Effective modeling of magnetization dynamics is key to understanding the nature of exotic magnetic structures and behaviors such as magnetic skyrmions and spin waves. Although the modeling of magnitude variation of magnetizations is crucial for magnets at finite temperatures (especially near the Curie temperature with the precursor effect), it is restrained in common micromagnetic simulations. Here, we propose an effective methodology for modeling the magnitude-fluctuated magnetization dynamics based on Ginzburg-Landau theory, which includes both the precession motion and adjustable magnitude of magnetizations simultaneously. Our model includes the intrinsic synergy of precession motion and adjustable magnitude of magnetizations, i.e., dynamic precursor effect. Therefore, in this paper, we provide an advanced simulation methodology and introduce an intrinsic dynamic modulation in magnetic system, which is anticipated to be a starting point for the future study of the dynamics of magnetization, magnetic domains, and topologies in magnets.

• Received 9 December 2021
• Revised 8 September 2022
• Accepted 9 September 2022

DOI:https://doi.org/10.1103/PhysRevB.106.094423