Journal of Statistical Physics

, Volume 62, Issue 1–2, pp 283–295 | Cite as

Staggered diffusivities in lattice gas cellular automata

  • R. Brito
  • M. H. Ernst
  • T. R. Kirkpatrick


The majority of LGCAs has spurious conservation laws, the so-called staggered invariants, first discovered by Kadanoff, McNamara, and Zanetti. Consequently there are additional hydrodynamic modes of diffusive type, which modify mode coupling theories and the nonlinear fluid dynamic equations. The diffusivities of these staggered modes are evaluated in the mean field approximation for LGCAs on triangular lattices, starting from the Green-Kubo formulas for the staggered diffusivities.

Key words

Staggered invariants lattice gas cellular automata CA-fluids staggered diffusivities Green-Kubo relations 


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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • R. Brito
    • 1
  • M. H. Ernst
    • 1
  • T. R. Kirkpatrick
    • 2
  1. 1.Institute for Theoretical PhysicsUniversity of UtrechtTA UtrechtThe Netherlands
  2. 2.Institute for Physical Science and Technology and Department of Physics and AstronomyUniversity of MarylandCollege Park

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