SCALING OF NEGATIVE MOMENTS OF THE GROWTH PROBABILITY OF DIFFUSION-LIMITED AGGREGATES

被引:26
作者
HARRIS, AB
COHEN, M
机构
[1] Department of Physics, University of Pennsylvania, Philadelphia
来源
PHYSICAL REVIEW A | 1990年 / 41卷 / 02期
关键词
D O I
10.1103/PhysRevA.41.971
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The qth moment M(q) of the growth probability of diffusion-limited aggregates is studied for q<0 in terms of the value [M(q,N)]av obtained by averaging M(q) over the ensemble of all aggregates of a given number of particles N. For a range of structures that are susceptible to precise analysis, we verify that all moments, even those for q<0, obey asymptotic power-law scaling in N. Since we cannot analyze completely arbitrary structures, our analysis is not definitive. However, it does suggest the validity of a recent proposal by one of us that there is no Lifshitz-like anomaly (similar to that found for the distribution of currents in the random resistor network) leading to non-power-law scaling of the negative moments of the growth probability. © 1990 The American Physical Society.
引用
收藏
页码:971 / 982
页数:12
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