Bloch lines dynamics in domain wall of magnetic bubble

A general formalism for the determination of the effective mass of the nanoscale structural inhomogeneities of the domain wall in uniaxial ferromagnets

“…Accordingly, m L,BP are determined from the ‘kinetic potentials’ constructed on the basis of systems of integrodifferential equation solutions of the BL and BP dynamics. This approach presents significant difficulties [ 4 - 7 ], and it would be laudable to build a simpler theoretical formalism for finding m L,BP in the DW of different domain configurations. Another difficulty with the previous formalism is related to the dependence of the BL and BP parameters of the quantum effects, which take place for these magnetic structures in the subhelium temperature range, on their effective mass expressions [ 8 , 9 ].…”

A general formalism for the determination of the effective mass of the nanoscale structural inhomogeneities of the domain wall in uniaxial ferromagnets

“…Note that the viscosity of the system is taken into account by introducing into the balance of forces a dissipative linear vector function [16], which, to simplify the consideration of the problem, we do not consider in our article. Its effect on the stationary motion of the BL and BP results in finite values of the mobility of the DW structural inhomogeneities, causing negligibly small additions to their effective masses [1,6,7]. However, in yttrium-iron garnets, where the viscosity is due to an exchange relaxation of the magnetization vector [17], the viscosity can considerably affect the BP dynamics [18].…”

“…Similarly, for the vertical BL in the domain wall of the magnetic bubble domain, in accordance with [7], defining the Fourier harmonics of the DW bend in the BL center, we can write…”

“…Accordingly, m L,BP are determined from the 'kinetic potentials' constructed on the basis of systems of integrodifferential equation solutions of the BL and BP dynamics. This approach presents significant difficulties [4][5][6][7], and it would be laudable to build a simpler theoretical formalism for finding m L,BP in the DW of different domain configurations. Another difficulty with the previous formalism is related to the dependence of the BL and BP parameters of the quantum effects, which take place for these magnetic structures in the subhelium temperature range, on their effective mass expressions [8,9].…”

Dynamics of Domain Boundary with the Complex Internal Structure of the Cylindrical Magnetic Domain in External Magnetic Fields

“…Заметим, что частота колебаний блоховской линии L ω  при отсутствии в ДГ домена блоховских точек, в соответствии с результатом, полученным в [66], записывается в виде…”