Diffusion-limited aggregation as branched growth

Preprint

31 January 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9401077

Abstract

I present a first-principles theory of diffusion-limited aggregation in two dimensions. A renormalized mean-field approximation gives the form of the unstable manifold for branch competition, following the method of Halsey and Leibig [Phys. Rev. A {\bf 46}, 7793 (1992)]. This leads to a result for the cluster dimensionality, D \approx 1.66, which is close to numerically obtained values. In addition, the multifractal exponent \tau(3) = D in this theory, in agreement with a proposed `electrostatic' scaling law.

Keywords

DIFFUSION LIMITED AGGREGATION
LIMITED AGGREGATION
PRINCIPLES THEORY
BRANCHED GROWTH
APPROXIMATION
ELECTROSTATIC
COMPETITION

All Related Versions

Version 1, 1994-01-31, ArXiv
Published version: Physical Review Letters, 72 (8), 1228.

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