Strong-Segregation Theory of Bicontinuous Phases in Block Copolymers

Abstract

We compute phase diagrams for AnBm starblock copolymers in the strong-segregation regime as a function of volume fraction φ, including bicontinuous phases related to minimal surfaces (G, D, and P surfaces) as candidate structures. We present the details of a general method to compute free energies in the strong segregation limit, and demonstrate that the gyroid G phase is the most nearly stable among the bicontinuous phases considered. We explore some effects of conformational asymmetry on the topology of the phase diagram.

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