Random walk in a percolation cluster: external field dependence

1991 ◽  
Vol 24 (3) ◽  
pp. 735-740
Author(s):  
Jae Woo Lee ◽  
Ho Chui Kim ◽  
Jong-Jean Kim
Keyword(s):  
Random Walk ◽  
External Field ◽  
Field Dependence ◽  
Percolation Cluster

RANDOM WALK ON ANISOTROPICALLY GENERATED PERCOLATION CLUSTER AND ANISOTROPIC RANDOM WALK ON PERCOLATION CLUSTER

1989 ◽  
Vol 03 (10) ◽  
pp. 765-770
Author(s):  
C.S. KIM ◽  
MIN-HO LEE
Keyword(s):  
Random Walk ◽  
Fractal Dimensionality ◽  
Percolation Cluster ◽  
Asymptotic Convergence ◽  
Spectral Dimensionality

We studied two subjects related to anisotropy: random walk on percolation cluster having anisotropy (RWAC) and direction dependent (anisotropic) random walk on percolation cluster (AWIC). We find that the anisotropy of the cluster has only time-delaying effect on asymptotic convergence of the spectral dimensionality ds and fractal dimensionality of walk dw, however, the anisotropy of the walk results in lower spectral dimensionality and higher fractal dimensionality, as anisotropy grows larger.

scholarly journals Generation of percolation cluster perimeters by a random walk

1984 ◽  
Vol 17 (15) ◽  
pp. 3009-3017 ◽  
Author(s):  
R M Ziff ◽  
P T Cummings ◽  
G Stells
Keyword(s):  
Random Walk ◽  
Percolation Cluster

scholarly journals The External Field Dependence of the BCS Critical Temperature

2015 ◽  
Vol 342 (1) ◽  
pp. 189-216 ◽  
Author(s):  
Rupert L. Frank ◽  
Christian Hainzl ◽  
Robert Seiringer ◽  
Jan Philip Solovej
Keyword(s):  
Critical Temperature ◽  
External Field ◽  
Field Dependence

Random walk on percolation under an external field

2005 ◽  
Vol 350 (2-4) ◽  
pp. 163-172 ◽  
Author(s):  
Yu-Xia Zhang ◽  
Jian-Ping Sang ◽  
Xian-Wu Zou ◽  
Zhun-Zhi Jin
Keyword(s):  
Random Walk ◽  
External Field
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