中国物理B ›› 2021, Vol. 30 ›› Issue (9): 90202-090202.doi: 10.1088/1674-1056/abeb0b

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Magnetization relaxation of uniaxial anisotropic ferromagnetic particles with linear reaction dynamics driven by DC/AC magnetic field

Yu-Song Hu(胡玉松)1, Min Jiang(江敏)1, Tao Hong(洪涛)1,†, Zheng-Ming Tang(唐正明)1, and Ka-Ma Huang(黄卡玛)2   

  1. 1 School of Electronic Information Engineering, China West Normal University, Nanchong 637000, China;
    2 College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China
  • 收稿日期:2020-12-25 修回日期:2021-02-24 接受日期:2021-03-02 出版日期:2021-08-19 发布日期:2021-08-24
  • 通讯作者: Tao Hong E-mail:scu mandela@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62001398 and 61731013) and the China West Normal University of Sichuan, China (Grant Nos. 416681 and 416682).

Magnetization relaxation of uniaxial anisotropic ferromagnetic particles with linear reaction dynamics driven by DC/AC magnetic field

Yu-Song Hu(胡玉松)1, Min Jiang(江敏)1, Tao Hong(洪涛)1,†, Zheng-Ming Tang(唐正明)1, and Ka-Ma Huang(黄卡玛)2   

  1. 1 School of Electronic Information Engineering, China West Normal University, Nanchong 637000, China;
    2 College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China
  • Received:2020-12-25 Revised:2021-02-24 Accepted:2021-03-02 Online:2021-08-19 Published:2021-08-24
  • Contact: Tao Hong E-mail:scu mandela@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62001398 and 61731013) and the China West Normal University of Sichuan, China (Grant Nos. 416681 and 416682).

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摘要： The response of uniaxial anisotropic ferromagnetic particles with linear reaction dynamics subjected to alternating current (AC) or direct current (DC) bias magnetic field is evaluated by the reaction-diffusion equation for the probability distribution function of the molecular concentration in the spherical coordinate system. The magnetization function and the probability distribution function of the magnetic particles in the reaction system are derived by using the Legendre polynomials and Laplace transform. We discuss the characteristics of magnetization and probability distribution of the magnetic particles with different anisotropic parameters driven by a DC and AC magnetic fields, respectively. It is shown that both the magnetization and the probability distribution decrease with time increasing due to the reaction process. The uniformity of the probability distribution and the amplitude of the magnetization are both affected by the anisotropic parameters. Meanwhile, the difference between the case with linear reaction dynamics and the non-reaction case is discussed.

关键词: linear reaction, probability distribution, magnetization, anisotropic

Abstract: The response of uniaxial anisotropic ferromagnetic particles with linear reaction dynamics subjected to alternating current (AC) or direct current (DC) bias magnetic field is evaluated by the reaction-diffusion equation for the probability distribution function of the molecular concentration in the spherical coordinate system. The magnetization function and the probability distribution function of the magnetic particles in the reaction system are derived by using the Legendre polynomials and Laplace transform. We discuss the characteristics of magnetization and probability distribution of the magnetic particles with different anisotropic parameters driven by a DC and AC magnetic fields, respectively. It is shown that both the magnetization and the probability distribution decrease with time increasing due to the reaction process. The uniformity of the probability distribution and the amplitude of the magnetization are both affected by the anisotropic parameters. Meanwhile, the difference between the case with linear reaction dynamics and the non-reaction case is discussed.

Key words: linear reaction, probability distribution, magnetization, anisotropic

中图分类号:  (Molecular dynamics and particle methods)

  • 02.70.Ns
77.90.+k (Other topics in dielectrics, piezoelectrics, and ferroelectrics and their properties) 13.40.Em (Electric and magnetic moments) 82.90.+j (Other topics in physical chemistry and chemical physics)