Simple dynamical models for hierarchical bunching

Hidetsugu Sakaguchi, Norio Fujimoto

    Research output: Contribution to journal › Article

    Abstract

    Simple one-dimensional models for hierarchical bunching are proposed. A uniform state with equal spacing is linearly unstable and bunching clusters are created. The bunching clusters are further merged into even larger clusters. The coarsening process towards the larger clusters obeys a power law for the long-range forces. The exponent of the power law depends on the long-range forces. A continuum version of the lattice model with linear repulsive force is studied more in detail. The model has a form of a kind of spinodal decomposition. The coarsening dynamics is similar to a one-dimensional version of the Ostwald ripening.

    Original languageEnglish
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Volume68
    Issue number5
    DOIs
    Publication statusPublished - Jan 1 2003

    Fingerprint

    bunching
    Dynamical Model
    Coarsening
    Power Law
    Ostwald Ripening
    Spinodal Decomposition
    Ostwald ripening
    One-dimensional Model
    Lattice Model
    Range of data
    Spacing
    Continuum
    Linearly
    Unstable
    Exponent
    spacing
    exponents
    continuums
    decomposition
    Model

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • Condensed Matter Physics
    • Physics and Astronomy(all)

    Cite this

    Simple dynamical models for hierarchical bunching. / Sakaguchi, Hidetsugu; Fujimoto, Norio.

    In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 68, No. 5, 01.01.2003.

    Research output: Contribution to journal › Article

    Sakaguchi, H & Fujimoto, N 2003, 'Simple dynamical models for hierarchical bunching', Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 68, no. 5. https://doi.org/10.1103/PhysRevE.68.056103
    Sakaguchi H, Fujimoto N. Simple dynamical models for hierarchical bunching. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 2003 Jan 1;68(5). https://doi.org/10.1103/PhysRevE.68.056103
    Sakaguchi, Hidetsugu ; Fujimoto, Norio. / Simple dynamical models for hierarchical bunching. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 2003 ; Vol. 68, No. 5.
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