“Linear diffusion domain” approach for modeling the kinetics of electrodeposition: a two-dimensional study

A study is presented on diffusion-controlled growth of multi-nuclei systems in 2D space. The effect of correlation among diffusion fields on growth law of nuclei is investigated by means of numerical computations. The outputs of these simulations are employed to test the validity of the analytical approach based on the concept of linear diffusion domain. Both growth law of single nucleus and the total rate of film growth have been investigated by taking into account the finite-size effect of nuclei on the size probability density of the Voronoi cells. It is shown that the linear-diffusion-domain approach provides a satisfactory description of such an involved process. The application of the Voronoi cell approach is extended to a 3D system and makes it possible to determine the kinetics of nucleus growth as a function of cell size.