| The magnetization dynamics of suspended superparamagnetic particles is governed byinternal N .eel relaxation as well as Brownian diffusion of the whole particle. We herepresent semi-analytical and numerical solutions of the kinetic equation, describing thecombined rotation of particle orientation and magnetization. The solutions are based onan 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 con-vergence and limits of applicability of the method. Furthermore, we also provide thenumerical scheme in electronic form, so that readers can readily implement and use themodel.
for LaTeX users @article{MKroger2022-32,
author = {M. Kr\"oger and P. Ilg},
title = {Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: Semi-analytical and numerical solution},
journal = {Math. Mod. Meth. Appl. Sci.},
volume = {32},
pages = {1349-1383},
year = {2022}
}
\bibitem{MKroger2022-32} M. Kr\"oger, P. Ilg,
Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: Semi-analytical and numerical solution,
Math. Mod. Meth. Appl. Sci. {\bf 32} (2022) 1349-1383.MKroger2022-32
M. Kr\"oger, P. Ilg
Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: Semi-analytical and numerical solution
Math. Mod. Meth. Appl. Sci.,32,2022,1349-1383 |
mk@mat.ethz.ch
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