Domain wall motion in ferromagnetic nanowires driven by arbitrary time-dependent fields: An exact result

摘要

We address the dynamics of magnetic domain walls in ferromagnetic nanowiresunder the influence of external time-dependent magnetic fields. We report a newexact spatiotemporal solution of the Landau-Lifshitz-Gilbert equation for thecase of soft ferromagnetic wires and nanostructures with uniaxial anisotropy.The solution holds for applied fields with arbitrary strength and timedependence. We further extend this solution to applied fields slowly varying inspace and to multiple domain walls.