Abstract
The authors investigate the properties of a model in which a particle moves on a square lattice with a fraction of the sites randomly occupied by stationary scatterers. Between two successive collisions with the scatterers, the particle performs random walk. The velocity autocorrelation function, measured by the computer moment propagation method, has an algebraic long-time tail although for some model parameters it decays very slowly at large time. They discuss the diffusion process in such a model calculating the diffusion coefficient in the Boltzmann and effective medium approximations. It is shown that correlated collisions play an important role in the description of diffusion for an intermediate density of scatterers.
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