Particles on curved surfaces - a dynamic approach by a phase field crystal model
arXiv:0910.3522 · doi:10.1103/PhysRevE.81.025701
Abstract
We present a dynamic model to study ordering of particles on arbitrary curved surfaces. Thereby the particles are represented as maxima in a density field and a surface partial differential equation for the density field is solved to the minimal energy configuration. We study annihilation of dislocations within the ordered sytem and premelting along grain boundary scars. The obtained minimal energy configurations on a sphere are compared with existing results and scaling laws are computed for the number of excess dislocations as a function of system size.
4 pages, 5 figures. Some typos corrected, small changes due to publishing restriction (figure colouring, lay out etc.)
References in corpus (13)
- Modeling Elasticity in Crystal Growth
- Colloidal Jamming at Interfaces: a Route to Fluid-bicontinuous Gels
- Grain Boundary Scars and Spherical Crystallography
- Virus shapes and buckling transitions in spherical shells
- Phase-field crystal study of grain-boundary premelting
- Derivation of the phase field crystal model for colloidal solidification
- Crystalline Order on a Sphere and the Generalized Thomson Problem
- Direct Visualization of Dislocation Dynamics in Grain Boundary Scars
- Melting at dislocations and grain boundaries: A Phase Field Crystal study
- Crystallography on Curved Surfaces
- Toroidal Crystals
- Dynamics and Instabilities of Defects in Two-Dimensional Crystals on Curved Backgrounds
- Scar-Driven Shape-Changes of Virus Capsids
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- Energetically favoured defects in dense packings of particles on spherical surfaces
- Development and Analysis of a Block-Preconditioner for the Phase-Field Crystal Equation
- Kibble-Zurek mechanism in curved elastic surface crystals
- Glassy dynamics of dense particle assemblies on a spherical substrate
- Relaxation of curvature induced elastic stress by the Asaro-Tiller-Grinfeld instability
- A Simulation Algorithm for Brownian Dynamics on Complex Curved Surfaces
- Effects of local curvature on epithelia tissue -- coordinated rotational movement and other spatiotemporal arrangements
- Charged particles constrained to a curved surface
- Substrate curvature governs texture orientation in thin films of smectic block copolymers
- Active smectics on a sphere
- Mesoscale modeling of deformations and defects in thin crystalline sheets