Probability distribution of [Formula Presented]-branch subsets in diffusion-limited aggregation

Haruo Honjo, Shonosuke Ohta

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    Abstract

    This is an attempt to redefine [Formula Presented]-branch subsets in off-lattice two-dimensional diffusion-limited aggregation simulations, where [Formula Presented] is the number of particles of a branch which lacks a hierarchy of order. In our simulations, the total number of aggregated particles [Formula Presented] behaves as [Formula Presented] where [Formula Presented] is the radius of gyration of the cluster and [Formula Presented] is the fractal dimension. The number of [Formula Presented]-branch subsets [Formula Presented] depends on [Formula Presented] as [Formula Presented] and the subsets are [Formula Presented]-dimensional self-similar fractals. These results show that the probability distribution of the subsets is stable, and has a peak at [Formula Presented] and that the subset at [Formula Presented] is the most observable of all the subsets independent of time.

    Original languageEnglish
    Pages (from-to)6202-6205
    Number of pages4
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Volume57
    Issue number5
    DOIs
    Publication statusPublished - Jan 1 1998

    Fingerprint

    Diffusion-limited Aggregation
    set theory
    Branch
    Probability Distribution
    Subset
    fractals
    gyration
    Fractal Dimension
    hierarchies
    Fractal

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • Condensed Matter Physics
    • Physics and Astronomy(all)

    Cite this

    Probability distribution of [Formula Presented]-branch subsets in diffusion-limited aggregation. / Honjo, Haruo; Ohta, Shonosuke.

    In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 57, No. 5, 01.01.1998, p. 6202-6205.

    Research output: Contribution to journalArticle

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