On the density correlation of the spontaneous fluctuation in a real-coded lattice gas

We investigate the spontaneous fluctuation in a real-coded lattice gas (RLG) model by studying the density correlation function. In particular, the dynamic structure factor obtained from RLG is in agreement with the Rayleigh-Brillouin spectrum, a spectrum which can also be measured from a real fluid at the continuum limit. We also work out the analytic form of the static structure factor for the RLG model, which is supported by the numerical results.