Mean‐field renormalization and rough surface reflection of acoustic waves

1985 ◽  
Vol 78 (3) ◽  
pp. 1081-1085 ◽  
Author(s):  
N. R. Hill ◽  
I. Lerche
Keyword(s):  
Rough Surface ◽  
Acoustic Waves ◽  
Mean Field ◽  
Surface Reflection ◽  
Field Renormalization

Some exact results from the mean field renormalization group

1992 ◽  
Vol 189 (1-2) ◽  
pp. 367-376 ◽  
Author(s):  
A. das Neves ◽  
J. Kamphorst Leal da Silva ◽  
J.A. Plascak
Keyword(s):  
Renormalization Group ◽  
Mean Field ◽  
Exact Results ◽  
The Mean ◽  
Field Renormalization

MEAN-FIELD RENORMALIZATION GROUP: BIBLIOGRAPHY AND NEW APPLICATIONS USING LARGE CLUSTERS

1993 ◽  
Vol 07 (10) ◽  
pp. 699-709 ◽  
Author(s):  
K. CROES ◽  
J. O. INDEKEU
Keyword(s):  
Renormalization Group ◽  
Mean Field ◽  
Lattice Models ◽  
Group Methods ◽  
Bulk Surface ◽  
Complete Bibliography ◽  
Large Clusters ◽  
New Applications ◽  
Mean Field Approximations ◽  
Field Renormalization

Renormalization group recursions based on mean-field approximations [J. O. Indekeu, A. Maritan, and A. L. Stella, J. Phys.A15, L291 (1982)], commonly referred to as mean-field renormalization group methods (MFRG), have proven to be efficient and easily applicable for computing non-classical critical properties of lattice models. We give a fairly complete bibliography of applications to date, and extend previous test calculations of bulk, surface, and corner critical exponents in the two-dimensional Ising model to larger cluster sizes on triangular, square (including crossing bonds), and honeycomb lattices. Without much effort the exact value of the critical exponent ratioyH/yT is reproduced systematically with a precision of 2%. This ratio turns out to be the most accurate probe of non-classical critical behaviour that is available in the MFRG method.

Mean field renormalization group study of a modified Ashkin-Teller model

1997 ◽  
Vol 242 (1-2) ◽  
pp. 281-289 ◽  
Author(s):  
P. Pawlicki ◽  
G. Musial ◽  
G. Kamieniarz ◽  
J. Rogiers
Keyword(s):  
Renormalization Group ◽  
Mean Field ◽  
Field Renormalization
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