Reaction diffusion dynamics and the Schryer-Walker solution for domain walls of the Landau-Lifshitz-Gilbert equation

Abstract

We study the dynamics of the equation obtained by Schryer and Walker for the motion of domain walls. The reduced equation is a reaction diffusion equation for the angle between the applied field and the magnetization vector. If the hard axis anisotropy $K_d$ is much larger than the easy axis anisotropy $K_u$, there is a range of applied fields where the dynamics does not select the Schryer-Walker solution. We give analytic expressions for the speed of the domain wall in this regime and the conditions for its existence.

11 pages, 5 figures

References in corpus (3)

• The 2014 Magnetism Roadmap
• Scaling of intrinsic Gilbert damping with spin-orbital coupling strength
• Speed of field driven domain walls in nanowires with large transverse magnetic anisotropy

Cited by in corpus (2)

• Dzyaloshinskii-Moriya domain walls in magnetic nanotubes
• Dynamics of ferromagnetic domain walls under extreme fields