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    Multifractal analysis of the branch structure of diffusion-limited aggregates


    Hanan, W.G. and Heffernan, Daniel (2012) Multifractal analysis of the branch structure of diffusion-limited aggregates. Physical Review E, 85 (021407). pp. 1-10. ISSN 1539-3755

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    Abstract

    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.

    Item Type: Article
    Additional Information: The definitive version of this article is available at DOI: 10.1103/PhysRevE.85.021407
    Keywords: Multifractal analysis; branch structure; diffusion-limited aggregates;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 4449
    Depositing User: Prof. Daniel Heffernan
    Date Deposited: 03 Sep 2013 13:52
    Journal or Publication Title: Physical Review E
    Publisher: American Physical Society
    Refereed: Yes
    URI:

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