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Computer Simulations of Dynamic Response of Ferrofluids on an Alternating Magnetic Field with High Amplitude

Author

Listed:
  • Vladimir Zverev

    (Ural Mathematical Center, Ural Federal University, 51 Lenin Avenue, 620000 Ekaterinburg, Russia)

  • Alla Dobroserdova

    (Ural Mathematical Center, Ural Federal University, 51 Lenin Avenue, 620000 Ekaterinburg, Russia)

  • Andrey Kuznetsov

    (Ural Mathematical Center, Ural Federal University, 51 Lenin Avenue, 620000 Ekaterinburg, Russia
    Physics of Phase Transitions Department, Perm State University, 15 Bukireva St., 614990 Perm, Russia)

  • Alexey Ivanov

    (Ural Mathematical Center, Ural Federal University, 51 Lenin Avenue, 620000 Ekaterinburg, Russia)

  • Ekaterina Elfimova

    (Ural Mathematical Center, Ural Federal University, 51 Lenin Avenue, 620000 Ekaterinburg, Russia)

Abstract

The response of ferrofluids to a high-amplitude AC magnetic field is important for several applications including magnetic hyperthermia and biodetection. In computer simulations of the dynamic susceptibility of a ferrofluid outside the linear response region, there are several problems associated with the fact that an increase in the frequency of the AC field leads to the appearance of additional computational errors, which can even lead to unphysical results. In this article, we study the dependence of the computational error arising in the computer simulation of the dynamic susceptibility on the input parameters of the numerical algorithm: the length of the time step, the total number of computer simulation periods, and averaging period. Computer simulation is carried out using the Langevin dynamics method and takes Brownian rotational relaxation of magnetic particles and interparticle interactions into account. The reference theory [Yoshida T.; Enpuku K. Jap. J. Ap. Phys. 2009] is used to estimate computational error. As a result, we give practical recommendations for choosing the optimal input parameters of the numerical algorithm, which make it possible to obtain reliable results of the dynamic susceptibility of a ferrofluid in a high-amplitude AC field in a wide frequency range.

Suggested Citation

  • Vladimir Zverev & Alla Dobroserdova & Andrey Kuznetsov & Alexey Ivanov & Ekaterina Elfimova, 2021. "Computer Simulations of Dynamic Response of Ferrofluids on an Alternating Magnetic Field with High Amplitude," Mathematics, MDPI, vol. 9(20), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:20:p:2581-:d:656084
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    References listed on IDEAS

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    1. Bernhard Gleich & Jürgen Weizenecker, 2005. "Tomographic imaging using the nonlinear response of magnetic particles," Nature, Nature, vol. 435(7046), pages 1214-1217, June.
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