Diffusion-limited aggregation as a deterministic growth process

198591 citationsJournal Article

Authors

L. M. Sander · University of Michigan–Ann Arbor

P. Ramanlal · University of Michigan–Ann Arbor

Eshel Ben‐Jacob · University of Michigan–Ann Arbor

Abstract

A set of deterministic continuum equations is proposed to represent diffusion-limited aggregation. A solution using a Green's-function method gives growth very similar to discrete simulations. The growth equations have no external noise. The relationship to viscous fingering and other growth processes is explored.

Topics & Keywords

Theoretical and Computational Physics Mathematical Biology Tumor Growth

Publication Details

Published in: Physical review. A, General physics

Volume 32, Issue 5, pp. 3160-3163

DOI: 10.1103/physreva.32.3160

Field-Weighted Citation Impact: 5.55

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Diffusion-limited aggregation as a deterministic growth process

Authors

Abstract

Topics & Keywords

Publication Details