Back to Search Start Over

Ising Model on the Cayley Tree of Third Order with Inhomogeneous Interactions.

Authors :
Ganikhodjaev, Nasir
Binti Ibrahim, Huda Husna
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