Calculation of the Effective Diffusion Coefficient in Inhomogeneous Solids

摘要

We discuss generalization of the standard Maxwell-Garnett equation for the effective diffusion coefficient in two-phase media (a matrix with spherical inclusions, modelling e.g. strongly defective solids). Correctness of a novel equation is demonstrated by means of computer simulations. This equation treats correctly partial trapping of a diffusing particle (defect) by an inclusion as well as an energy barrier for the particle penetration into an inclusion.