  We develop our recently proposed lattice-Boltzmann method for the
non-equilibrium dynamics of amphiphilic fluids (Chen, Boghosian, Coveney and
Nekovee, Proc. Roy. Soc. London A, 456, 1431 (2000).) Our method maintains an
orientational degree of freedom for the amphiphilic species and models fluid
interactions at a microscopic level by introducing self-consistent mean-field
forces between the particles into the lattice-Boltzmann dynamics, in a way that
is consistent with kinetic theory. We present the results of extensive
simulations in two dimensions which demonstrate the ability of our model to
capture the correct phenomenology of binary and ternary amphiphilic fluids.
