The branching structure of diffusion-limited aggregates
Preprint
- 8 May 1997
Abstract
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 B ~ 4.9, in good agreement with the numerically obtained result of B ~ 5.2. In high dimensions, B -> 3.12; 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.Keywords
All Related Versions
- Version 1, 1997-05-08, ArXiv
- Published version: Europhysics Letters, 39 (1), 43.
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