Abstract
We consider the problem of the universality and general structure of the scale invariant dynamics in Laplacian fractal growth models. In particular, we show that growth having sticking probability not equal to one is renormalized asymptotically into effective growth rules with unit sticking probability (standard growth rule). This result shows why this modified model belongs to the same universality class as the standard DLA, and contributes to clarifying the asymptotic form of the scale invariant growth rule. These conclusions about the universality classes can also be extended to reaction-limited cluster-cluster aggregation.
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