The Magnus force (gyroscopic force) acting on magnetic vortices (Bloch lines) within domain boundaries in weak ferromagnets is discussed. A general formula is derived for the Magnus force in weak ferromagnets. The Magnus force is found to be nonzero for most types of domain boundaries and is determined by the average sublattice magnetization and the constants for the Dzyaloshinsky interaction and the exchange interaction between sublattices. Generalized expressions are obtained for the effective Lagrange and Rayleigh functions in weak ferromagnets taking their vortex structure into account. The question of the vortex mass, which has been found to be on the order of m*∼10−14g∕cm in YFeO3, is discussed. The dynamic flexure of domain boundaries when moving vortices are present is analyzed. A formula is derived for the magnetic field dependence of the velocity of a vortex in a motionless domain boundary.
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Звездин et al. (2010) studied this question.
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