  A lattice-Boltzmann model for the study of the dynamics of
oil-water-surfactant mixtures is constructed. The model, which is based on a
Ginzburg-Landau theory of amphiphilic systems with a single, scalar order
parameter, is then used to calculate the spectrum of undulation modes of an
oil-water interface and the spontaneous emulsification of oil and water after a
quench from two-phase coexistence into the lamellar phase. A comparison with
some analytical results shows that the model provides an accurate description
of the static and dynamic behavior of amphiphilic systems.
