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Towards a theory of magnetic hyperthermia: effect of immobilized chain-like aggregates

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Abstract

We present results of theoretical approach and mathematical modeling of magnetic hyperthermia produced by aggregates of ferromagnetic nanoparticles immobilized in a non-liquid carrier medium. It is supposed that the particles, due to their magnetic either disperse interaction, can form linear chain-like clusters. The mathematical model of kinetics of the particles remagnetization is formulated and solved for the cases of the single particles as well as for two- and three-particles chains. The limiting cases of the strong and weak internal magnetic anisotropy of the nanoparticles are considered. The results show that the chain-like aggregates reduce the heat production in the case of the strong magnetic anisotropy of the particles and enhances that in the opposite case of the weak anisotropy.

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Authors and Affiliations

  1. Mathematics and Computer Science Department, Faculty of Science, Menoufia University, Shebin El-Kom, 32511, Egypt

    A. F. Abu-Bakr

  2. Theoretical and Mathematical Physics Department, Institute of Natural Sciences and Mathematics, Ural Federal University, Lenin Avenue 51, Ekaterinburg, 620083, Russia

    A. F. Abu-Bakr & A. Yu. Zubarev

  3. M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia

    A. Yu. Zubarev

Authors
  1. A. F. Abu-Bakr
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  2. A. Yu. Zubarev
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Correspondence to A. F. Abu-Bakr.

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Abu-Bakr, A.F., Zubarev, A.Y. Towards a theory of magnetic hyperthermia: effect of immobilized chain-like aggregates. Eur. Phys. J. Spec. Top. 229, 2991–3007 (2020). https://doi.org/10.1140/epjst/e2020-000054-1

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  • DOI: https://doi.org/10.1140/epjst/e2020-000054-1

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