Inclusion of Dipolar Interactions in the Mathematical Modelling of Magnetic Hyperthermia through the Landau-Lifshitz-Gilbert Equation

Abstract

Magnetic Hyperthermia Treatment (MHT) continues to occupy clinicians, and experimental & theo- retical magneticians alike. The many modelling approaches for non-interacting magnetic nanoparti- cles(MNPs) were outlined by Carrey et al. [1] at ICCSAMC 2014 in Dresden. Several authors have outlined the important role interparticle interactions are likely to play in MHT for closely spaced particles [1{6]. Modelling of MHT for non-interacting MNPs through the Landau-Lifshitz-Gilbert (LLG) equation was undertaken by Ch^atel et al. [7]. Our aim is to incorporate the dipole-dipole interactions in the LLG analysis. The e�ects of interactions on the frequency response of the heating mechanism are presented for two identical MNPs

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