Bridging the phase-field and phase-field crystal approaches for anisotropic material systems
J. Kundin, M. A. Choudhary, H. Emmerich.
The European Physical Journal Special Topics, 223, 363–372, (2014)
In this paper the amplitude representation of the anisotropic phase-field crystal (APFC) model recently proposed as a generalized model for isotropic as well as anisotropic crystal lattice systems is developed. The relationship between the amplitude equations and the standard phase-field model for solidification of pure substances with elasticity effects is derived which provide an explicit connection between the phase-field and APFC models. On the one hand we present a computationally more efficient model and highlight its potential as a bridge between the PFC and phase-field models with anisotropic interface energies and kinetics on the other hand.