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The model of cluster growth by diffusion-limited aggregation of clusters is studied in two dimensions and the cluster size distribution nₒ (t) is determined as a function of the cluster size s and the time t. A dynamic scaling function of the form nₒ (t) t^-ws^-f (s{t^z}) is proposed and is shown to lead to the scaling relation w= (2-) z among the critical exponents. The simulation results support this scaling law.
Vicsek et al. (Mon,) studied this question.
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