Multifractal features of random walks on random fractals

Armin Bunde; Shlomo Havlin; H. Eduardo Roman

doi:10.1103/PhysRevA.42.6274

Multifractal features of random walks on random fractals

Armin Bunde
, Shlomo Havlin
, H. Eduardo Roman

University of Hamburg
National Institutes of Health

Research output: Contribution to journal › Article › peer-review

80 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	6274-6277
Number of pages	4
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	42
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevA.42.6274
State	Published - 1990
Externally published	Yes

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10.1103/PhysRevA.42.6274

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title = "Multifractal features of random walks on random fractals",

abstract = "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.",

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doi = "10.1103/PhysRevA.42.6274",

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AU - Roman, H. Eduardo

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AB - 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.

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IS - 10

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Multifractal features of random walks on random fractals

Abstract

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