Renormalization group approach to multiscale simulation of   polycrystalline materials using the phase field crystal model
  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. 
Nigel Goldenfeld, Badrinarayan P. Athreya and Jonathan A. Dantzig   (University of Illinois at Urbana-Champaign)