Magnetic APFC modeling and the influence of magneto-structural interactions on grain shrinkage

Research output: Contribution to journalResearch articleContributedpeer-review


We derive the amplitude expansion for a phase-field-crystal (APFC) model that captures the basic physics of magneto-structural interactions. The symmetry breaking due to magnetization is demonstrated, and the characterization of the magnetic anisotropy for a bcc crystal is provided. This model enables a convenient coarse-grained description of crystalline structures, in particular when considering the features of the APFC model combined with numerical methods featuring inhomogeneous spatial resolution. This is shown by addressing the shrinkage of a spherical grain within a matrix, chosen as a prototypical system to demonstrate the influence of different magnetizations. These simulations serve as a proof of concept for the modeling of manipulation of dislocation networks and microstructures in ferromagnetic materials within the APFC model.


Original languageEnglish
Article number064003
Number of pages15
JournalModelling and simulation in materials science and engineering
Issue number6
Publication statusPublished - Sept 2022

External IDs

WOS 000829767400001
ORCID /0000-0002-4217-0951/work/142237448



  • APFC modeling, magneto-structural properties, multiscale adaptive finite elements, BOUNDARY ENERGY, MOTION, SOLUTE SEGREGATION, FIELD, DISLOCATION LINE, VACANCY FORMATION ENERGIES, SIMULATION