Abstract

The influence of an external constant drift force on the tracer particle diffusion in a one-dimensional lattice gas is investigated analytically as well as numerically by Monte Carlo simulations, very good agreement being obtained between both independent approaches. The lattice gas model consists of particles of arbitrary concentration which interact only as repelling hard point cores. The particles can jump stochastically to unoccupied neighboring sites with different jump rates in and against the direction of the drift force, respectively. The calculation of the mean-square displacement of a tracer particle with respect to its average drift as a function of time (i.e. time-dependent dispersion) is performed by a direct extension of the method given in Ref. 1. The dispersion is shown to behave diffusively for large times, in contrast to the case where no external force is applied.

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