A LATTICE BOLTZMANN MODEL OF BINARY-FLUID MIXTURES

We introduce a lattice Boltzmann model for simulating an immiscible-bi nary-fluid mixture. Our collision rules are derived from a macroscopic thermodynamic description of the fluid in a way motivated by the Cahn -Hilliard approach to non-equilibrium dynamics and ensure that a therm odynamically consistent state is reached in equilibrium. The non-equil ibrium dynamics is investigated numerically and found to agree with si mple analytic predictions in both the one-phase and the two-phase regi on of the phase diagram.