Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/112179
Title: Dynamic Susceptibility of Ferrofluids: The Numerical Algorithm for the Inverse Problem of Magnetic Granulometry
Authors: Ivanov, A. O.
Zverev, V. S.
Issue Date: 2021
Publisher: MDPI
MDPI AG
Citation: Ivanov A. O. Dynamic Susceptibility of Ferrofluids: The Numerical Algorithm for the Inverse Problem of Magnetic Granulometry / A. O. Ivanov, V. S. Zverev // Mathematics. — 2021. — Vol. 9. — Iss. 19. — 2450.
Abstract: The size-dependent properties of magnetic nanoparticles (MNP) are the major character-istics, determining MNP application in modern technologies and bio-medical techniques. Direct measurements of the nanosized particles, involved in intensive Brownian motion, are very compli-cated; so the correct mathematical methods for the experimental data processing enable to successfully predict the properties of MNP suspensions. In the present paper, we describe the fast numerical algorithm allowing to get the distribution over the relaxation time of MNP magnetic moments in ferrofluids. The algorithm is based on numerical fitting of the experimentally measured frequency spectra of the initial dynamic magnetic susceptibility. The efficiency of the algorithm in the solution of the inverse problem of magnetic granulometry is substantiated by the computer experiments for mono-and bi-fractional ferrofluids. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Keywords: DYNAMIC SUSCEPTIBILITY
FERROFLUID
MATHEMATICAL MODEL
NUMERICAL ALGORITHM
RELAXATION TIME
URI: http://hdl.handle.net/10995/112179
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85116370867
PURE ID: 23815028
ISSN: 2227-7390
metadata.dc.description.sponsorship: This research was funded by the Ministry of Science and Higher Education of the Russian Federation (Ural Mathematical Center Project No. 075-02-2021-1387).
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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