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

TL;DR

This paper introduces a multiscale simulation method for polycrystalline materials using the phase field crystal model, employing renormalization group techniques to efficiently connect nanoscale density profiles with larger-scale behaviors.

Contribution

It presents a novel renormalization group-based approach to reconstruct nanoscale density profiles from slowly-varying amplitudes for multiscale modeling.

Findings

Validated with 2D grain nucleation and growth simulations

Demonstrated computational efficiency over traditional methods

Successfully linked nanoscale and macroscale behaviors

Abstract

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.