On the theory of magnetic hyperthermia: clusterization of nanoparticles

Author:

Abu-Bakr Ali F.12ORCID,Zubarev Andrey Yu.23ORCID

Affiliation:

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

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

3. M.N. Mikheev Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, 620108, Russia

Abstract

Experiments show that clusters consisting of nano-sized ferromagnetic particles strongly affect the intensity of heat production during magnetic hyperthermia. In this paper, a theoretical study and mathematical modelling of the heat production by clusters of single-domain ferromagnetic particles, immobilized in a host medium, are presented. Two situations of strong and weak magnetic anisotropy of the particles are considered. Our results show that, in the case of strong anisotropy, the clusterization weakens the thermal effect, whereas in the case of weak anisotropy it enhances it. This article is part of the theme issue ‘Patterns in soft and biological matters'.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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