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首页> 外文期刊>Materials Letters >Relaxation time of superparamagnetic particles with uniaxial symmetry in the presence of an external magnetic field
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Relaxation time of superparamagnetic particles with uniaxial symmetry in the presence of an external magnetic field

机译：外部磁场作用下单轴对称超顺磁性粒子的弛豫时间

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摘要

The dynamics of a set of non-interacting single-domain particles is given by a stochastic phenomenological equation due to Gilbert. The relaxation time of fluctuation is calculated in the case of uniaxial magnetocrystalline anisotropy with and without magnetic field. An approximation formula for relaxation time tau of the magnetization for superparamagnetic particles, using the theory of Brownian motion, is given. It is found different from the results of previous work, but is in good agreement with the asymptotic formula derived by Brown for low-energy barriers. A mathematical method is used to solve the Fokker-Planck equation derived by Brown. This one describes the evolution of the probability density. The advantage of this method is its ability to provide an analytical formulation of the solution. In addition to numerical results, it allows the computation of relaxation time for various magnitudes of an external magnetic field.
机译：一组非相互作用的单畴粒子的动力学由吉尔伯特（Gilbert）的随机现象学方程式给出。在具有和不具有磁场的单轴磁晶各向异性的情况下，计算波动的弛豫时间。利用布朗运动理论，给出了超顺磁性粒子磁化弛豫时间tau的近似公式。它与以前的工作结果不同，但与Brown提出的低能垒的渐近公式非常吻合。使用一种数学方法来求解布朗推导的Fokker-Planck方程。这一篇描述了概率密度的演变。该方法的优点是它能够提供溶液的分析配方。除数值结果外，它还可以计算各种外部磁场强度的弛豫时间。

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