Magnetization relaxation of uniaxial anisotropic ferromagnetic particles with linear reaction dynami

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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 polyno-mials 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 unifor-mity 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.
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