Domain wall dynamics at the local wire bend

In conclusion, we have presented a general approach of the domain wall dynamics at a wire bend with localized curvature. We have analytically found dependence of domain wall eigen frequency on the curvature. For a certain case of parabolic wire bend we performed full-scale micromagnetic simulations to check our analytical predictions. The results of simulations are in good agreement and demonstrate that the approximation of magnetostatic interaction by the effective easy-tangential anisotropy is physically sound for a domain wall dynamics in the thin nanowires.