Establishment of a Kinetics Model

Abstract

In this chapter [1], a kinetics model for pore channel growth in anodic porous alumina during anodization is established based on the Laplacian electric potential distribution within the oxide and a continuity equation for current density within the oxide body. Both oxygen and aluminum ion current densities governed by the Cabrera-Mott equation in high electric field theory are formed by ion migration within the oxide as well as across the oxide/electrolyte (o/e) and metal/oxide (m/o) interfaces. In contrast with previous well-known oxide flow models as introduced in Chap. 1, in the present model, the movements of the o/e and m/o interfaces due to electric field-assisted oxide decomposition and metal oxidation, respectively, are governed by Faraday's law. This model can be numerically implemented by a finite element method in order to simulate the real-time evolution of the porous structure growth, which will be shown in Chap. 3.