Lattice gases in slab geometries

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Abstract
Non-mean-field-type excess correlations at short times are present in three-dimensional (3D) computer simulations of the velocity autocorrelation function, but absent in 1D, 2D, and 4D. They are caused by ring collisions in a quasi-3D slab of size 2×L×L×L in a face-centered-hypercubic lattice with periodic boundary conditions, which is the only available lattice-gas cellular automaton with 3D isotropic fluid flow. We evaluate this excess correlation. The simulation data agree very well with our exact result.