57,446 research outputs found

    On structures in hypergraphs of models of a theory

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    We define and study structural properties of hypergraphs of models of a theory including lattice ones. Characterizations for the lattice properties of hypergraphs of models of a theory, as well as for structures on sets of isomorphism types of models of a theory, are given

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

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    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.Comment: 15 pages, Plain TeX , figures available on request or at http://saka.ichf.edu.pl/WTGRH/surfaces.htm
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