scholarly journals Fractal to Euclidean crossover and scaling for random walks on percolation clusters. II. Three‐dimensional lattices

1985 ◽  
Vol 83 (6) ◽  
pp. 3099-3102 ◽  
Author(s):  
Panos Argyrakis ◽  
Raoul Kopelman
Keyword(s):  
Random Walks ◽  
Three Dimensional ◽  
Percolation Clusters

Exact-enumeration approach to random walks on percolation clusters in two dimensions

1984 ◽  
Vol 30 (3) ◽  
pp. 1626-1628 ◽  
Author(s):  
Imtiaz Majid ◽  
Daniel Ben- Avraham ◽  
Shlomo Havlin ◽  
H. Eugene Stanley
Keyword(s):  
Random Walks ◽  
Two Dimensions ◽  
Exact Enumeration ◽  
Percolation Clusters

Return probabilities for certain three-dimensional random walks

1979 ◽  
Vol 16 (01) ◽  
pp. 45-53 ◽  
Author(s):  
D. J. Daley
Keyword(s):  
Random Walks ◽  
Three Dimensional ◽  
Cubic Lattice ◽  
Starting Point

For some three-dimensional random walks on the cubic lattice, the probability of the walk returning to its starting point is given numerically.

Return probabilities for certain three-dimensional random walks

1979 ◽  
Vol 16 (1) ◽  
pp. 45-53 ◽  
Author(s):  
D. J. Daley
Keyword(s):  
Random Walks ◽  
Three Dimensional ◽  
Cubic Lattice ◽  
Starting Point

For some three-dimensional random walks on the cubic lattice, the probability of the walk returning to its starting point is given numerically.

Diffusion on Self-Similar Structures

Fractals ◽  
1997 ◽  
Vol 05 (03) ◽  
pp. 379-393 ◽  
Author(s):  
H. Eduardo Roman
Keyword(s):  
Random Walks ◽  
Probability Density ◽  
Analytical Solutions ◽  
Asymptotic Form ◽  
Theoretical Framework ◽  
Percolation Clusters ◽  
Self Similar

Diffusion on self-similar structures is reviewed within a unified theoretical framework. Much attention is devoted to the asymptotic form of the probability density of random walks on fractals, for which analytical solutions are discussed. New predictions for the structure of percolation clusters at criticality are presented.

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