Dynamics of the magnetization of a single-domain deformed soft magnetic ferromagnet

Автор: Yermolenko Igor P., Lebedev Nikolay G.

Журнал: Математическая физика и компьютерное моделирование @mpcm-jvolsu

Рубрика: Физика и астрономия

Статья в выпуске: 2 т.23, 2020 года.

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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 α-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.

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Model hamiltonian, zeeman energy, crystal field, magnetic anisotropy, magnetization, hysteresis

Короткий адрес: https://sciup.org/149131519

IDR: 149131519   |   DOI: 10.15688/mpcm.jvolsu.2020.2.7

Список литературы Dynamics of the magnetization of a single-domain deformed soft magnetic ferromagnet

  • Abragam A., Blini B. Elektronnyy paramagnitnyy rezonans perekhodnykh ionov [Electron Paramagnetic Resonance of Transition Ions]. Moscow, Mir Publ., 1973. 351 p.
  • Ashkroft N., Mermin N. Fizika tverdogo tela T. 1 [Solid State Physics Vol. 1]. Moscow, Mir Publ., 1979. 400 p.
  • Gorkunov E.S., Zadvorkin S.M., Putilova E.A., Savray E.A. Vliyanie struktury i napryazhennogo sostoyaniya na magnitnye svoystva metalla v razlichnykh zonakh svarnykh trub bolshogo diametra [The Influence of the Structure and Stress State on the Magnetic Properties of the Metal in Various Zones of Welded Pipes of Large Diameter]. Fizika metallov i metallovedenie [The Physics of Metals and Metallography], 2014, vol. 115, no. 10, pp. 1011-1018.
  • Gorkunov E.S., Yakushenko E.I., Zadvorkin S.M., Mushnikov A.N. Vliyanie uprugikh deformatsiy na magnitnye kharakteristiki khromonikelevykh staley [The Effect of Elastic Deformations on the Magnetic Characteristics of Chromium-Nickel Steels]. Fizika metallov i metallovedenie [The Physics of Metals and Metallography], 2015, vol. 116, no. 2, pp. 156-164.
  • Vonsovskiy S.V. Magnetizm [Magnetism]. Moscow, Nauka Publ., 1971. 1032 p.
  • Ignatyev V.K., Lebedev N.G., Orlov A.A. Kvantovaya model gisterezisa v odnodomennom magnitomyagkom ferromagnetike [Quantum Model of a Hysteresis in a SingleDomain Magnetically Soft Ferromagnetic]. Fizika metallov i metallovedenie [The Physics of Metals and Metallography], 2018, vol. 446, pp. 135-142.
  • Ignatyev V.K., Lebedev N.G., Nikitin A.V., Orlov A.A. Kvantovaya model gisterezisa v odnodomennom magnitomyagkom ferromagnetike [Quantum Model of a Hysteresis in a SingleDomain Magnetically Soft Ferromagnetic]. Fizika metallov i metallovedenie [The Physics of Metals and Metallography], 2018, vol. 120, pp. 227-238.
  • Krinchik G.S. Fizika magnitnykh yavleniy [Physics of Magnetic Phenomena]. Moscow, Izd-vo Mosc. un-ta, 1976. 367 p.
  • Landau L.D., Lifshits E.M. Teoreticheskaya fizika. T. III. Kvantovaya mekhanika [Theoretical Physics. Vol. III. Quantum Mechanics]. Moscow, FIZMATLIT Publ., 2004. 800 p.
  • Landau L.D., Lifshits E.M. Teoreticheskaya fizika. T. VII. Teoriya uprugosti [Theoretical Physics. Vol. VII. Theory of Elasticity]. Moscow, FIZMATLIT Publ., 2003. 264 p.
  • Lou V. Paramagnitnyy rezonans v tverdykh telakh [Paramagnetic Resonance in Solids]. Moscow, Izd-vo inostrannoy literatury Publ., 1962. 242 p.
  • Khayrer V. Reshenie zhestkikh ODU [Solution of Stiff ODE]. Moscow, Mir Publ., 1999. 685 p.
  • Cardelli E. Advances in Magnetic Hysteresis. Handbook of Magnetic Materials, 2015, vol. 24, pp. 323-409.
  • Ignayiev V.K., Lebedev N.G., Orlov A.A. Quantum Model of a Hysteresis in a SingleDomain Magnetically Soft Ferromagnetic. The Physics of Metals and Metallography, 2018, vol. 120, pp. 477-486.
  • Stevens K.J. Stress Dependence of Ferromagnetic Hysteresis Loops for Two Grades of Steel. NDT and E International, 2000, vol. 33, pp. 111-121.
  • Tiersten H.F. Coupled Magnetomechanical Equations for Magnetically Saturated Insulators. Journal of Mathematical Physics, 1964, vol. 5, pp. 1298-1318. DOI: 10.1063/1.1704239.
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