MULTIFRACTAL FEATURES OF RANDOM-WALKS ON RANDOM FRACTALS

被引:75
|
作者
BUNDE, A [1 ]
HAVLIN, S [1 ]
ROMAN, HE [1 ]
机构
[1] NIH, DIV COMP RES & TECHNOL, BETHESDA, MD 20205 USA
来源
PHYSICAL REVIEW A | 1990年 / 42卷 / 10期
关键词
D O I
10.1103/PhysRevA.42.6274
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We find that the fluctuations of the probability density P(r,t) of random walks on random fractals, for fixed distance r and time t, have a broad logarithmic distribution. The average moments Pq scale is a multifractal way, PqP(q), where (q)q, <1. The exponent characterizes the structural disorder in the fractal. In chemical l space, the distribution of P(l,t) is narrow and PqPq. © 1990 The American Physical Society.
引用
收藏
页码:6274 / 6277
页数:4
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