A microscopic theory of amphiphilic systems is reviewed. It takes the form of a simple lattice model of three components in which one has an amphiphilic interaction with the other two. Results for the phase diagram, the scattering behavior, and the interfacial properties of the system are in...

The unusual gyroid phase is described in three different amphiphilic systems. The way in which its existence can be understood in terms of surfaces of constant mean curvature is reviewed, as is the manner in which it can actually be accounted for by standard models of diblock copolymers solved...