title: Simple model for competitive dynamics among dendritic sidebranches.
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.
authors.affiliation: Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga, Fukuoka 816-8580, Japan.
authors.forename: Hidetsugu
authors.initials: H
authors.lastname: Sakaguchi
authors.forename: Kazuki
authors.initials: K
authors.lastname: Kishinawa
authors.forename: Kyohei
authors.initials: K
authors.lastname: Katsuki
authors.forename: Haruo
authors.initials: H
authors.lastname: Honjo