Are random fractal clusters isotropic?

Fereydoon Family, Tams Vicsek, Paul Meakin

Research output: Contribution to journalArticle

48 Citations (Scopus)


We have studied the shape of large clusters in the lattice-animal, percolation, and growing-percolation models. By calculating the radius of gyration tensor we find that in these models the clusters have an anisotropic shape. The results suggest that the critical droplets in related isotropic equilibrium models, such as the Ising model, may also be anisotropic. We have also determined the leading nonanalytic correction-to-scaling exponent by analyzing the anisotropy data and find that for percolation in two dimensions, 0.47.

Original languageEnglish
Pages (from-to)641-644
Number of pages4
JournalPhysical review letters
Issue number7
Publication statusPublished - Jan 1 1985

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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