Modeling of metal electrodeposition in the pores of anodic aluminum oxide

The pore filling process in the metal electrodeposition in the anodic aluminum oxide pores under the potentiostatic conditions is studied theoretically. The model takes into consideration the transfer of metal cations inside the pores and in the outer diffusion layer. The thickness of outer diffusion layer is determined by the hydrodynamic conditions. The kinetics of metal electrodeposition is described by the equation of mixed kinetics at large deviations from the equilibrium. In the quasi-steady-state approximation, the problem for the pores of different initial lengths, which are characterized by the normal distribution law, is solved analytically. The results are compared with the data obtained by the numerical method.