Migration of particles on heterogeneous bivariate lattices: The universal analytical expressions for the diffusion coefficients

Abstract

We have derived the analytical expressions for the diffusion coefficients describing the particle diffusion on different heterogeneous lattices. It occurs that these expressions can be used for description of the particle diffusion on the patchwise lattices. The coverage dependencies of the center-of-mass and Fickian diffusion coefficients obtained for some patchwise lattices by the Monte Carlo simulation can be perfectly fitted by these expressions. The good coincidence of the numerical data with the theoretical results demonstrates the applicability of the analytical expressions for the wide class of heterogeneous lattices.