The Sol-Gel Process Simulated by Cluster-Cluster Aggregation

Details The Sol-Gel Process Simulated by Cluster-Cluster Aggregation The Sol-Gel Process Simulated by Cluster-Cluster Aggregation

1995-04-11

arxiv.org/abs/cond-mat/9504044v1

Physics

Condensed Matter

RevTex, 13 pages + 9 postscript figures appended using "uufiles". To appear in J. of Non-Cryst. Solids

Scientific paper

10.1016/0022-3093(95)00079-8

The pair-correlation function $g(r,t)$ and its Fourier transform, the structure factor $S(q,t)$, are computed during the gelation process of identical spherical particles using the diffusion-limited cluster-cluster aggregation model in a box. This numerical analysis shows that the time evolution of the characteristic cluster size $\xi$ exhibits a crossover close to the gel time $t_g$ which depends on the volumic fraction $c$. In this model $t_g$ tends to infinity when the box size $L$ tends to infinity. For systems of finite size, it is shown numerically that, when $t

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