Structure and perimeters of percolation clusters

T. Grossman*, A. Aharony

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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'.

Original languageEnglish
Article number009
Pages (from-to)L745-L751
JournalJournal of Physics A: Mathematical and General
Volume19
Issue number12
DOIs
StatePublished - 1986

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