Percolation in Cluster-Cluster Aggregation Processes

Physics – Condensed Matter

Scientific paper

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RevTex, 5 pages + 7 postscript figures, compressed using "uufiles"

Scientific paper

10.1103/PhysRevE.53.1789

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 ($lc_p$ 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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