title: Particles on curved surfaces: a dynamic approach by a phase-field-crystal model.
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 system 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.
authors.affiliation: Department of Mathematics, Technische Universität Dresden, 01062 Dresden, Germany. rainer.backofen@tu-dresden.de
authors.forename: Rainer
authors.initials: R
authors.lastname: Backofen
authors.forename: Axel
authors.initials: A
authors.lastname: Voigt
authors.forename: Thomas
authors.initials: T
authors.lastname: Witkowski