Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model

Nigel Goldenfeld, Badrinarayan P. Athreya, Jonathan A. Dantzig

Research output: Contribution to journalArticle

Abstract

We propose a computationally efficient approach to multiscale simulation of polycrystalline materials, based on the phase field crystal 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.

Original languageEnglish (US)
Article number020601
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume72
Issue number2
DOIs
StatePublished - Aug 1 2005

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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