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Lattice gas with “interaction potential”

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Abstract

We present an extension of a simple automaton model to incorporate nonlocal interactions extending over a spatial range in lattice gases. From the viewpoint of statistical mechanics, the lattice gas with interaction range may serve as a prototype for non-ideal-gas behavior. From the density fluctuations correlation function, we obtain a quantity which is identified as a potential of mean force. Equilibrium and transport properties are computed theoretically and by numerical simulations to establish the validity of the model at macroscropic scale.

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Authors and Affiliations

  1. Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, B-1050, Brussels, Belgium

    Olivier Tribel & Jean Pierre Boon

Authors
  1. Olivier Tribel
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  2. Jean Pierre Boon
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Tribel, O., Boon, J.P. Lattice gas with “interaction potential”. J Stat Phys 81, 361–377 (1995). https://doi.org/10.1007/BF02179984

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  • DOI: https://doi.org/10.1007/BF02179984

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