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Amplitude expansion of the binary phase-field-crystal model
K R Elder1, Zhi-Feng Huang, Nikolas Provatas
1Department of Physics, Oakland University, Rochester, Michigan 48309, USA.
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.
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