Modeling Admixture Diffusion in a Multicomponent Two-Phases Stohastically Nonhomogeneous Medium with Traps

Abstract

In the article the mathematical model of diffusion processes in multicomponent two phases stochastically non homogeneous medium with traps is proposed. The natural dimensionless form is introduced. The mathematical model is described in the form of the boundary value problem for the system of partial differential equations with stochastic coefficients. The analytical solutions of the model problem are constructed by integral transformations. Averaging the obtained solutions is carried out over the ensemble of phase configurations with the uniform distribution function. The calculation formulas for admixture concentration are arrived and the numeric analysis of the described model is provided.