Simple model for competitive dynamics among dendritic sidebranches

Hidetsugu Sakaguchi, Kazuki Kishinawa, Kyohei Katsuki, Haruo Honjo

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We study competitive dynamics among sidebranches in the crystal growth of dendrites. Numerical simulations are performed with a coupled map lattice to investigate the competitive dynamics among dendritic branches. A simple form of interaction via a diffusion field is estimated from the numerical simulations of the coupled map lattice. We propose a needle model on the basis of the competitive interaction, and perform numerical simulations of it. The size distribution of the dendritic branches exhibits a power law in the needle model.

    Original languageEnglish
    Article number021606
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume75
    Issue number2
    DOIs
    Publication statusPublished - Feb 23 2007

    Fingerprint

    Coupled Map Lattices
    needles
    Numerical Simulation
    Branch
    Dendrite
    Crystal Growth
    simulation
    dendrites
    Interaction
    crystal growth
    Power Law
    interactions
    Model
    Form

    All Science Journal Classification (ASJC) codes

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

    Cite this

    Simple model for competitive dynamics among dendritic sidebranches. / Sakaguchi, Hidetsugu; Kishinawa, Kazuki; Katsuki, Kyohei; Honjo, Haruo.

    In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 75, No. 2, 021606, 23.02.2007.

    Research output: Contribution to journalArticle

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