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From the Plateau problem to periodic minimal surfaces in lipids, surfactants and diblock copolymers

W. T. Gozdz·R. Holyst
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Abstract

We present the novel method for generation of periodic surfaces based on the simple Landau-Ginzburg model of microemulsion. We test the method on four minimal surfaces (P,D,G, and I-WP), find two new surfaces of cubic symmetry, show how to obtain periodic surfaces of high genus and n-tuply-continuous phases. We point that the Landau model used here should be generic for all systems characterized by internal interfaces, including the diblock copolymer systems.

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W. T. Gozdz, R. Holyst. 1996-04-01. From the Plateau problem to periodic minimal surfaces in lipids, surfactants and diblock copolymers. https://doi.org/10.1002/mats.1996.040050212

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