Tracer diffusion on two coupled lines: The long-time tail of the velocity autocorrelation function compared to the mode-coupling prediction

Abstract

Mode-coupling predictions for the long-time behavior of the mean-square displacement of tracer particle diffusion in a quasi-one-dimensional lattice-gas model are compared with the results of Monte Carlo simulations. Furthermore, the internal consistency of an approximate theory is investigated under the assumption that mode-coupling theory is valid.