We develop our recently proposed lattice-Boltzmann method for the nonequili
brium dynamics of amphiphilic fluids [H. Chen, B. M. Boghosian, P. V. Coven
ey, and M. Nekovee, Proc. R. Sec. London, Ser. A 456, 2043 (2000)]. Our met
hod maintains an orientational degree of freedom for the amphiphilic specie
s and models fluid interactions at a microscopic level by introducing self-
consistent mean-field forces between the particles into the lattice-Boltzma
nn dynamics, in a way that is consistent with kinetic theory. We present th
e results of extensive simulations in two dimensions which demonstrate the
ability of our model to capture the correct phenomenology of binary and ter
nary amphiphilic fluids.