Velocity autocorrelation function in lattice gases from the ring kinetic theory. Comparison with numerical simulations |
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| Authors: | R Brito G A van Velzen |
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| Institution: | (1) Institute for Theoretical Physics, University of Utrecht, P.O.B. 80006, 3508 TA Utrecht, The Netherlands;(2) Present address: Facultad de Ciencias Físicas, Universidad Complutense de Madrid, 28040 Madrid, Spain;(3) Physical Planning Division, Grontmij Consulting Engineers, P.O.B. 203, 3730 AE De Bilt, The Netherlands |
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| Abstract: | We obtain the complete time dependence of the velocity autocorrelation function (VACF) for lattice gas cellular automata, usingring kinetic theory. This theory accounts for the simplest correlated collisions that improve on the molecular chaos approach, and yields a closed equation for the VACF that we evaluate for both infinite and finite systems. We compare our analytical results with numerical simulations at all times, as well as with long-time results of the mode coupling theories, finding a very good agreement for all times at all densities. |
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| Keywords: | Lattice gas automata velocity autocorrelation function diffusion coefficient ring collisions |
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