Propagating staggered waves in cellular automata fluids

The majority of lattice gases have, apart from the physical conserved quantities of particle number, momentum and energy, spurious ones, usually staggered in space and time. At the level of linear excitations these staggered modes may be purely diffusive or damped propagating waves. In the eight- and nine-bit model on the square lattice one finds a large number of new spurious modes and the authors derive Green-Kubo relations for the diffusivities and damping constants and calculate them in the Boltzmann approximation.