From the Plateau problem to periodic minimal surfaces in lipids, surfactants and diblock copolymers
arXiv:cond-mat/9604003 · doi:10.1002/mats.1996.040050212
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.
arXiv comment15 pages, Plain TeX , figures available on request or at http://saka.ichf.edu.pl/WTGRH/surfaces.html