Adatom diffusion on a square lattice: Comparison of real-space renormalization group and Monte Carlo approaches

1999 ◽  
Vol 59 (12) ◽  
pp. 8252-8261 ◽  
Author(s):  
A. A. Tarasenko ◽  
L. Jastrabík ◽  
F. Nieto ◽  
C. Uebing
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Real Space ◽  
Square Lattice ◽  
Adatom Diffusion ◽  
Real Space Renormalization Group

MONTE CARLO RENORMALIZATION GROUP STUDIES OF ANISOTROPIC BOND PERCOLATION

1992 ◽  
Vol 06 (09) ◽  
pp. 1505-1515 ◽  
Author(s):  
C.S. KIM ◽  
MIN-HO LEE
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Universality Class ◽  
Real Space ◽  
Square Lattice ◽  
Group Method ◽  
Scaling Exponent ◽  
Renormalization Group Method ◽  
Real Space Renormalization Group ◽  
Monte Carlo Renormalization Group

In complete analogy with thermal critical phenomena, it is expected that anisotropic percolation is in the same universality class as the isotropic one. However the previous result, obtained from the closed form conventional cell real space renormalization group method on the square lattice, the isotropic fixed point is completely unstable is known. We examine this in the large cell limit by using a Monte Carlo renormalization group method and show that the scaling exponent associated with anisotropy is not relevant.

Real-space renormalization-group treatment of the Maier-Saupe-Zwanzig model for biaxial nematic structures

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Cícero T. G. dos Santos ◽  
André P. Vieira ◽  
Silvio R. Salinas ◽  
Roberto F. S. Andrade
Keyword(s):  
Renormalization Group ◽  
Group Treatment ◽  
Real Space ◽  
Real Space Renormalization Group ◽  
Biaxial Nematic
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