Stability of precessing domain walls in ferromagnetic nanowires

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.

8 pages, 5 figures, latest version: corrected typos, new figures, added references

References in corpus (4)

• Field-induced domain wall propagation velocity in magnetic nanowires
• Fast domain wall propagation under an optimal field pulse in magnetic nanowires
• Domain wall motion in ferromagnetic nanowires driven by arbitrary time-dependent fields: An exact result
• Analytical solution of the equation of motion for a rigid domain wall in a magnetic material with perpendicular anisotropy

Cited by in corpus (6)

• Fast domain wall propagation in uniaxial nanowires with transverse fields
• Domain wall motion in ferromagnetic nanotubes: Analytic results
• Inhomogeneous domain walls in spintronic nanowires
• Dynamics of ferromagnetic domain walls under extreme fields
• Asymptotic stability of precessing domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction
• Hysteresis in the Linearized Landau-Lifshitz Equation