Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: semi-analytical and numerical solution

Kröger, M. and Ilg, P. ORCID: https://orcid.org/0000-0002-7518-5543 (2022) Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: semi-analytical and numerical solution. Mathematical models and methods in applied Sciences (M3AS), 32 (7). pp. 1349-1383. ISSN 0218-2025 doi: 10.1142/S0218202522500300

Abstract/Summary

The magnetization dynamics of suspended superparamagnetic particles is governed by internal Néel relaxation as well as Brownian diffusion of the whole particle. We here present semi-analytical and numerical solutions of the kinetic equation, describing the combined rotation of particle orientation and magnetization. The solutions are based on an expansion of the joint probability density into a complete set of bipolar harmonics, leading to a coupled set of ordinary differential equations for the expansion coefficients. Extending previous works, we discuss the spectrum of relaxation times as well as convergence and limits of applicability of the method. Furthermore, we also provide the numerical scheme in electronic form, so that readers can readily implement and use the model.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/104642
Identification Number/DOI	10.1142/S0218202522500300
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	World Scientific
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