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Staggered diffusivities in lattice gas cellular automata

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Abstract

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.

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Author notes

  1. R. Brito

    Present address: Dpto. Física Aplicada I. Facultad Ciencias Físicas, Universidad Complutense, 28040, Madrid, Spain

Authors and Affiliations

  1. Institute for Theoretical Physics, University of Utrecht, P.O. Box 80.006, 3508, TA Utrecht, The Netherlands

    R. Brito & M. H. Ernst

  2. Institute for Physical Science and Technology and Department of Physics and Astronomy, University of Maryland, 20742, College Park, Maryland

    T. R. Kirkpatrick

Authors
  1. R. Brito
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  2. M. H. Ernst
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  3. T. R. Kirkpatrick
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Brito, R., Ernst, M.H. & Kirkpatrick, T.R. Staggered diffusivities in lattice gas cellular automata. J Stat Phys 62, 283–295 (1991). https://doi.org/10.1007/BF01020871

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  • DOI: https://doi.org/10.1007/BF01020871

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