Numerical Simulations of Sintering, Application to Partially Densified Aerogels

Following recent scaling theories, the sintering of silica aerogels in modeled starting from computer generated gel structures obtained by diffusion-limited cluster-cluster aggregation on a cubic lattice. Two steps compose the sintering process model: a dressing step in which all particles are replaced by overlapping larger particles and a contraction step in which an adequate length rescaling is performed in order to conserve the total mass. Several quantities are computed during sintering as a function of the aerogel density such as the two characteristic cut-off lengths (lower and upper limits of the fractal regime) and the specific interface area. Comparison is made with results of similar off-lattice calculations when available. Some of the numerical results are compared with experiments on partially densified base-catalysed aerogels.