RANGE OF MULTIFRACTALITY FOR RANDOM-WALKS ON RANDOM FRACTALS

Authors
EISENBERG E BUNDE A HAVLIN S ROMAN HE
Citation
E. Eisenberg et al., RANGE OF MULTIFRACTALITY FOR RANDOM-WALKS ON RANDOM FRACTALS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(4), 1993, pp. 2333-2335
Citations number
16
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
47
Issue
4
Year of publication
1993
Pages
2333 - 2335
Database
ISI
SICI code
1063-651X(1993)47:4<2333:ROMFRO>2.0.ZU;2-Y
Abstract
We study the range of multifractality for the probability density P(r, t) of random walks on linear random fractals, for a given distance r a nd time t. Analytical study of the moments [P(q)(r,t)] shows that mult ifractality exists only when 1 < qr(d)w/t and qr/t < 1, with d(w) = 2d (f), where d(f) is the fractal dimension of the linear fractal. The re sults can be extended to more general random fractals and are consiste nt with recent numerical data for the form of [P(r,t)].