Abstract
A lattice gas automaton lacks Galilei invariance, and equilibria of systems moving with a finite speed mod u mod are not simply related by a Galilei transformation to the equilibrium distribution in the rest frame. In the hydrodynamic description of low speed equilibria in lattice gas automata a factor G(p) appears in the nonlinear convective term, Delta . G(p)puu, of the Navier-Stokes equation, that differs from unity due to lack of Galilei invariance. For this non-Galilean factor an expression in terms of fluctuating quantities is derived, a grand ensemble where the total momentum is fluctuating around a zero average. The formula is valid as long as there exists a unique equilibrium state. Consequently, the results can also be used for a direct simulation of G(p) in lattice gas models where the explicit form of the equilibrium distribution is not known, such as in models that violated semi-detailed balance.
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