Dynamical properties of a diffusion-limited cluster - cluster aggregation model

In order to test the validity of the dynamical scaling arguments put forward by Alexander, Courtens and Vacher in 1993 without a specific model, we previously published results concerning percolation clusters (in 1995). In the present paper, for the first time, we have extended calculations to the diffusion-limited cluster aggregation (DLCA) model, in three dimensions (3D). There was excellent agreement with the theory, better than in the percolation case. The density of states and dynamic structure factor are calculated for the very large 3D DLCA model using the spectral moments method. The results are analysed in terms of scaling theory and compared to experimental results concerning silica aerogels.