Diffusion-limited aggregation

T. A. Witten and L. M. Sander
Phys. Rev. B 27, 5686 – Published 1 May 1983
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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.

  • Received 19 November 1982

DOI:https://doi.org/10.1103/PhysRevB.27.5686

©1983 American Physical Society

Authors & Affiliations

T. A. Witten

  • Exxon Research and Engineering Company, Linden, New Jersey 07036

L. M. Sander

  • Physics Department, University of Michigan, Ann Arbor, Michigan 48109

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Issue

Vol. 27, Iss. 9 — 1 May 1983

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