Geodesic
Dynamics of the magnetization of a single-domain deformed soft magnetic ferromagnet
Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 23 (2020) no. 2, pp. 82-91.

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On the basis of the quantum model taking into account the Zeeman energy and the energy of the crystal field, dynamic equations of Landau — Lifshitz — Hilbert type for the magnetization of the deformed single-domain $\alpha$-Fe crystal are obtained. The domain deformation is taken into account in the framework of a linear approximation. The equations of motion are solved numerically using the Adams — Multon, Rosenbrock, and RADAU5 methods. It is shown that for some values of the model parameters, the dependence of the magnetization on the strength of an external magnetic field has the characteristic form of a hysteresis loop. Qualitative agreement of the model dependence of the coercive force on the applied longitudinal pressure with similar experimental data for various steel grades Durehete 1055, AS1548-7-46OR, X70, 11HN3D is obtained.
Keywords: model Hamiltonian, Zeeman energy, crystal field, magnetic anisotropy, magnetization, hysteresis. 
@article{VVGUM_2020_23_2_a6,
     author = {I. P. Yermolenko and N. G. Lebedev},
     title = {Dynamics of the magnetization of a single-domain deformed soft magnetic ferromagnet},
     journal = {Matemati\v{c}eska\^a fizika i kompʹ\^uternoe modelirovanie},
     pages = {82--91},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VVGUM_2020_23_2_a6/}
}
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I. P. Yermolenko; N. G. Lebedev. Dynamics of the magnetization of a single-domain deformed soft magnetic ferromagnet. Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 23 (2020) no. 2, pp. 82-91. http://geodesic.mathdoc.fr/item/VVGUM_2020_23_2_a6/