Stress-stress correlation functions in lattice gases beyond Boltzmann's approximation |
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Authors: | G. A. van Velzen R. Brito M. H. Ernst |
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Affiliation: | (1) Utrecht Biophysics Research Institute, University of Utrecht, P.O.B. 80000, 3508 TA Utrecht, The Netherlands;(2) Institute for Theoretical Physics, University of Utrecht, P.O.B. 80006, 3508 TA Utrecht, The Netherlands;(3) Present address: Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain |
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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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Keywords: | Stress correlation functions lattice gas cellular automata ring collisions transport coefficients long-time tails |
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