Numerical Analysis of the Nanoparticle Dynamics in a Viscous Liquid: Deterministic Approach

Authors S.I. Denisov , M.M. Moskalenko, T.V. Lyutyy , M.Yu. Baryba

Sumy State University, 2, Rymsky-Korsakov St., 40007 Sumy, Ukraine

Issue Volume 13, Year 2021, Number 6
Dates Received 14 November 2021; revised manuscript received 01 December 2021; published online 20 December 2021
Citation S.I. Denisov, M.M. Moskalenko, T.V. Lyutyy, M.Yu. Baryba, J. Nano- Electron. Phys. 13 No 6, 06027 (2021)
PACS Number(s) 75.75.Jn, 47.65.Cb
Keywords Single-domain nanoparticles, Viscous liquid, Uniform and gradient magnetic fields, Translational and rotational equations of motion, Nanoparticle drift.

We study the deterministic dynamics of single-domain ferromagnetic nanoparticles in a viscous liquid induced by the joint action of the gradient and uniform magnetic fields. It is assumed that the gradient field depends on time harmonically and the uniform field has two components, perpendicular and parallel to the gradient one. We also assume that the anisotropy magnetic field is so strong that the nanoparticle magnetization lies along the anisotropy axis, i.e., the magnetization vector is ‘frozen’ into the particle body. With these assumptions and neglecting inertial effects we derive the torque and force balance equations that describe the rotational and translational motions of particles. We reduce these equations to a set of two coupled equations for the magnetization angle and particle coordinate, solve them numerically in a wide range of the system parameters and analyze the role of the parallel component of the uniform magnetic field. It is shown, in particular, that nanoparticles perform only periodic rotational and translational motions if the perpendicular component of the uniform magnetic field is absent. In contrast, the nanoparticle dynamics in the presence of this component becomes non-periodic, resulting in the drift motion (directed transport) of nanoparticles. By analyzing the short and long-time dependencies of the magnetization angle and particle coordinate we show that the increase in the parallel component of the uniform magnetic field decreases both the particle displacement for a fixed time and its average drift velocity on each period of the gradient magnetic field.

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