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

TL;DR

This paper presents an exact analytical solution for the dynamics of magnetic domain walls in ferromagnetic nanowires under arbitrary time-dependent magnetic fields, advancing understanding of magnetic behavior in nanostructures.

Contribution

It provides a new exact solution to the Landau-Lifshitz-Gilbert equation for ferromagnetic nanowires with uniaxial anisotropy under arbitrary time-dependent fields.

Findings

Derived an exact spatiotemporal solution for domain wall motion.

Extended the solution to spatially varying fields and multiple domain walls.

Applicable to soft ferromagnetic wires with uniaxial anisotropy.

Abstract

We address the dynamics of magnetic domain walls in ferromagnetic nanowires under the influence of external time-dependent magnetic fields. We report a new exact spatiotemporal solution of the Landau-Lifshitz-Gilbert equation for the case of soft ferromagnetic wires and nanostructures with uniaxial anisotropy. The solution holds for applied fields with arbitrary strength and time dependence. We further extend this solution to applied fields slowly varying in space and to multiple domain walls.