Dynamic Susceptibility of Ferrofluids: The Numerical Algorithm for the Inverse Problem of Magnetic Granulometry

Alexey O. Ivanov and Vladimir S. Zverev
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Alexey O. Ivanov: Ural Mathematical Center, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin Av., 51, 620000 Ekaterinburg, Russia
Vladimir S. Zverev: Ural Mathematical Center, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin Av., 51, 620000 Ekaterinburg, Russia

Mathematics, 2021, vol. 9, issue 19, 1-11

Abstract: The size-dependent properties of magnetic nanoparticles (MNP) are the major characteristics, determining MNP application in modern technologies and bio-medical techniques. Direct measurements of the nanosized particles, involved in intensive Brownian motion, are very complicated; 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.

Keywords: mathematical model; ferrofluid; dynamic susceptibility; numerical algorithm; relaxation time (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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