Developed Smectics: When Exact Solutions Agree
arXiv:1110.4289 · doi:10.1103/PhysRevLett.108.047802
Abstract
In the limit where the bending modulus vanishes, we construct layer configurations with arbitrary dislocation textures by exploiting a connection between uniformly-spaced layers in two dimensions and developable surfaces in three dimensions. We then show how these focal textures can be used to construct layer configurations with finite bending modulus.
5 pages, 3 figures
References in corpus (6)
- Smectics: Symmetry Breaking, Singularities, and Surfaces
- Geometric Theory of Columnar Phases on Curved Substrates
- Extrinsic Curvature, Geometric Optics, and Lamellar Order on Curved Substrates
- BPS Configurations in Smectics
- The Power of Poincaré: Elucidating the Hidden Symmetries in Focal Conic Domains
- Nonlinear Effects in the TGB_A Phase
Cited by in corpus (5)
- Modeling Smectic Layers in Confined Geometries: Order Parameter and Defects
- Breaking the Rules for Topological Defects: Smectic Order on Conical Substrates
- Complex-tensor theory of simple smectics
- Smectic Layering: Landau theory for a complex-tensor order parameter
- Compactness and sharp lower bound for a 2D smectics model