Mathematics & Physics 2017, 10(1), 60–64 УДК 537.62 On the Hierarchy of the Characteristic Lengths of Nanowires Magnetization Anatoly A. Ivanov∗ Institute of Non-Ferrous Metals and Material Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia Vitaly A. Orlov† Institute of Engineering Physics and Radio Electronics Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Krasnoyarsk Science Centre SB RAS Akademgorodok 50, Krasnoyarsk, 660036 Russia Received 20.08.2016, received in revised form 10.10.2016, accepted 14.11.2016 Using computer simulation of magnetization in a polycrystalline ferromagnetic nanowire, we demonstrate the occurrence of the characteristic spatial scale in the distribution of magnetization unrelated to the domain wall or crystallite size. <...> We show that this length not only manifests itself in the analysis of magnetization distribution but is included in the spectral density of the force pinning a domain wall to inhomogeneities of the crystallographic anisotropy. <...> The parameters of a stochastic domain, including the constant and distribution of axes directions of the effective anisotropy, are analytically calculated. <...> A polycrystalline nanowire with a crystallite size somewhat smaller than the domain wall thickness (tens of nanometers) is considered. <...> The crystallites are so small that the inequality a≪δ0 can be considered valid, where a is the crystallite size and δ0 = √A/K is the domain wall size in a homogeneous material (A and K are the exchange and anisotropy constants, respectively). <...> N+1) of a magnet is represented by a function of magnetization direction angles at the grain boundaries, including polar angle ϑ and azimuth angle φ. <...> All rights reserved c – 60 – Anatoly A. Ivanov, Vitaly A. Orlov On the Hierarchy of the Characteristic Lengths . inside a crystallite and between crystallites, the anisotropy energy, the Zeeman energy, and the magnetostatic interaction energy between crystallites in the dipole approximation. <...> Here, µ = ⟨cos(2(αn −αm))⟩, α is the crystallite EMA polar angle, and σv is the dimensionless crystallite volume dispersion. <...> For simplicity, assume this function to be independent on the crystallite number and α0 to be a half of the polar angle of cone opening in the EMA distribution. <...> Meanwhile, the magnetization self-organization is observed in nanowires in the presence of the uniform macroscopic anisotropy induced by magnetostatics. – 61 – Anatoly A. Ivanov <...>