Diffusion-controlled aggregation in the continuum approximation

作者: R. Ball , M. Nauenberg , T. A. Witten

DOI: 10.1103/PHYSREVA.29.2017

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摘要: A numerical solution and analytic approximation are obtained for the mean-field continuum equations corresponding to diffusion-controlled aggregation. For $dg2$ an asymptotic is found with density of cluster varying as inverse radius, which suggests a Hausdorff dimension $D=d\ensuremath{-}1$.

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