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arXiv · 1510.04927

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

R. D. Benguria·M. C. Depassier
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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.

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R. D. Benguria, M. C. Depassier. 2015-10-16. Reaction diffusion dynamics and the Schryer-Walker solution for domain walls of the Landau-Lifshitz-Gilbert equation. https://doi.org/10.1103/physrevb.93.144416

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