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25 April 2024

» arxiv » cond-mat/0501098

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Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model
Nigel Goldenfeld ; Badrinarayan P. Athreya ; Jonathan A. Dantzig ;
Date:	6 Dec 2004
Subject:	Materials Science; Pattern Formation and Solitons \| cond-mat.mtrl-sci nlin.PS
Affiliation:	University of Illinois at Urbana-Champaign
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.
Source:	arXiv, cond-mat/0501098
Other source:	[GID 116247] pmid16196536
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