Anti-function solution of uniaxial anisotropic Stoner-Wohlfarth model

doi:10.1088/1674-1056/ac401e

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.

Keywords: Stoner-Wohlfarth model anti-trigonometric function hysteresis loop

Received: 29 July 2021
Revised: 16 November 2021
Accepted manuscript online: 05 December 2021

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	75.30.Gw	(Magnetic anisotropy)
	75.40.Cx	(Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.))
	75.60.Ej	(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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Anti-function solution of uniaxial anisotropic Stoner-Wohlfarth model

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