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2006
Springer

Constrained diffusion-limited aggregation in 3 dimensions

12 years 1 months ago
Constrained diffusion-limited aggregation in 3 dimensions
Diffusion Limited Aggregation (DLA) has usually been studied in 2 dimensions as a model of fractal growth processes such as river networks, plant branching, frost on glass, electro-deposition, lightning, mineral deposits, and coral. Here the basic principles are extended into 3 dimensions and used to create, among other things, believable models of root systems. An additional innovation is a means of constraining the growth of the 3 dimensional DLA by a surface or containing it within a vessel. DLA in 3 dimensions The rules for forming DLA structures are very simple and were first introduced in 2 dimensions by T.A. Witten and L.M. Sander around 1981 [1]. A particle is introduced into an environment at a random position, it moves around randomly (for example: Brownian motion) until it encounters the existing structure (initially just a single stationary particle) at which stage it permanently adheres at the point of contact and becomes part of the DLA structure. As an example of DLA in...
Paul D. Bourke
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where CG
Authors Paul D. Bourke
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