scholarly journals Universality classes for interface growth with quenched disorder

1994 ◽  
Vol 73 (1) ◽  
pp. 62-65 ◽  
Author(s):  
Luís A. Nunes Amaral ◽  
Albert-László Barabási ◽  
H. Eugene Stanley
Keyword(s):  
Quenched Disorder ◽  
Interface Growth ◽  
Universality Classes

SURFACE ROUGHENING WITH QUENCHED DISORDER IN d-DIMENSIONS

Fractals ◽  
1993 ◽  
Vol 01 (04) ◽  
pp. 827-839 ◽  
Author(s):  
SERGEY V. BULDYREV ◽  
SHLOMO HAVLIN ◽  
JANOS KERTÉSZ ◽  
ARKADY SHEHTER ◽  
H. EUGENE STANLEY
Keyword(s):  
Critical Exponents ◽  
Cayley Tree ◽  
Universality Class ◽  
Critical Dimension ◽  
Quenched Disorder ◽  
Surface Roughening ◽  
Upper Critical Dimension ◽  
Interface Growth ◽  
Roughness Exponent ◽  
Good Agreement

We review recent numerical simulations of several models of interface growth in d- dimensional media with quenched disorder. These models belong to the universality class of anisotropic diode-resistor percolation networks. The values of the roughness exponent α=0.63±0.01 (d=1+1) and α=0.48±0.02 (d=2+1) are in good agreement with our recent experiments. We study also the diode-resistor percolation on a Cayley tree. We find that [Formula: see text] thus suggesting that the critical exponent for [Formula: see text]βp=∞ and that the upper critical dimension in this problem is d=dc=∞. Other critical exponents on the Cayley tree are: τ=3,ν||=ν⊥=γ=σ=0. The exponents related to roughness are: α=β=0, z=2.

scholarly journals Monolayer CrCl3 as an Ideal Test Bed for the Universality Classes of 2D Magnetism

2021 ◽  
Vol 127 (3) ◽  
Author(s):  
M. Dupont ◽  
Y. O. Kvashnin ◽  
M. Shiranzaei ◽  
J. Fransson ◽  
N. Laflorencie ◽  
...  
Keyword(s):  
Test Bed ◽  
Universality Classes

scholarly journals Interface growth driven by a single active particle

2019 ◽  
Vol 100 (5) ◽  
Author(s):  
Prachi Bisht ◽  
Mustansir Barma
Keyword(s):  
Active Particle ◽  
Interface Growth

scholarly journals Impact of size mismatch induced quenched disorder on phase fluctuation and low field magnetotransport in polycrystalline Nd0.58−xGdxSr0.42MnO3

2010 ◽  
Vol 107 (9) ◽  
pp. 09D726 ◽  
Author(s):  
Manoj K. Srivastava ◽  
Ravikant Prasad ◽  
P. K. Siwach ◽  
M. P. Singh ◽  
H. K. Singh
Keyword(s):  
Phase Fluctuation ◽  
Quenched Disorder ◽  
Size Mismatch ◽  
Low Field

Amorphous molybdenum silicide layers and Mo/Si(100) interface growth: Local structure and preparation dependence

1990 ◽  
Vol 41 (9) ◽  
pp. 5871-5880 ◽  
Author(s):  
H. L. Meyerheim ◽  
U. Döbler ◽  
A. Puschmann ◽  
K. Baberschke
Keyword(s):  
Local Structure ◽  
Molybdenum Silicide ◽  
Interface Growth

scholarly journals Novel surface universality classes with strong anisotropy

2006 ◽  
Vol 39 (25) ◽  
pp. 8183-8204 ◽  
Author(s):  
B Schmittmann ◽  
Gunnar Pruessner ◽  
H K Janssen
Keyword(s):  
Strong Anisotropy ◽  
Universality Classes
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