Amplitude expansion of the binary phase field crystal model
Materials Science
2015-05-14 v1
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 nano-membranes are also presented.
Keywords
Cite
@article{arxiv.0910.0714,
title = {Amplitude expansion of the binary phase field crystal model},
author = {K. R. Elder and Zhi-Feng Huang and Nikolas Provatas},
journal= {arXiv preprint arXiv:0910.0714},
year = {2015}
}
Comments
11 pages, 8 figures