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Diffusion-limited aggregation

Physical review. B, Condensed matter · 1983 · Vol. 27(9) · pp. 5686–5697

Thomas A. Witten✉(ExxonMobil (United States))Leonard M. Sander(ExxonMobil (United States))

Abstract

Diffusion-limited aggregation (DLA) is an idealization of the process by which matter irreversibly combines to form dust, soot, dendrites, and other random objects in the case where the rate-limiting step is diffusion of matter to the aggregate. We study the process from several points of view stressing the fact that it apparently gives rise to scale-invariant objects whose Hausdorff dimension is independent of short-range details. We show that DLA has no upper critical dimension. We apply scale invariance to study growth, gelation, and the structure factor of aggregates.

Theoretical and Computational Physics Complex Systems and Time Series Analysis Stochastic processes and statistical mechanicsDiffusion-limited aggregationScale invarianceStatistical physicsHausdorff dimensionDiffusionPhysicsLimitingAggregate (composite)Diffusion processDimension (graph theory)

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