The branching structure of diffusion-limited aggregates

Details The branching structure of diffusion-limited aggregates The branching structure of diffusion-limited aggregates

1997-05-08

arxiv.org/abs/patt-sol/9705006v1

Nonlinear Sciences

Pattern Formation and Solitons

6 pages, 1 figure, Euro-LaTeX style

Scientific paper

10.1209/epl/i1997-00311-6

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.

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