Forced coupled motion of the nanoparticle magnetic moment and the whole nanoparticle in a viscous fluid

Lyutyy, T. V.; Denisova, E. S.; Kvasnina, A. V.

doi:10.1109/nap.2017.8190416

Cited by 1 publication

(1 citation statement)

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“…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%

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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