Tagged particle properties, such as the diffusion coefficients and velocity autocorrelation function are calculated in the mean-field approximation for all standard lattice gas cellular automata defined on (hyper) cubic, square and triangular lattices and on a line. Tagged particle dynamics is introduced through maximally random or minimally random collision rules. For a completely filled lattice the former reduces to a random walk, the latter to ballistic motion.
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Ernst et al. (1991) studied this question.
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