Lattice phase field model for nanomaterials

Abstract

The lattice phase field model is developed to simulate microstructures of nanoscale ma-terials. The grid spacing in simulation is rescaled and restricted to the lattice parameter of real materials. Two possible approaches are used to solve the phase field equations at the length scale of lattice parameter. Examples for lattice phase field modeling of complex nanostructures are pre-sented to demonstrate the potential and capability of this model, including ferroelectric superlattice structure, ferromagnetic composites, and the grain growth process under stress. Advantages, dis-advantages, and future directions with this phase field model are discussed briefly.