Micromagnetic-to-macroscopic transfer of LLG-based models

Determine a rigorous methodology to transfer micromagnetic models, such as the Landau–Lifshitz–Gilbert equation defined at nanometer scales, to accurately predict macroscopic magnetic behavior in real-world ferrite material probes with heterogeneous, defective grain structures.

Background

The paper highlights a scale mismatch between micromagnetic models (e.g., Landau–Lifshitz–Gilbert) that operate at the nanometer scale and the macroscopic behavior of ferrite materials dominated by micrometer-scale heterogeneous grain structures.

Bridging this gap is identified as a key unresolved issue for developing physically grounded, time-resolved models of magnetic hysteresis applicable to real-world ferrites.

References

Physical models based on micromagnetic particle interactions such as the \gls{llg} operate at the nanometer scale. Transferring those to real-world magnetic material probes with heterogeneous, defective structures remains an open question.

RHINO-MAG: Recursive H-Field Inference based on Observed Magnetic Flux under Dynamic Excitation  (2603.29745 - Vater et al., 31 Mar 2026) in Section 1.1 Related work