Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: semi-analytical and numerical solutionKröger, 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
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1142/S0218202522500300 Abstract/SummaryThe 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.
Download Statistics DownloadsDownloads per month over past year Altmetric Deposit Details University Staff: Request a correction | Centaur Editors: Update this record |