A lattice-Boltzmann model for the study of the dynamics of oil-water-s
urfactant mixtures is constructed. The model, which is based on a Ginz
burg-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 an
d water after a quench from two-phase coexistence into the lamellar ph
ase. A comparison with some analytical results shows that the model pr
ovides an accurate description of the static and dynamic behavior of a
mphiphilic systems.