Abstract
We study the behavior of a Frisch-Hasslacher-Pomeau lattice gas automaton under the effect of a spatially periodic forcing. It is shown that the lattice gas dynamics reproduces the steady-state features of the bifurcation pattern predicted by a properly truncated model of the Navier-Stokes equations. In addition, we show that the dynamical evolution of the instabilities driving the bifurcation can be modeled by supplementing the truncated Navier-Stokes equation with a random force chosen on the basis of the automaton noise.
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Benzi, R., Succi, S. Bifurcations of a lattice gas flow under external forcing. J Stat Phys 56, 69–81 (1989). https://doi.org/10.1007/BF01044232
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DOI: https://doi.org/10.1007/BF01044232