| Issue |
Europhys. Lett.
Volume 39, Number 6, September 1997
|
|
|---|---|---|
| Page(s) | 587 - 592 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1997-00399-6 | |
| Published online | 01 September 2002 | |
Some generalization of self-similarity
P.O. Box 39953, Ramat-Aviv 61398, Tel-Aviv, Israel
Received:
18
March
1996
Accepted:
10
August
1997
It is shown that stretched exponential form of probability density of the random fractal systems is a consequence of generalized (on fractal random series) central-limit theorem. It is also shown that the stretched exponential form of probability density could lead to a generalized self-similarity in the random fractal systems. Good agreement with numerical simulations and experiments of different authors for turbulent, diffusive and growth processes is established.
PACS: 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion
© EDP Sciences, 1997
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