Larmor precession and Debye relaxation of single-domain magnetic nanoparticles

Details Larmor precession and Debye relaxation of single-domain magnetic nanoparticles Larmor precession and Debye relaxation of single-domain magnetic nanoparticles

2012-01-25

arxiv.org/abs/1201.5236v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 9 figures

Scientific paper

The numerous phenomenological equations used in the study of the behaviour of single-domain magnetic nanoparticles are described and some issues clarified by means of qualitative comparison. To enable a quantitative application of the model based on the Debye (exponential) relaxation and the torque driving the Larmor precession, we present analytical solutions for the steady states in presence of linearly and circularly polarized ac magnetic fields. The power loss is calculated for both cases and the results compared with the predictions of the Landau-Lifshitz-Gilbert equation. Using the exact analytical solutions, we can confirm the insight that underlies Rosensweig's introduction of the "chord" susceptibility for an approximate calculation of the losses. We also find that this approximation provides satisfactory numerical accuracy up to magnetic fields that would generate 3/4 of the saturation magnetization if applied constantly.

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