title: Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model.
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.
authors.affiliation: Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA.
authors.forename: Nigel
authors.initials: N
authors.lastname: Goldenfeld
authors.forename: Badrinarayan P
authors.initials: BP
authors.lastname: Athreya
authors.forename: Jonathan A
authors.initials: JA
authors.lastname: Dantzig