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The branching structure of diffusion-limited aggregates

Thomas C. Halsey
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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.

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Thomas C. Halsey. 1997-05-08. The branching structure of diffusion-limited aggregates. https://doi.org/10.1209/epl%2Fi1997-00311-6

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