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Percolation in Cluster-Cluster Aggregation Processes

Anwar Hasmy·Rémi Jullien
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Abstract

Numerical simulations of Diffusion-Limited and Reaction-Limited Cluster-Cluster Aggregation processes of identical particles are performed in a two-dimensional box. It is shown that, for concentrations larger than a characteristic gel concentration, the morphology of the resulting spanning cluster at the gel time $t_g$ exhibits a crossover length $L_c$ between percolation ($l>L_c$) and aggregation ($l c_p$ the long-range correlations are similar to that of percolation, the vanishing links in the structure suggest that an homogeneous regime appears at small scales.

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Anwar Hasmy, Rémi Jullien. 1995-04-12. Percolation in Cluster-Cluster Aggregation Processes. https://doi.org/10.1103/physreve.53.1789

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