Renormalization Theory of Stochastic Growth

Preprint

1 July 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9607007

Abstract

An analytical renormalization group treatment is presented of a model which, for one value of parameters, is equivalent to diffusion limited aggregation. The fractal dimension of DLA is computed to be 2-1/2+1/5=1.7. Higher multifractal exponents are also calculated and found in agreement with numerical results. It may be possible to use this technique to describe the dielectric breakdown model as well, which is given by different parameter values.

Keywords

ANALYTICAL RENORMALIZATION
RENORMALIZATION THEORY
RENORMALIZATION GROUP
STOCHASTIC GROWTH
PARAMETER VALUES
BREAKDOWN
DIFFUSION
FRACTAL

All Related Versions

Version 1, 1996-07-01, ArXiv
Published version: Physical Review E, 55 (1), 135.

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