Amplitude expansion of the binary phase-field-crystal model.
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.
Elder
K R
KR
Department of Physics, Oakland University, Rochester, Michigan 48309, USA.
Huang
Zhi-Feng
ZF
Provatas
Nikolas
N