Abstract
The lattice phase field model is developed to simulate microstructures of nanoscale materials. 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 presented to demonstrate the potential and capability of this model, including ferroelectric superlattice structure, ferromagnetic composites, and the grain growth process under stress. Advantages, disadvantages, and future directions with this phase field model are discussed briefly.
Highlights
The phase field equations are solved using the semiimplicit Fourier space method, and all the simulated microstructures at late stages of the evolution process are close to the equilibrium state
If Method 2 is used with fixed grid spacing, the gradient energy coefficient κ can be determined by Equation (2)
A lattice phase field model is developed to investigate microstructures of materials at the nanoscale, where the grid spacing is carefully controlled to match the of materials at theofnanoscale, where the gridTwo spacing is carefully controlled to match lattice parameters the crystalline material
Summary
Citation: Wu, P.; Liang, Y. LatticePhase Field Model for Nanomaterials.Materials 2021, 14, 7317. https://doi.org/10.3390/ma14237317Academic Editor: Boris B. StraumalReceived: 10 September 2021Accepted: 25 November 2021Published: 29 November 2021Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.Licensee MDPI, Basel, Switzerland.Attribution (CC BY) license (https://
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
