Thermally activated diffusion along one-dimensional chains with energetic disorder: analysis of computer simulation data

Recent results on the computer simulations of thermally activated diffusion along one-dimensional chains with energetic disorder are analyzed theoretically. The analysis has enabled us to assign the numerical data to the particular stage of the diffusion process and to approximate the temporal behavior of the mean-square displacement during this stage by a simple analytical expression. Our results suggest a universal time-dependence of the relative diffusion coefficient at very low temperatures and provide the explicit form of this dependence for a wide class of distributions used for the description of energetic disorder.