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

Vladimir Zverev, Alla Dobroserdova, Andrey Kuznetsov, Alexey Ivanov and Ekaterina Elfimova
Additional contact information
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
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

Mathematics, 2021, vol. 9, issue 20, 1-15

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.

Keywords: ferrofluid; dynamic magnetic susceptibility; Langevin dynamics; interparticle interactions; computational error; computer simulations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/20/2581/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/20/2581/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:20:p:2581-:d:656084

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().