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.

Bunde, A., Havlin, S., Roman, H. (1990). Multifractal features of random walks on random fractals. PHYSICAL REVIEW A, 42(10), 6274-6277 [10.1103/PhysRevA.42.6274].

Multifractal features of random walks on random fractals

Roman H. E.
1990

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. © 1990 The American Physical Society.
Articolo in rivista - Articolo scientifico
random walks, random fractals, multifractlity for diffusion
English
1990
42
10
6274
6277
none
Bunde, A., Havlin, S., Roman, H. (1990). Multifractal features of random walks on random fractals. PHYSICAL REVIEW A, 42(10), 6274-6277 [10.1103/PhysRevA.42.6274].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/326786
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