Roughening transition and formation of bicontinuous structures of immiscible solvents embedded in surfactant diblock copolymers

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Abstract
The roughening transition of the interface in a model mixture of amphiphilic diblock copolymers, two immiscible solvents and a monomeric cosurfactant is examined. The equivalence of this model with the solid-on-solid Ising magnet implies the existence of a critical cosurfactant composition X RAB for the transformation of a lamellar microemulsion phase into a bicontinuous disordered structure. At a higher composition 1 - XRAB another transition of the same nature produces again an ordered phase