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A driven system of three species of particles diffusing on a ring is studied in detail. The dynamics is local and conserves the three densities. A simple argument suggesting that the model should phase separate and break the translational symmetry is given. We show that for the special case where...
A lattice Boltzmann algorithm based on a volumetric representation is formulated for achieving properties consistent with the standard form at finer resolution. In contrast to pointwise interpolation schemes, this approach can be applied to arbitrary meshes without compromising exact conservation...