Amplitude expansion of the binary phase field crystal model

Details Amplitude expansion of the binary phase field crystal model Amplitude expansion of the binary phase field crystal model

2009-10-05

arxiv.org/abs/0910.0714v1

Physics

Condensed Matter

Materials Science

11 pages, 8 figures

Scientific paper

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 nano-membranes are also presented.

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