigate the problem of phase transition for Ising model on a semi-infinite Cayley tree of third order with inhomogeneous left, middle and right parameters describing the strength of the interactions between left, middle and right nearest-neighbors respectively. We produce a recurrent equation that describes a limit behavior of the sequence conditional Gibbs measures and prove that if at least two of the parameters are positive one can reach phase transition. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 1974
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 130426374
- Full Text :
- https://doi.org/10.1063/1.5041657