Particles on curved surfaces - a dynamic approach by a phase field crystal model

Details Particles on curved surfaces - a dynamic approach by a phase field crystal model Particles on curved surfaces - a dynamic approach by a phase field crystal model

2009-10-19

arxiv.org/abs/0910.3522v2

Phys. Rev. E 81, 025701(R) (2010)

Physics

Condensed Matter

Materials Science

4 pages, 5 figures. Some typos corrected, small changes due to publishing restriction (figure colouring, lay out etc.)

Scientific paper

10.1103/PhysRevE.81.025701

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.

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