We study by numerical simulation the aggregation of particles in three dimensions according to the model introduced by Witten and Sander. We find a Hausdorff dimension of 2.39±{}0.18 by examination of the density-density correlation function. We show that random electrical charges added to the aggregating particles change short-range properties of aggregates but the long-range behavior is unchanged. These results disagree with the observed properties of real aggregates such as soot and metallic smokes.
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Sander et al. (1983) studied this question.
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