Numerical study of crystal size distribution in polynuclear growth

Hidetsugu Sakaguchi, Takuma Ohishi

    Research output: Contribution to journalArticlepeer-review


    The crystal size distribution in polynuclear growth is numerically studied using a coupled map lattice model. The width of the size distribution depends on c/D, where c is the growth rate at interface sites and D is the diffusion constant. When c/D is sufficiently small, the width W increases linearly with c/D and saturates at large c/D. Monodisperse square and cubic crystals are obtained respectively on square and cubic lattices when c/D is sufficiently small for a small kinetic parameter b. The linear dependence of W on c/D in a parameter range of small c/D is explained by the eigenfunction for the first eigenvalue in a two-dimensional model and a mean-field model. For the mean-field model, the slope of the linear dependence is evaluated theoretically.

    Original languageEnglish
    Article number064004
    Journaljournal of the physical society of japan
    Issue number6
    Publication statusPublished - Jun 15 2015

    All Science Journal Classification (ASJC) codes

    • General Physics and Astronomy


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