Stability of precessing domain walls in ferromagnetic nanowires

TL;DR

This paper demonstrates the stability of precessing domain wall solutions in ferromagnetic nanowires under small perturbations, combining analytical linear stability analysis with numerical verification of nonlinear stability.

Contribution

It provides the first analytical and numerical confirmation of the stability of precessing domain walls in ferromagnetic nanowires.

Findings

Linear stability is proven analytically.

Nonlinear stability is verified numerically.

Precessing solutions are stable under small perturbations.

Abstract

We show that recently reported precessing solution of Landau-Lifshitz-Gilbert equations in ferromagnetic nanowires is stable under small perturbations of initial data, applied field and anisotropy constant. Linear stability is established analytically, while nonlinear stability is verified numerically.