SIMPLIFIED DIFFUSION-LIMITED AGGREGATION MODELS

被引:1
作者
MEAKIN, P [1 ]
机构
[1] DUPONT CO,CENT RES & DEV,EXPTL STN,WILMINGTON,DE 19880
来源
PHYSICA A | 1992年 / 187卷 / 1-2期
关键词
D O I
10.1016/0378-4371(92)90406-G
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Computer simulations have been used to explore two-dimensional diffusion-limited aggregation models in which growth is allowed only at the tips of needle shaped arms that are directed away from the origin. For the case of two adsorbing needles with growth velocities equal to the rate at which the needle tips capture random walkers the critical angle, theta(c) (between the two needles) for stable growth is about 30-degrees-33-degrees (in good agreement with the theoretical value of pi[1 - (2/3)1/2] or about 33.03-degrees obtained by Derrida and Hakim (preprint, 1992). For the growth of n symmetrically directed arms with the same boundary conditions all n arms grow in a stable pattern for n less-than-or-equal-to 6. For n greater-than-or-equal-to 7 the growth of n needles is not stable. Quite different results are reported for other needle growth models with different boundary conditions.
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页码:1 / 17
页数:17
相关论文
共 42 条
[1]   ANISOTROPY AND CLUSTER GROWTH BY DIFFUSION-LIMITED AGGREGATION [J].
BALL, RC ;
BRADY, RM ;
ROSSI, G ;
THOMPSON, BR .
PHYSICAL REVIEW LETTERS, 1985, 55 (13) :1406-1409
[2]   DIFFUSION LIMITED AGGREGATION AND ITS RESPONSE TO ANISOTROPY [J].
BALL, RC .
PHYSICA A, 1986, 140 (1-2) :62-69
[3]   LARGE-SCALE LATTICE EFFECT IN DIFFUSION-LIMITED AGGREGATION [J].
BALL, RC ;
BRADY, RM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (13) :L809-&
[4]  
BALL RC, 1986, GROWTH FORM FRACTAL
[5]   BREAKDOWN OF MULTIFRACTAL BEHAVIOR IN DIFFUSION-LIMITED AGGREGATES [J].
BLUMENFELD, R ;
AHARONY, A .
PHYSICAL REVIEW LETTERS, 1989, 62 (25) :2977-2980
[6]   DIFFUSION-LIMITED AGGREGATION WITHOUT BRANCHING IN THE CONTINUUM APPROXIMATION [J].
CATES, ME .
PHYSICAL REVIEW A, 1986, 34 (06) :5007-5009
[7]  
DERRIDA B, 1991, PREPRINT
[8]   GROWTH AND FORM OF NOISE-REDUCED DIFFUSION-LIMITED AGGREGATION [J].
ECKMANN, JP ;
MEAKIN, P ;
PROCACCIA, I ;
ZEITAK, R .
PHYSICAL REVIEW A, 1989, 39 (06) :3185-3195
[9]   ASYMPTOTIC SHAPE OF DIFFUSION-LIMITED AGGREGATES WITH ANISOTROPY [J].
ECKMANN, JP ;
MEAKIN, P ;
PROCACCIA, I ;
ZEITAK, R .
PHYSICAL REVIEW LETTERS, 1990, 65 (01) :52-55
[10]   ASYMPTOTIC STRUCTURE OF DIFFUSION-LIMITED AGGREGATION CLUSTERS IN 2 DIMENSIONS [J].
FAMILY, F ;
HENTSCHEL, HGE .
FARADAY DISCUSSIONS, 1987, 83 :139-144