Spontaneous fluctuation correlations in thermal lattice-gas automata

We construct a 19-bit lattice-gas model which is shown to exhibit spontaneous fluctuation correlations as produced in a thermal fluid system. Thus the lattice gas can be considered---in the same sense as a real fluid---as a reservoir of excitations with wavelengths and frequencies ranging from the microscopic level to the hydrodynamic scale. In particular the dynamic structure factor obtained from lattice-gas simulations is in agreement with the classical Rayleigh-Brillouin spectrum of real fluids.