Abstract
We report on non-mean-field and ring-kinetic-theory calculations of both the momentum autocorrelation function and the collective diffusion coefficient in a diffusive lattice gas automaton. For both quantities the ring approximation is calculated exactly. A saddle point method yields a leadingt −2 and a subleadingt −5/2 long-time tail in the momentum autocorrelation function. The ring kinetic corrections to the mean field value of the diffusion coefficient are in good agreement with computer simulations.
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van Roij, R.H., Ernst, M.H. Collective diffusion in a lattice gas automaton. J Stat Phys 73, 47–68 (1993). https://doi.org/10.1007/BF01052750
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DOI: https://doi.org/10.1007/BF01052750