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Kinetics of deposition in the diffusion-controlled limit

Kinetics of deposition in the diffusion-controlled limit

The adsorption of particles diffusing in a half space bounded by the substrate and irreversibly sticking to the substrate upon contacts is investigated. We show that when absorbing particles are planar disks diffusing in the three-dimensional half space, the coverage approaches its saturated ``jamming'' value as ${t}^{\ensuremath{-}1}$ in the large …