Diffusion of particles on the patchwise bivariate surfaces

The diffusion of particles adsorbed on patchwise surfaces is investigated in the framework of a lattice-gas model. We propose the analytical expressions for the center-of-mass and Fickian diffusion coefficients. The theoretical dependencies are compared with the numerical data obtained by the kinetic Monte Carlo simulations for three different patchwise lattices. The good coincidence of the theoretical dependencies and the numerical data corroborates the validity of the approach developed to describe the particle migration on such lattices.