Simulation of Ion Transfer During Electrochemical Shaping by Ultrashort Pulses

In the work, an efficient model of the transfer processes in the electrochemical systems was developed for the case that ultrashort current pulses were imposed. The Nernst–Planck equations with the electroneutrality condition were used for calculating the transfer processes in the diffusion layer, and the equilibrium Boltzmann distribution of ions was assumed in the diffuse layer. This provided a high efficiency of the model. The simulation involved the numerical solution of the Nernst–Planck equations for the diffusion layer and the Poisson’s equation for the diffuse layer. Thus, obtained solutions were conjugated in accordance with all boundary conditions. The time dependences of the electrode potential were obtained for the anodic and cathodic processes. The regions, which corresponded to different scales of time and characterized the charging of bulk electrolyte solution, the charging of electrical double layer, and the transfer processes in the diffusion layer, were observed in these dependences. The specific features of transfer processes under the imposition of ultrashort current pulse (a pulse time of the order of tens of nanoseconds) were studied.