Particle motion in a mixed dynamic alloy: Binary system in one dimension

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Abstract
The long-time dynamics of labeled particle motion in a mixed, random dynamic binary alloy composed of a minimally interacting lattice gas are investigated by the use of precision Monte Carlo simulations. For the mean-square displacement, the results corroborate the theoretical predictions of Tahir-Kheli. With the use of scaling arguments, the theoretical expressions given by Levitt for a single-component system are generalized to a multicomponent format. The predictions of such a scaling procedure for the long-time limit of the space- and time-dependent distribution function are tested in detail against the corresponding Monte Carlo results. Again, very good overall agreement is found between the two sets of results.