Publication
Journal of Physics A: General Physics
Paper

The fractal dimension of percolation cluster hulls

View publication

Abstract

Large simulations of 2D site percolation on a square lattice provide several estimates of the fractal dimension Dh of the 'hull' or outer boundary of percolation clusters close to criticality. Statistical estimates based on an ensemble of more than 106 clusters with varying sizes yield Dh=1.74+or-0.02. Geometrical measurements of the hull two-point correlation for individual clusters with more than 105 sites give Dh=1.76+or-0.01. The observed scaling behaviour is the same both slightly above and below pc.

Date

01 Jan 1999

Publication

Journal of Physics A: General Physics

Authors

Share