Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1996
Numerical simulations of Diffusion-Limited and Reaction-Limited Cluster-Cluster Aggregation proce... more Numerical simulations of Diffusion-Limited and Reaction-Limited Cluster-Cluster Aggregation processes of identical particles are performed in a twodimensional 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 < L c). L c vanishes when increasing c, and, at a critical concentration value c p (where L c → 0) the entire spanning cluster scales as the percolating cluster obtained by standard percolation. Even if for c > 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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Papers by Anwar Hasmy