Influence of hydrodynamic interactions on the ballistic deposition of colloidal particles on solid surfaces

The ballistic deposition of particles by taking hydrodynamic interactions (HI) into account has been studied by means of computer simulations. The radial distribution function of the assembly of particles deposited on a plane has been determined as a function of the coverage and compared to experimental data. It appears that the introduction of HI in the model when compared to the ballistic model (BM) predictions leads to a better agreement between experiment and simulation in particular for the radial distribution function. HI also modify the value of the first non-vanishing term (B-3) in the expansion of the available surface function, Phi, in the coverage. One can estimate the ratio B-3(BHM)/B(3)(BM)similar to 0.5, where B-3(BHM) (resp. B-3(BM)) corresponds to simulations in which HI have been (resp. have not been) taken into account. The introduction of HI, however, leads to small changes in Phi. Finally, we conclude that, as far as average global quantities are concerned, the BM without HI constitutes a good approximation. It is only for the detailed analysis of the structure of the layer of deposited particles that HI play a significant quantitative role. (C) 1996 American Institute of Physics.