Asymptotic Theory for Directed Transport of Suspended Ferromagnetic Nanoparticles
| Authors | S.I. Denisov1, T.V. Lyutyy2, M.M. Moskalenko2, A.T. Liutyi2, Yu.S. Bystryk1 |
| Affiliations |
1Institute of Applied Physics, National Academy of Sciences of Ukraine, 40000 Sumy, Ukraine 2Sumy State University, 40007 Sumy, Ukraine |
| Е-mail | denisov@sumdu.edu.ua |
| Issue | Volume 17, Year 2025, Number 1 |
| Dates | Received 28 November 2024; revised manuscript received 12 February 2025; published online 27 February 2025 |
| Citation | S.I. Denisov, T.V. Lyutyy, et al., J. Nano- Electron. Phys. 17 No 1, 01026 (2025) |
| DOI | https://doi.org/10.21272/jnep.17(1).01026 |
| PACS Number(s) | 75.75.Jn, 47.65.Cb |
| Keywords | Ferromagnetic nanoparticles, Dilute suspensions, Gradient and uniform magnetic fields, Translational and rotational nanoparticle dynamics, Directed transport, Matched asymptotic analysis. |
| Annotation |
Due to their significant physical properties, ferromagnetic nanoparticles have a wide range of applications. In particular, one of the exciting areas of ferromagnetic nanoparticle exploitation is their use in creating directed transport of substances. This kind of transport is a type of so-called Brownian motors associated with the existence of the ratchet effect in the out-from-equilibrium unbiased systems. The ratchet effect, ensuring the appearance of a steady transport in the underlying system, plays a crucial role in different fields of complex magnetic systems and materials and is the basis for the various applications of nanoparticles, from engineering to medicine. Several different physical principles contribute to the emergence of directional transport of ferromagnetic nanoparticles, provided that the particles perform not only translational but rotational motion as well. Probably, the most convenient and flexible way to generate such a directional transport is to use a special combination of external magnetic fields. Previously, we have proposed to use an effective mechanism of directed deterministic transport of single-domain ferromagnetic nanoparticles in a dilute suspension arising from the joint action of the harmonically oscillating gradient magnetic field in the presence of a time-independent uniform magnetic field. In this work, we continue the indicated course of research and develop the asymptotic theory of the ferromagnetic nanoparticle drift. Our approach is based on a set of first-order ordinary differential equations for the rigid dipole model of ferromagnetic nanoparticles that describe the interconnected time dependencies of the particle coordinate and magnetization angle. We find the asymptotic solutions of the proposed set of equations in the small and large time regimes. Also, by applying the matched asymptotic expansions for the special discrete times, we derive analytical expressions for the average particle coordinate and velocity. Finally, we show that the obtained theoretical dependences are qualitatively consistent with the numerical results. |
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List of References |
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