Multifractal analysis of the branch structure of diffusion-limited aggregates

Multifractal analysis of the branch structure of diffusion-limited aggregates

We examine the branch structure of radial diffusion-limited aggregation (DLA) clusters for evidence of multifractality. The lacunarity of DLA clusters is measured and the generalized dimensions D(q) of their mass distribution is estimated using the sandbox method. We find that the global n-fold symm...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2012-02, Vol.85 (2 Pt 1), p.021407-021407, Article 021407
Hauptverfasser: Hanan, W G, Heffernan, D M
Format: Artikel
Sprache:eng
Schlagworte:
Colloids - chemistry
Computer Simulation
Diffusion
Fractals
Models, Chemical
Models, Molecular
Models, Statistical
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We examine the branch structure of radial diffusion-limited aggregation (DLA) clusters for evidence of multifractality. The lacunarity of DLA clusters is measured and the generalized dimensions D(q) of their mass distribution is estimated using the sandbox method. We find that the global n-fold symmetry of the aggregates can induce anomalous scaling behavior into these measurements. However, negating the effects of this symmetry, standard scaling is recovered.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.85.021407