| Issue |
Europhys. Lett.
Volume 39, Number 1, July I 1997
|
|
|---|---|---|
| Page(s) | 43 - 48 | |
| Section | Condensed matter: structure, thermal and mechanical properties | |
| DOI | https://doi.org/10.1209/epl/i1997-00311-6 | |
| Published online | 01 September 2002 | |
The branching structure of diffusion-limited aggregates
Exxon Research and Engineering - Route 22 East, Annandale,
NJ 08801, USA
Received:
24
February
1997
Accepted:
30
May
1997
I analyze the topological structures generated by diffusion-limited
aggregation (DLA), using the recently developed "branched growth model".
The computed bifurcation number B for DLA in two dimensions is 
, in good agreement with the numerically obtained result of 
. In high dimensions, 
; the bifurcation ratio is thus a
decreasing function of dimensionality. This analysis also determines the
scaling properties of the ramification matrix, which describes the
hierarchy of branches.
PACS: 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates) / 47.53.+n – Fractals / 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion
© EDP Sciences, 1997
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