Smectic Liquid Crystals: Materials with One-Dimensional, Periodic Order
arXiv:math/0601494 · doi:10.1007/s10711-006-9075-y
Abstract
Smectic 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.
16 pages
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Cited by in corpus (7)
- Mathematics and liquid crystals
- Nonlinear smectic elasticity of a helical state in cholesterics and helimagnets
- The Topology of Dislocations in Smectic Liquid Crystals
- Complex-tensor theory of simple smectics
- Helicoids and vortices
- Compactness and sharp lower bound for a 2D smectics model
- Smectic Pores and Defect Cores