Asymptotic function for multigrowth surfaces using power-law noise

Hiroaki Katsuragi, Haruo Honjo

    Research output: Contribution to journalArticlepeer-review


    Numerical simulations are used to investigate the multiaffine exponent [Formula presented] and multigrowth exponent [Formula presented] of ballistic deposition growth for noise obeying a power-law distribution. The simulated values of [Formula presented] are compared with the asymptotic function [Formula presented] that is approximated from the power-law behavior of the distribution of height differences over time. They are in good agreement for large q. The simulated [Formula presented] is found in the range [Formula presented] This implies that large rare events tend to break the Kardar-Parisi-Zhang universality scaling law at higher order q.

    Original languageEnglish
    Pages (from-to)4
    Number of pages1
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Issue number1
    Publication statusPublished - 2003

    All Science Journal Classification (ASJC) codes

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


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