Dynamics of Suspended Nanoparticles in a Time-varyingGradient Magnetic Field: Analytical Results

Denisov, S. I.; Lyutyy, T. V.; Liutyi, A. T.

doi:10.21272/jnep.12(6).06028

Cited by 2 publications

(3 citation statements)

References 15 publications

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“…The derivatives with damping are given in Eqs. ( 23), (26), and ( 27) and u = ω × u applies in both cases. For reference we recall the general vector identity…”

Section: Appendix D: Time Derivative Of System Energymentioning

confidence: 99%

“…Here the equations of motion are derived from the total system energy, with the inclusion of stochastic and damping terms to model thermal noise and dissipation, respectively. Some studies have treated special cases or linearized versions of the equations analytically [23][24][25][26][27], but usually in their full nonlinear form they are solved numerically. The most common method is direct time-step integration [28,29] also known as a Langevin dynamics (LD) simulation, which we use in this paper.…”

Section: Introductionmentioning

confidence: 99%

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Conservation laws for interacting magnetic nanoparticles at finite temperature

Durhuus,

Beleggia,

Frandsen

2024

Phys. Rev. B

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We establish a general Langevin dynamics model of interacting, single-domain magnetic nanoparticles (MNPs) in liquid suspension at finite temperature. The model couples the Landau-Lifshitz-Gilbert equation for the moment dynamics with the mechanical rotation and translation of the particles. Within this model, we derive expressions for the instantaneous transfer of energy, linear, and angular momentum between the particles and with the environment. We demonstrate by numerical tests that all conserved quantities are fully accounted for, thus validating the model and the transfer expressions. The energy transfer expressions derived here are also useful analysis tools to decompose the instantaneous, nonequilibrium power loss at each MNP into different loss channels. To demonstrate the model capabilities, we analyze simulations of MNP collisions and high-frequency hysteresis in terms of power and energy contributions.

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“…The derivatives with damping are given in Eqs. ( 23), (26), and ( 27) and u = ω × u applies in both cases. For reference we recall the general vector identity…”

Section: Appendix D: Time Derivative Of System Energymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Conservation laws for interacting magnetic nanoparticles at finite temperature

Durhuus,

Beleggia,

Frandsen

2024

Phys. Rev. B

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show abstract

“…According to [19], there is no drift motion of nanoparticles at ν ⟂ = 0 and 𝜈 ǁ = 0. In this case, both the particle coordinate 𝑟 𝑥 and the magnetization angle 𝜑 are periodic functions of time 𝜏.…”

Section: The Case With 𝛎 ⟂ = 𝟎 and 𝝂 ǁ =mentioning

confidence: 99%

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

Denisov

M.²,

Lyutyy³

et al. 2021

J. Nano- Electron. Phys.

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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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Dynamics of Suspended Nanoparticles in a Time-varyingGradient Magnetic Field: Analytical Results

Cited by 2 publications

References 15 publications

Conservation laws for interacting magnetic nanoparticles at finite temperature

Conservation laws for interacting magnetic nanoparticles at finite temperature

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

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