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

Rapid Communication

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

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

Phys. Rev. E 72, 020601(R) – Published 18 August 2005

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.