Magnetization dynamics in Landau–Lifshitz–Gilbert formulation. FMR experiment modeling

Temperature dependence of the FMR absorption lines in viscoelastic magnetic materials

“…Their results suggest that some additional peaks in low temperatures originate from the orientational anisotropy of frozen polymer blocks. This suggestion has been confirmed theoretically in one of the last papers [4] where a simple stochastic model for non-interacting magnetic nanoparticles in a non-magnetic polymer matrix has been introduced. The orientational dependence of the FMR spectra has been found earlier by Owens [5] for a colloidal suspension of -Fe 2 O 3 nanoparticles which have been solidified in a constant magnetic field (dc magnetic field).…”

“…2 and 4 as well as in the exper- iments [3,7,8] can be explained by different elastic response of the polymer matrix to the mechanical stress produced by the rotating nanograins in an applied external dc magnetic field and the effect of the magnetic dipole-dipole interactions between the magnetic nanoparticles on the process of their orientation. To this aim we extended a simplified theoretical model constructed for non-interacting magnetic nanoparticles [4] to the case when agglomerates of magnetic nanograins can appear in a polymer matrix. In the model, the magnetic anisotropy axes can undergo rotational oscillations in an elastic medium but the distances between the magnetic nanoparticles stay frozen during computer simulation.…”

“…Then, the dynamics are described with the help of two Langevin equations for the angles ϕ i and  i and they take the following form introduced in [4]: …”

Bulletin of the Polish Academy of Sciences: Technical Sciences

“…Under currently used models for molecular interactions, electron disturbances are not referenced or described in terms of a planetary system for atomic structure. However, it is the electronic states that are responsible for mechanical, magnetic and optical properties of the material [5][6][7][8][9][10][11][12][13][14]. We anticipate that the correct description of electron disturbances in the field of matrix-nanofiller interactions involves referencing the planetary model of the atom [15][16], which will allow us to reveal the new properties of nanocomposites.…”