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
相关论文
共 18 条
  • [1] FLORY APPROXIMANT FOR SELF-AVOIDING WALKS ON FRACTALS
    AHARONY, A
    HARRIS, AB
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1989, 54 (3-4) : 1091 - 1097
  • [2] ALEXANDER S, 1983, J PHYS LETT-PARIS, V43, P1652
  • [3] CRITICALLY BRANCHED CHAINS AND PERCOLATION CLUSTERS
    ALEXANDROWICZ, Z
    [J]. PHYSICS LETTERS A, 1980, 80 (04) : 284 - 286
  • [4] [Anonymous], RANDOM FLUCTUATIONS
  • [5] [Anonymous], 1979, SCALING CONCEPTS POL
  • [6] DIFFUSIVE MOTION ON A FRACTAL - GNM(T)
    GUYER, RA
    [J]. PHYSICAL REVIEW A, 1985, 32 (04): : 2324 - 2335
  • [7] ANOMALOUS DIFFUSION, SUPERLOCALIZATION AND HOPPING CONDUCTIVITY ON FRACTAL MEDIA
    HARRIS, AB
    AHARONY, A
    [J]. EUROPHYSICS LETTERS, 1987, 4 (12): : 1355 - 1360
  • [8] TOPOLOGICAL PROPERTIES OF PERCOLATION CLUSTERS
    HAVLIN, S
    NOSSAL, R
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (08): : L427 - L432
  • [9] DIFFUSION IN DISORDERED MEDIA
    HAVLIN, S
    BENAVRAHAM, D
    [J]. ADVANCES IN PHYSICS, 1987, 36 (06) : 695 - 798
  • [10] THE FRACTAL DIMENSION OF THE MINIMUM PATH IN TWO-DIMENSIONAL AND 3-DIMENSIONAL PERCOLATION
    HERRMANN, HJ
    STANLEY, HE
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (17): : L829 - L833