57,466 research outputs found
On structures in hypergraphs of models of a theory
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
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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