DISSIPATION, GEOMETRY, AND THE STABILITY OF THE DENSE RADIAL MORPHOLOGY

被引：16

作者：

GRIER, DG

MUETH, D

机构：

[1] James Franck Institute, University of Chicago, Chicago, IL 60637

来源：

PHYSICAL REVIEW E | 1993年 / 48卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.48.3841

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The dense radial morphology appears in a number of systems undergoing branched growth. Neither ordered nor fractal, this pattern is characterized by a large number of branches radiating from a central seed and advancing behind a circular envelope. We propose a model for dense radial growth which self-consistently incorporates dissipation in the growth channels. A linear stability analysis of this model delimits conditions under which the dense radial morphology can develop. Predictions of this model are borne out by numerical simulations of evolving resistor bond networks.

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页码：3841 / 3848

页数：8

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