Crystalline Order on Catenoidal Capillary Bridges

Abstract

We study the defect structure of crystalline particle arrays on negative Gaussian curvature capillary bridges with vanishing mean curvature (catenoids). The threshold aspect ratio for the appearance of isolated disclinations is found and the optimal positions for dislocations determined. We also discuss the transition from isolated disclinations to scars as particle number and aspect ratio are varied.

6 pages, 6 figures

References in corpus (9)

• Two-Dimensional Matter: Order, Curvature and Defects
• Crystallography on Curved Surfaces
• Crystalline Order On Riemannian Manifolds With Variable Gaussian Curvature And Boundary
• Hard Discs on the Hyperbolic Plane
• Toroidal Crystals
• Bubble Raft Model for a Paraboloidal Crystal
• Elastic Theory of Defects in Toroidal Crystals
• Geometrical Frustration in Two Dimensions: Idealizations and Realizations of a Hard Disc Fluid in Negative Curvature
• Structure and dynamics of topological defects in a glassy liquid on a negatively curved manifold

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• Topological vacancies in spherical crystal clusters
• Electrostatic repulsion-driven crystallization model arising from filament networks
• Planar and curved droplet networks