Relationships between the phase behavior of lattice models of amphiphile mixtures and Griffiths’s three-component model

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Abstract
We describe various phase equilibrium patterns occurring in multicomponent fluid model mixtures where several amphiphilic species are present. The characterization is based on the existing correspondence of states between the Furman, Dattagupta, and Griffiths (FDG) mixture of three components and a (mean-field) natural extension of the Wheeler-Widom model of bifunctional molecules. The shield region and the multicritical points appearing in the FDG and in the van der Waals binary-fluid models are reproduced in the mixture of amphiphiles through manipulations of composition. The diagrams obtained exhibit three- and four-phase equilibria associated with bulk liquids with structures analogous to those in mixed-micellar and bicontinuous middle-phase microemulsions.

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