Particles on curved surfaces - a dynamic approach by a phase field crystal model
Materials Science
2010-03-02 v2
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.
Cite
@article{arxiv.0910.3522,
title = {Particles on curved surfaces - a dynamic approach by a phase field crystal model},
author = {Rainer Backofen and Axel Voigt and Thomas Witkowski},
journal= {arXiv preprint arXiv:0910.3522},
year = {2010}
}
Comments
4 pages, 5 figures. Some typos corrected, small changes due to publishing restriction (figure colouring, lay out etc.)