SELF-SIMILARITY OF THE BRANCHING STRUCTURE IN VERY LARGE DLA CLUSTERSAND OTHER BRANCHING FRACTALS

Authors
YEKUTIELI I MANDELBROT BB KAUFMAN H
Citation
I. Yekutieli et al., SELF-SIMILARITY OF THE BRANCHING STRUCTURE IN VERY LARGE DLA CLUSTERSAND OTHER BRANCHING FRACTALS, Journal of physics. A, mathematical and general, 27(2), 1994, pp. 275-284
Citations number
27
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
2
Year of publication
1994
Pages
275 - 284
Database
ISI
SICI code
0305-4470(1994)27:2<275:SOTBSI>2.0.ZU;2-1
Abstract
We study the branching structure of very large DLA clusters, of up to 100 million particles. The Horton-Strahler ordering of the branches in these clusters shows a relaxation towards a state with the stream num bers forming a geometric series. This behaviour is compared with those of several self-similar trees. It indicates that DLA clusters converg e to topologically self-similar objects.