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Negative-viscosity lattice gases

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Abstract

A new irreversible collision rule is introduced for lattice-gas automata. The rule maximizes the flux of momentum in the direction of the local momentum gradient, yielding a negative shear viscosity. Numerical results in 2D show that the negative viscosity leads to the spontaneous ordering of the velocity field, with vorticity resolvable down to one lattice-link length. The new rule may be used in conjunction with previously proposed collision rules to yield a positive shear viscosity lower than the previous rules provide. In particular, Poiseuille flow tests demonstrate a decrease in viscosity by more than a factor of 2.

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Authors and Affiliations

  1. Department of Earth, Atmospheric, and Planetary Sciences, Massachusetts Institute of Technology, 02139, Cambridge, Massachusetts

    Daniel H. Rothman

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  1. Daniel H. Rothman
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Rothman, D.H. Negative-viscosity lattice gases. J Stat Phys 56, 517–524 (1989). https://doi.org/10.1007/BF01044449

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  • DOI: https://doi.org/10.1007/BF01044449

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