Angular gaps in radial diffusion-limited aggregation: Two fractal dimensions and nontransient deviations from linear self-similarity

Benoit B. Mandelbrot, Boaz Kol, Amnon Aharony

Research output: Contribution to journalArticlepeer-review

46 Scopus citations

Abstract

The identification of robust structural features of radial diffusion-limited aggregation (DLA) was presented. The distribution of the angular gaps between branches of off-lattice radial DLA was shown to approach a size-independent limit. The power-law expected from an asymptotic fractal dimensions occurred only for clusters significantly larger than M = 106 particles. An effective dimension around 1.67 was exhibited by the intermediate size gaps.

Original languageEnglish
Article number055501
Pages (from-to)555011-555014
Number of pages4
JournalPhysical Review Letters
Volume88
Issue number5
DOIs
StatePublished - 4 Feb 2002

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