Dynamic scaling of the growing rough surfaces

Naoki Kobayashi, Osamu Moriyama, So Kitsunezaki, Yoshihiro Yamazaki, Mitsugu Matsushita

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    4 Citations (Scopus)

    Abstract

    We have numerically investigated the self-affinity of the bacterial colony model. In order to examine the growth exponent β, we find a new approach to the dynamic scaling hypothesis for the growing rough surface. We have first investigated the self-affinity of the well-known Eden model to check the validity of the new approach. The obtained results of the exponents α ≅ 0.50 and β ≅ 0.33 coincide with the well-known values of the exponents of the Eden model. We have then applied it successfully to growing interfaces produced by the bacterial colony model. We have found that the self-affinity of the bacterial colony model is characterized as α ≅ 0.80 and β ≅ 0.65.

    Original languageEnglish
    Pages (from-to)2112-2116
    Number of pages5
    JournalJournal of the Physical Society of Japan
    Volume73
    Issue number8
    DOIs
    Publication statusPublished - 2004 Aug

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    Keywords

    • Bacterial colonies
    • Dynamic scaling
    • Growing rough surface
    • Pattern formation
    • Self-affinity

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Kobayashi, N., Moriyama, O., Kitsunezaki, S., Yamazaki, Y., & Matsushita, M. (2004). Dynamic scaling of the growing rough surfaces. Journal of the Physical Society of Japan, 73(8), 2112-2116. https://doi.org/10.1143/JPSJ.73.2112