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Analytical approach for collective diffusion: one-dimensional homogeneous lattice.

Diffusion of particles adsorbed on the homogeneous one-dimensional chain was investigated using a theoretical approach and kinetic Monte Carlo simulations. The concentration dependencies of the center-of-mass and Fickian diffusion coefficients have been calculated for some representative values of lateral interactions between adsorbed particles. The analytical dependencies have been compared with the numerical data. The perfect coincidence of the data obtained by the two quite different methods clearly demonstrates that the analytical expressions for the diffusion coefficients derived in the framework of the approach based on the non-equilibrium statistical operator exactly describe the particle migration in the lattice gas systems.