Abstract
Abstract Particle-scatterer models with time-dependent collision rules in two-dimensional square and triangular lattices are studied. Very good agreement is seen between analytical and molecular dynamics results for the diffusion coefficient at all scatterer concentrations. The results differ significantly from the corresponding analysis for stochastic dynamics. In all square-lattice Lorentz models there is a spurious diffusion mode; its transport coefficient has the same value as the usual diffusion coefficient. The long-time tails with a high frequency modulation, (-1)t, observed in computer simulations, are explained in terms of this spurious mode.
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