Journal of Statistical Physics

, Volume 80, Issue 3–4, pp 565–578 | Cite as

Velocity autocorrelation function in lattice gases from the ring kinetic theory. Comparison with numerical simulations

  • R. Brito
  • G. A. van Velzen
Articles

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.

Key Words

Lattice gas automata velocity autocorrelation function diffusion coefficient ring collisions 

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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • R. Brito
    • 1
  • G. A. van Velzen
    • 2
  1. 1.Institute for Theoretical PhysicsUniversity of UtrechtUtrechtThe Netherlands
  2. 2.Physical Planning DivisionGrontmij Consulting EngineersDe BiltThe Netherlands

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