Mean-field renormalization group with reaction field for diluted ising model

1987 ◽  
Vol 9 (2) ◽  
pp. 123-131
Author(s):  
M. Droz ◽  
A. Maritan ◽  
A. L. Stella
Keyword(s):  
Renormalization Group ◽  
Ising Model ◽  
Mean Field ◽  
Reaction Field ◽  
Field Renormalization

Phase Diagram of the Semi-Infinite Ising Model in a Random Field

1997 ◽  
Vol 11 (21n22) ◽  
pp. 973-979 ◽  
Author(s):  
A. S. de Arruda ◽  
W. Figueiredo
Keyword(s):  
Phase Diagram ◽  
Renormalization Group ◽  
Ising Model ◽  
Random Field ◽  
Random Fields ◽  
Mean Field ◽  
Cubic Lattice ◽  
The Mean ◽  
Tricritical Behavior ◽  
Field Renormalization

We determine the phase diagram of the semi-infinite Ising model in a cubic lattice with a trimodal distribution of random fields on the surface. We use the mean-field renormalization group with the smallest possible clusters to show that a very small dilution of the random field at surface is sufficient to destroy the tricritical behavior.

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