Fractal structure and cluster statistics of zinc-metal trees de- posited on a line electrode

M. Matsushita, Y. Hayakawa, Y. Sawada

    Research output: Contribution to journalArticle

    91 Citations (Scopus)

    Abstract

    Zinc-metal trees are grown two dimensionally from a line electrode by electrodeposition. The deposits, which consist of trees of all sizes, bear close resemblance to the patterns of two-dimensional (d=2) diffusion-limited deposition on a one-dimensional (db=1) substrate computer simulated first by Meakin. The fractal nature of the deposits is confirmed with the fractal dimension df(2,1)=0.700.06. The number of deposits (trees) of size s is also found to scale as nss- with apeq21.54. These values are in excellent agreement with the theoretical values calculated for the case of the diffusion-limited deposition with d=2 and db=1 and with the large-scale computer-simulation results.

    Original languageEnglish
    Pages (from-to)3814-3816
    Number of pages3
    JournalPhysical Review A
    Volume32
    Issue number6
    DOIs
    Publication statusPublished - 1985 Jan 1

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

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