MINIMUM GROWTH PROBABILITY OF DIFFUSION-LIMITED AGGREGATES

被引:55
作者
SCHWARZER, S
LEE, J
BUNDE, A
HAVLIN, S
ROMAN, HE
STANLEY, HE
机构
[1] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215
[2] BOSTON UNIV,CTR POLYMER STUDIES,BOSTON,MA 02215
关键词
D O I
10.1103/PhysRevLett.65.603
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We calculate the minimum growth probability for diffusion-limited aggregation (DLA) as a function of the cluster mass M, and find a novel singularity of the form -lnpmin(M)(lnM)y with y2. We interpret this result in terms of a simple model for DLA structure, which is characterized by a hierarchy of self-similar voids separated by channels whose diameter increases slower than the cluster diameter. © 1990 The American Physical Society.
引用
收藏
页码:603 / 606
页数:4
相关论文
共 13 条
[1]  
AHARONY A, 1990, FRACTALS PHYSICS ESS
[2]   GROWTH PROBABILITY-DISTRIBUTION IN KINETIC AGGREGATION PROCESSES [J].
AMITRANO, C ;
CONIGLIO, A ;
DILIBERTO, F .
PHYSICAL REVIEW LETTERS, 1986, 57 (08) :1016-1019
[3]  
BARABASI A, IN PRESS J PHYS A
[4]   BREAKDOWN OF MULTIFRACTAL BEHAVIOR IN DIFFUSION-LIMITED AGGREGATES [J].
BLUMENFELD, R ;
AHARONY, A .
PHYSICAL REVIEW LETTERS, 1989, 62 (25) :2977-2980
[5]   SCALING OF NEGATIVE MOMENTS OF THE GROWTH PROBABILITY OF DIFFUSION-LIMITED AGGREGATES [J].
HARRIS, AB ;
COHEN, M .
PHYSICAL REVIEW A, 1990, 41 (02) :971-982
[6]   EXACT ENUMERATION METHOD FOR DIFFUSION-LIMITED AGGREGATION [J].
HAVLIN, S ;
TRUS, BL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (14) :L731-L735
[7]   PHASE-TRANSITION IN THE MULTIFRACTAL SPECTRUM OF DIFFUSION-LIMITED AGGREGATION [J].
LEE, J ;
STANLEY, HE .
PHYSICAL REVIEW LETTERS, 1988, 61 (26) :2945-2948
[8]  
MANDELBROT BB, 1989, J PHYS A, V20, pL377
[9]   EXPONENTIALLY SMALL GROWTH PROBABILITIES IN DIFFUSION-LIMITED AGGREGATION [J].
TRUNFIO, PA ;
ALSTROM, P .
PHYSICAL REVIEW B, 1990, 41 (01) :896-898
[10]   OCCUPANCY-PROBABILITY SCALING IN DIFFUSION-LIMITED AGGREGATION [J].
TURKEVICH, LA ;
SCHER, H .
PHYSICAL REVIEW LETTERS, 1985, 55 (09) :1026-1029