Anti-function solution of uniaxial anisotropic Stoner-Wohlfarth model
Kun Zheng(郑坤)1, Yu Miao(缪宇)1, Tong Li(李通)1, Shuang-Long Yang(杨双龙)1, Li Xi(席力)1, Yang Yang(杨洋)1, Dun Zhao(赵敦)2,†, and De-Sheng Xue(薛德胜)1,‡
1 Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, China; 2 School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
Abstract The anti-trigonometric function is used to strictly solve the uniaxial anisotropic Stoner-Wohlfarth (SW) model, which can obtain the relation of the angle α (θ) between the magnetization (the anisotropy field) and the applied magnetic field. Using this analytic solution, the hysteresis loops of uniaxial anisotropic SW particles magnetized in typical directions could be numerically calculated. Then, the hysteresis loops are obtained in randomly distributed SW particle ensembles while ignoring the dipole interaction among them with the analytic solution. Finally, the correctness of the analytic solution is verified by the exact solutions of remanence, switching field, and coercivity from the SW model. The analytic solution provides an important reference for understanding the magnetizing and magnetization reversal processes of magnetic materials.
(Magnetization curves, hysteresis, Barkhausen and related effects)
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 91963201, 12174163, and 12075102), PCSIRT (Grant No. IRT-16R35), and the 111 Project (Grant No. B20063).
Corresponding Authors:
Dun Zhao, De-Sheng Xue
E-mail: zhaod@lzu.edu.cn;xueds@lzu.edu.cn
Cite this article:
Kun Zheng(郑坤), Yu Miao(缪宇), Tong Li(李通), Shuang-Long Yang(杨双龙), Li Xi(席力), Yang Yang(杨洋), Dun Zhao(赵敦), and De-Sheng Xue(薛德胜) Anti-function solution of uniaxial anisotropic Stoner-Wohlfarth model 2022 Chin. Phys. B 31 040202
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