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. Supplementary Code for the egg-model available here at Github
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},
doi = {10.1142/S0218202522500300}
}
\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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