Simple model for competitive dynamics among dendritic sidebranches

Hidetsugu Sakaguchi, Kazuki Kishinawa, Kyohei Katsuki, Haruo Honjo

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)


    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
    Issue number2
    Publication statusPublished - Feb 23 2007

    All Science Journal Classification (ASJC) codes

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


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