Flocculation and percolation in reversible cluster-cluster aggregation |
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Authors: | S Babu M Rottereau T Nicolai J C Gimel D Durand |
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Institution: | 1. Polymères Collo?des Interfaces, UMR?6120 CNRS – Université du Maine, 72085, Le Mans Cedex 9, France
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Abstract: | Off-lattice dynamic Monte-Carlo simulations were done of reversible cluster-cluster aggregation for spheres that form rigid
bonds at contact. The equilibrium properties were found to be determined by the life time of encounters between two particles
(te). te is a function not only of the probability to form or break a bond, but also of the elementary step size of the Brownian motion
of the particles. In the flocculation regime the fractal dimension of the clusters is df=2.0 and the size distribution has a power law decay with exponent τ=1.5. At larger values of te transient gels are formed. Close to the
percolation threshold the clusters have a fractal dimension df=2.7 and the power law exponent of the size distribution is τ=2.1. The transition between flocculation and percolation
occurs at a characteristic weight average aggregation number that decreases with increasing volume fraction. |
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Keywords: | 05 10 Ln Monte Carlo methods (see also 02 70 Tt Uu in mathematical methods in physics for Monte Carlo methods in plasma simulation see 52 65 Pp) 82 70 Dd Colloids 82 70 Gg Gels and sols |
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