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Phys. Rev. E 72, 020601(R) (2005) [4 pages]

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

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Nigel Goldenfeld
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA

Badrinarayan P. Athreya and Jonathan A. Dantzig
Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign 1206 West Green Street, Urbana, Illinois 61801, USA

Received 6 January 2005; revised 14 June 2005; published 18 August 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.020601
DOI:
10.1103/PhysRevE.72.020601
PACS:
81.15.Aa, 81.16.Rf, 05.10.Cc, 61.72.Cc