A multiparticle lattice-gas model for hydrodynamics

Cellular automata (CA) and lattice-Boltzmann (LB) models are two possible a pproaches to simulate fluid-like systems. CA models keep track of the many- body correlations and provide a description of the fluctuations. However, t hey lead to a noisy dynamics and impose strong restrictions on the possible viscosity values. On the other hand, LB models are numerically more effici ent and offer much more flexibility to adjust the fluid parameters, but the y neglect fluctuations. Here we discuss a multiparticle lattice model which reconciles both approaches. Our method is tested on Poiseuille flows and o n the problem of ballistic annihilation in two dimensions for which the flu ctuations are known to play an important role.