It was noted that the mapping of a phenomenological diffusion problem onto a lattice permitted its treatment by lattice-based random walk theory and Monte Carlo methods. A review was presented here of the progress that had been made in using this method for treating the tracer diffusion that was associated with grain boundaries.

The Lattice Model for Addressing Phenomenological Diffusion Problems Associated with Grain Boundaries. G.E.Murch, I.V.Belova: Interface Science, 2003, 11[1], 91-7