Self-organized criticality in an interface-growth model with quenched randomness

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    6 Citations (Scopus)

    Abstract

    We study a modified model of the Kardar-Paris-Zhang equation with quenched disorder, in which the driving force decreases as the interface rises up. A critical state is self-organized, and the anomalous scaling law with roughness exponent α∼0.63 is numerically obtained.

    Original languageEnglish
    Article number032101
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume82
    Issue number3
    DOIs
    Publication statusPublished - Sep 9 2010

    Fingerprint

    Anomalous Scaling
    Quenched Disorder
    Critical State
    Self-organized Criticality
    Scaling Laws
    Driving Force
    Growth Model
    Roughness
    scaling laws
    Randomness
    roughness
    Exponent
    exponents
    disorders
    Decrease
    Model

    All Science Journal Classification (ASJC) codes

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

    Cite this

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    title = "Self-organized criticality in an interface-growth model with quenched randomness",
    abstract = "We study a modified model of the Kardar-Paris-Zhang equation with quenched disorder, in which the driving force decreases as the interface rises up. A critical state is self-organized, and the anomalous scaling law with roughness exponent α∼0.63 is numerically obtained.",
    author = "Hidetsugu Sakaguchi",
    year = "2010",
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    doi = "10.1103/PhysRevE.82.032101",
    language = "English",
    volume = "82",
    journal = "Physical Review E",
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    AB - We study a modified model of the Kardar-Paris-Zhang equation with quenched disorder, in which the driving force decreases as the interface rises up. A critical state is self-organized, and the anomalous scaling law with roughness exponent α∼0.63 is numerically obtained.

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