Simple dynamical models for hierarchical bunching

Hidetsugu Sakaguchi, Norio Fujimoto

    Research output: Contribution to journalArticlepeer-review


    The one-dimensional models for hierarchical bunching were discussed. A uniform state with equal spacing was found to be linearly unstable and bunching clusters were created. A continuum version of the lattice model with linear repulsive was studied. Analysis shows that the coarsening dynamics was similar to a one-dimensional version of the Ostwald ripening.

    Original languageEnglish
    Article number056103
    Pages (from-to)561031-561036
    Number of pages6
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Issue number5 2
    Publication statusPublished - Nov 2003

    All Science Journal Classification (ASJC) codes

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


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