title: Amplitude expansion of the binary phase-field-crystal model.
abstract: Amplitude representations of a binary phase-field-crystal model are developed for a two-dimensional triangular lattice and three-dimensional bcc and fcc crystal structures. The relationship between these amplitude equations and the standard phase-field models for binary-alloy solidification with elasticity are derived, providing an explicit connection between phase-field-crystal and phase-field models. Sample simulations of solute migration at grain boundaries, eutectic solidification, and quantum dot formation on nanomembranes are also presented.
authors.affiliation: Department of Physics, Oakland University, Rochester, Michigan 48309, USA.
authors.forename: K R
authors.initials: KR
authors.lastname: Elder
authors.forename: Zhi-Feng
authors.initials: ZF
authors.lastname: Huang
authors.forename: Nikolas
authors.initials: N
authors.lastname: Provatas