Abstract
The complete time dependence of the stress-stress correlation functions in lattice gas cellular automata is calculated from the ring kinetic theory using numerical and analytical methods. This provides corrections, typically of 10–20%, to the usual molecular chaos calculations, where correlation functions decay exponentially. The resulting correlation function crosses over from an initial exponential decay to the long-time behavior calculated from mode coupling theory. The present theory, applied to the viscosity, accounts for a substantial part of the observed difference between the Boltzmann theory and simulations.
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van Velzen, G.A., Brito, R. & Ernst, M.H. Stress-stress correlation functions in lattice gases beyond Boltzmann's approximation. J Stat Phys 70, 811–832 (1993). https://doi.org/10.1007/BF01053596
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DOI: https://doi.org/10.1007/BF01053596