Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model
Materials Science
2009-11-11 v2 Pattern Formation and Solitons
Abstract
We propose a computationally-efficient approach to multiscale simulation of polycrystalline materials, based on the phase field crystal (PFC) model. The order parameter describing the density profile at the nanoscale is reconstructed from its slowly-varying amplitude and phase, which satisfy rotationally-covariant equations derivable from the renormalization group. We validate the approach using the example of two-dimensional grain nucleation and growth.
Keywords
Cite
@article{arxiv.cond-mat/0501098,
title = {Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model},
author = {Nigel Goldenfeld and Badrinarayan P. Athreya and Jonathan A. Dantzig},
journal= {arXiv preprint arXiv:cond-mat/0501098},
year = {2009}
}
Comments
New material added with quantitative comparisons of grain boundary energies and demonstrations of computational efficiency