Universal features of the shapes of percolation clusters and lattice animals

1987 ◽  
Vol 20 (9) ◽  
pp. 2539-2556 ◽  
Author(s):  
J A Aronovitz ◽  
M J Stephen
Keyword(s):  
Lattice Animals ◽  
Percolation Clusters

Lattice Animals as Limits of Clusters in Percolation Theory

1979 ◽  
Vol 34 (9) ◽  
pp. 1140-1142
Author(s):  
B. Rocksloh ◽  
D. Stauffer
Keyword(s):  
Numerical Analysis ◽  
Percolation Theory ◽  
Lattice Animals ◽  
Fixed Size ◽  
Percolation Clusters ◽  
Large Lattice ◽  
Asymptotic Number

Abstract We investigate if the limits p → 0 or p → 1 for large percolation clusters at concentration p correspond to large lattice animals for fixed size s or fixed perimeter t, respectively. A numerical analysis for the asymptotic number of lattice animals with fixed large perimeter shows that the limit s → ∞ can be interchanged with the limit p → 0, but the two limits t → ∞ and p → 1 cannot be interchanged.

Radius, perimeter, and density profile for percolation clusters and lattice animals

1979 ◽  
Vol 34 (4) ◽  
pp. 399-408 ◽  
Author(s):  
H. P. Peters ◽  
D. Stauffer ◽  
H. P. H�lters ◽  
K. Loewenich
Keyword(s):  
Density Profile ◽  
Lattice Animals ◽  
Percolation Clusters

Branched polymer approach to the structure of lattice animals and percolation clusters

1984 ◽  
Vol 17 (4) ◽  
pp. L185-L190 ◽  
Author(s):  
S Alexander ◽  
G S Grest ◽  
H Nakanishi ◽  
T A Witten
Keyword(s):  
Lattice Animals ◽  
Branched Polymer ◽  
Percolation Clusters
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