Scaling properties for the unscreened surfaces of fractal patterns

M. Matsushita, Y. Hayakawa, S. Sato, K. Honda

    Research output: Contribution to journalArticle

    15 Citations (Scopus)

    Abstract

    A new formula is derived for the information dimension D1 of the unscreened surface of a fractal pattern (its fractal dimension df). The formula yields D1=d-1, independent of df, when Brownian particles are used to probe the surface. The extension is made to the case of the probability distribution due to the growth rule of the model. The approximate expression of the generalized dimension Dq (q1) is then derived. All the results are found to be in very good agreement with our numerical results and the available data reported so far.

    Original languageEnglish
    Pages (from-to)86-89
    Number of pages4
    JournalPhysical Review Letters
    Volume59
    Issue number1
    DOIs
    Publication statusPublished - 1987 Jan 1

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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