Abstract
Long-horizon micromagnetic simulation remains expensive because conventional and learned solvers typically propagate Landau--Lifshitz--Gilbert (LLG) dynamics step by step. Existing learned approaches generally retain stepwise integration or model deterministic evolution, leaving full-field, direct-horizon stochastic prediction largely unexplored. We propose FLARE, a flow-matching framework that recasts stochastic finite-time magnetization prediction as conditional transport over anchor-relative local axis-angle rotations. This rotation-space formulation respects the intrinsic geometry of magnetization dynamics and preserves pointwise unit norm by construction. By explicitly conditioning on the physical prediction horizon, FLARE directly generates full-field stochastic endpoints across multiple target times without stepwise integration. Against the strongest single-checkpoint external baseline on each metric, FLARE achieves 29.9% lower angular energy distance ($15.30^\circ$), and a 37.3% lower fair energy score (0.393). On a representative composed 5-ns two-segment protocol, FLARE achieves a $3{,}062\times$ best-batch speedup over the widely used GPU micromagnetic solver MuMax$^3$ on a single GPU.
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Publication details
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- Green open access
Cite this article
APA 7
Li, P., Tong, R., Jiang, X., Li, J., & Zhou, Y. (2026). FLARE: Flow Matching with Local Axis-Angle Representations for Stochastic Micromagnetic Evolution. https://omanscience.com/en/articles/flare-flow-matching-with-local-axis-angle-representations-for-stochastic-micromagnetic-evolution
MLA 9
Li, Pengyu, et al. "FLARE: Flow Matching with Local Axis-Angle Representations for Stochastic Micromagnetic Evolution." https://omanscience.com/en/articles/flare-flow-matching-with-local-axis-angle-representations-for-stochastic-micromagnetic-evolution.
Chicago (author–date)
Li, Pengyu, Renjie Tong, Xuanlue Jiang, Jianmin Li, and Yuanyuan Zhou. 2026. "FLARE: Flow Matching with Local Axis-Angle Representations for Stochastic Micromagnetic Evolution." https://omanscience.com/en/articles/flare-flow-matching-with-local-axis-angle-representations-for-stochastic-micromagnetic-evolution.
Harvard
Li, P., Tong, R., Jiang, X., Li, J. and Zhou, Y. (2026) 'FLARE: Flow Matching with Local Axis-Angle Representations for Stochastic Micromagnetic Evolution', Available at: https://omanscience.com/en/articles/flare-flow-matching-with-local-axis-angle-representations-for-stochastic-micromagnetic-evolution.
Vancouver
Li P, Tong R, Jiang X, Li J, Zhou Y. FLARE: Flow Matching with Local Axis-Angle Representations for Stochastic Micromagnetic Evolution. https://omanscience.com/en/articles/flare-flow-matching-with-local-axis-angle-representations-for-stochastic-micromagnetic-evolution
IEEE
P. Li, R. Tong, X. Jiang, J. Li, and Y. Zhou, "FLARE: Flow Matching with Local Axis-Angle Representations for Stochastic Micromagnetic Evolution," https://omanscience.com/en/articles/flare-flow-matching-with-local-axis-angle-representations-for-stochastic-micromagnetic-evolution.