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