Geodesic
Dynamics of domain walls in a~cylindrical amorphous ferromagnetic microwire with magnetic inhomogeneities
Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 2, pp. 290-303

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We study the dynamics of a domain wall ($DW$) in the magnetic core of thin amorphous glass-coated bistable microwires with a circular cross section containing longitudinal inhomogeneities. We use a systematic analytic approach to the problem of finding particular solutions of the continuous Heisenberg model for which we use Landau–Lifshitz–Gilbert equations. We establish a relation between the structure of a material including defects and the DW mobility that explains some experimental data. For a given defect distribution in the longitudinal direction, we study the influence of defects on DW propagation in bistable glass-coated microwires. We obtain new key formulas for the DW velocity and acceleration based on taking the average defect distribution into account.
Keywords: Landau–Lifshitz–Gilbert equation, amorphous microwire, magnetic domain walls, magnetic inhomogeneity.
Mots-clés : anisotropy coefficient 
@article{TMF_2020_202_2_a7,
     author = {S. B. Leble and V. V. Rodionova},
     title = {Dynamics of domain walls in a~cylindrical amorphous ferromagnetic microwire with magnetic inhomogeneities},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {290--303},
     publisher = {mathdoc},
     volume = {202},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_202_2_a7/}
}
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S. B. Leble; V. V. Rodionova. Dynamics of domain walls in a~cylindrical amorphous ferromagnetic microwire with magnetic inhomogeneities. Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 2, pp. 290-303. http://geodesic.mathdoc.fr/item/TMF_2020_202_2_a7/