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    Global structure and finite-size effects in the f(alpha) of diffusion-limited aggregates


    Hanan, G.W. and Heffernan, Daniel (2008) Global structure and finite-size effects in the f(alpha) of diffusion-limited aggregates. Physical Review E, 77 (011405). ISSN 1539-3755

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    Abstract

    The multifractal spectrum f(alpha) characterizing the scaling properties of the growth probability on the boundary of radial diffusion-limited aggregates is known to exhibit strong finite size effects. We demonstrate that there exists a correlation between these finite size effects and those present in measurements of the angular width of the fjords which lie between the principal cluster arms. We subsequently conclude that it is the evolution in the global structure of the clusters which is responsible for the slow convergence in f(alpha) and discuss how this global structure induces a phase transition in f(alpha).

    Item Type: Article
    Keywords: Global structure; finite-size effects; diffusion-limited aggregates;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 4783
    Identification Number: https://doi.org/10.1103/PhysRevE.77.011405
    Depositing User: Prof. Daniel Heffernan
    Date Deposited: 24 Feb 2014 17:02
    Journal or Publication Title: Physical Review E
    Publisher: American Physical Society
    Refereed: Yes
    URI:

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