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

Haruo Honjo, Shonosuke Ohta

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)


    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
    Issue number5
    Publication statusPublished - 1998

    All Science Journal Classification (ASJC) codes

    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Statistics and Probability


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