Breakdown of the Boltzmann equation in cellular-automata lattice gases
M. H. Ernst, G A van Velzen, Philippe M. Binder · Physical Review A · 1989
In lattice gases the Boltzmann equation is not valid at low densities, if the collision rules admit reflections of unlike particles because of long-lived correlated ring-type collisions. This is shown for a simple mixture, a Lorentz gas, by comparing theoretical and molecular dynamics results for the diffusion coefficient.