Smectic Liquid Crystals: Materials with One-Dimensional, Periodic Order

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dc.creatorKamien, Randall D.
dc.creatorSantangelo, Christian D.
dc.date2006-01-20
dc.date.accessioned2026-07-07T06:59:07Z
dc.date.available2026-07-07T06:59:07Z
dc.descriptionSmectic liquid crystals are materials formed by stacking deformable, fluid layers. Though smectics prefer to have flat, uniformly-spaced layers, boundary conditions can impose curvature on the layers. Since the layer spacing and curvature are intertwined, the problem of finding minimal configurations for the layers becomes highly nontrivial. We discuss various topological and geometrical aspects of these materials and present recent progress on finding some exact layer configurations. We also exhibit connections to the study of certain embedded minimal surfaces and briefly summarize some important open problems.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0601494
dc.identifierhttp://arxiv.org/abs/math/0601494
dc.identifierGeometriae Dedicata 120 (2006) 229
dc.identifierdoi:10.1007/s10711-006-9075-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107630
dc.subjectDifferential Geometry
dc.subjectSoft Condensed Matter
dc.subjectMathematical Physics
dc.titleSmectic Liquid Crystals: Materials with One-Dimensional, Periodic Order
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