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arXiv 2212.03382cond-mat.soft
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悬浮铁磁纳米颗粒定向输运的渐近理论

Asymptotic Theory for Directed Transport of Suspended Ferromagnetic Nanoparticles

S. I. Denisov, T. V. Lyutyy, M. M. Moskalenko, A. T. Liutyi, Yu. S. Bystryk

AI总结:

该研究采用刚性偶极子模型,基于描述颗粒坐标和磁化角时间依赖性的一阶微分方程,推导了时不变均匀磁场与简谐振荡梯度磁场下铁磁纳米颗粒平均坐标和速度的解析表达式,为其定向输运提供理论基础。

摘要:

我们采用刚性偶极子模型,研究了在时不变均匀磁场存在下,由简谐振荡梯度磁场诱导的稀悬浮液中单畴铁磁纳米颗粒的平动和转动运动。我们的方法基于一组描述颗粒坐标和磁化角时间依赖性的一阶微分方程。我们求出了该方程组在小时间和大时间下的渐近解,并通过对离散时间应用匹配渐近展开,推导了颗粒平均坐标和速度的解析表达式。

英文摘要:

Using the rigid dipole model, we study the translational and rotational motions of single-domain fer-romagnetic nanoparticles in a dilute suspension induced by the harmonically oscillating gradient magnetic field in the presence of a time-independent uniform magnetic field. Our approach is based on a set of the first-order differential equations that describe the time dependencies of the particle coordinate and mag-netization angle. We find the asymptotic solutions of this set of equations at small and large times and, by applying the matched asymptotic expansions for discrete times, derive analytical expressions for the aver-age particle coordinate and velocity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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