Monte Carlo simulation of particle aggregation and gelation: I. Growth, structure and size distribution of the clusters
Polyméres Colloïdes Interfaces, UMR CNRS, Université du Maine, F-72085, Le Mans cedex 9, France
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Lattice and off-lattice Monte Carlo simulations of diffusion-limited cluster aggregation and gelation were done over a broad range of concentrations. The large-scale structure and the size distribution of the clusters are characterized by a crossover at a characteristic size (). For , they are the same as obtained in a dilute DLCA process and for they are the same as obtained in a static percolation process. is determined by the overlap of the clusters and decreases with increasing particle concentration. The growth rate of large clusters is a universal function of time reduced by the gel time. The large-scale structural and temporal properties are the same for lattice and off-lattice simulations. The average degree of connectivity per particle in the gels formed in off-lattice simulations is independent of the concentration, but its distribution depends on the concentration.
© EDP Sciences, Società Italiana di Fisica, and Springer-Verlag, 2004