TY - JOUR

T1 - Structure and perimeters of percolation clusters

AU - Grossman, T.

AU - Aharony, A.

PY - 1986

Y1 - 1986

N2 - Site percolation clusters are simulated at the percolation threshold on the square lattice. An algorithm for walks around each cluster is used to obtain information on its fractal geometry. The fractal dimensionality of the external perimeter is found to depend on the size of adsorbent particles used to measure it: if the vacant perimeter sites have only nearest-neighbour connectivity then the perimeter has dimension De=1.37+or-0.03, instead of that of the hull (Dh=1.75). The authors also measured the mass of internal dangling sites (surrounded by the backbone's 'blobs'), singly and doubly connected sites, the number of 'blobs' and the average linear distance between entry into the exit from a 'blob'.

AB - Site percolation clusters are simulated at the percolation threshold on the square lattice. An algorithm for walks around each cluster is used to obtain information on its fractal geometry. The fractal dimensionality of the external perimeter is found to depend on the size of adsorbent particles used to measure it: if the vacant perimeter sites have only nearest-neighbour connectivity then the perimeter has dimension De=1.37+or-0.03, instead of that of the hull (Dh=1.75). The authors also measured the mass of internal dangling sites (surrounded by the backbone's 'blobs'), singly and doubly connected sites, the number of 'blobs' and the average linear distance between entry into the exit from a 'blob'.

UR - http://www.scopus.com/inward/record.url?scp=0000578291&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/19/12/009

DO - 10.1088/0305-4470/19/12/009

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AN - SCOPUS:0000578291

SN - 0305-4470

VL - 19

SP - L745-L751

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 12

M1 - 009

ER -