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树突状侧支间竞争动力学的简单模型。

Simple model for competitive dynamics among dendritic sidebranches.

作者信息

Sakaguchi Hidetsugu, Kishinawa Kazuki, Katsuki Kyohei, Honjo Haruo

机构信息

Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga, Fukuoka 816-8580, Japan.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Feb;75(2 Pt 1):021606. doi: 10.1103/PhysRevE.75.021606. Epub 2007 Feb 23.

DOI:10.1103/PhysRevE.75.021606
PMID:17358352
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.

摘要

我们研究枝晶晶体生长中侧枝间的竞争动力学。使用耦合映射格点进行数值模拟,以研究树枝状分支间的竞争动力学。通过耦合映射格点的数值模拟估计了一种通过扩散场的简单相互作用形式。我们基于竞争相互作用提出了一个针状模型,并对其进行了数值模拟。在针状模型中,树枝状分支的尺寸分布呈现幂律。

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