Tracing a diffusion-limited aggregate: Self-affine versus self-similar scaling

Albert Lszl Barabsi, Tams Vicsek

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

The geometry of diffusion-limited aggregation clusters is mapped into single-valued functions by tracing the surface of the aggregate and recording the X (or Y) coordinate of the position of a walker moving along the perimeter of the cluster as a function of the arc length. Our numerical results and scaling arguments show that the related plots can be considered as self-affine functions whose scaling behavior is determined by the exponent H=1/D, where D is the fractal dimension of the aggregates.

Original languageEnglish
Pages (from-to)6881-6883
Number of pages3
JournalPhysical Review A
Volume41
Issue number12
DOIs
StatePublished - 1990
Externally publishedYes

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