Mean-field theory for diffusion-limited aggregation in low dimensions

Efim Brener, Herbert Levine, and Yuhai Tu
Phys. Rev. Lett. 66, 1978 – Published 15 April 1991
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Abstract

We present a new mean-field theory of diffusion-limited aggregation (DLA). We apply our approach to calculate the ensemble-averaged structure seen in recent experiments in a two-dimensional channel geometry. Our method explains the similarity between the average DLA occupancy and the Saffman-Taylor finger pattern.

  • Received 9 November 1990

DOI:https://doi.org/10.1103/PhysRevLett.66.1978

©1991 American Physical Society

Authors & Affiliations

Efim Brener, Herbert Levine, and Yuhai Tu

  • Department of Physics and Institute for Nonlinear Science, University of California, San Diego, La Jolla, California 92093

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Issue

Vol. 66, Iss. 15 — 15 April 1991

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