Bubble Raft Model for a Paraboloidal Crystal
arXiv:0709.2731 · doi:10.1103/PhysRevE.77.021602
Abstract
We investigate crystalline order on a two-dimensional paraboloid of revolution by assembling a single layer of millimeter-sized soap bubbles on the surface of a rotating liquid, thus extending the classic work of Bragg and Nye on planar soap bubble rafts. Topological constraints require crystalline configurations to contain a certain minimum number of topological defects such as disclinations or grain boundary scars whose structure is analyzed as a function of the aspect ratio of the paraboloid. We find the defect structure to agree with theoretical predictions and propose a mechanism for scar nucleation in the presence of large Gaussian curvature.
4 pages, 4 figures
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- Crystalline Particle Packings on Constant Mean Curvature (Delaunay) Surfaces
- Crystalline Order on Catenoidal Capillary Bridges
- Dynamic Phases, Clustering, and Lane Formation for Driven Disk Systems in the Presence of Quenched Disorder
- Geometric Theory of Mechanical Screening in two-dimensional solids
- Dislocation screening in crystals with spherical topology
- Effects of scars on crystalline shell stability under external pressure
- Predicting the Characteristics of Defect Transitions on Curved Surfaces
- Statistical Mechanics of Dislocation Pileups in Two Dimensions