Multifractal geometry of diffusion-limited aggregates

T. Vicsek, F. Family, P. Meakin

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

Off-lattice difkion-limited aggregation (DLA) clusters are shown to have mult@mtaZ geometry. We determine the D, spectrum associated with the mass distributionusing an improved sand box technique and demonstrate that they decrease monotonically withincreasing q. From our results it follows that the commonly used methods for the determination of the fractal dimension of DLA clusters yield D,=2 which is smaller than the true fractal dimension.

Original languageEnglish
Pages (from-to)217-222
Number of pages6
JournalEPL
Volume12
Issue number4
DOIs
Publication statusPublished - Jun 1 1990

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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