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

Haruo Honjo, Shonosuke Ohta

    研究成果: Contribution to journalArticle査読

    10 被引用数 (Scopus)

    抄録

    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.

    本文言語英語
    ページ(範囲)6202-6205
    ページ数4
    ジャーナルPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    57
    5
    DOI
    出版ステータス出版済み - 1 1 1998

    All Science Journal Classification (ASJC) codes

    • 統計物理学および非線形物理学
    • 数理物理学
    • 凝縮系物理学
    • 物理学および天文学(全般)

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