Abstract
Phase diagrams and all three independent structure functions of oil, water, and amphiphile mixtures have been calculated from a three-component lattice model introduced previously. Both two- and three-dimensional systems were studied, by transfer-matrix methods and mean-field theory, respectively. With increasing amphiphile concentration, the phase diagram shows the commonly observed progression from three-phase coexistence through a microemulsion to two-phase coexistence with a lamellar phase. All three structure functions of the microemulsion are in qualitative agreement with experiment.

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