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Diffusion-Limited Aggregation

Richard J. Gaylord
Organization: University of Illinois at Urbana-Champaign
Department: Department of Material Science and Engineering
W. Tyndall
Journal / Anthology

Mathematica in Education
Year: 1992
Volume: 1
Issue: 3
Page range: 6-10

Diffusion-Limited-Aggregation is a simple model which represents a kinetic growth process which is prevalent in nature. It consists of particles undergoing Brownian motion and 'sticking' to any other particle that is encountered. As the process proceeds, the coalescence of particles results in the formation of a large, irregularly shaped clusters. A program for carrying out computer simulations of DLA is implemented, an animation of the growth process is made and its fractal dimension is determined. Pure functions are used wherever possible. Modifications of the basic DLA model are also suggested for further computer exploration.

*Mathematics > Discrete Mathematics > Cellular Automata
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