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

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 sub()dis much larger than the easy-axis aniso...

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Veröffentlicht in:	Physical review. B 2016-04, Vol.93 (14), Article 144416
Hauptverfasser:	Benguria, R. D., Depassier, M. C.
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Sprache:	eng
Schlagworte:	Anisotropy Condensed matter Diffusion Domain walls Dynamic tests Dynamics Exact solutions Mathematical analysis
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description	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 sub()dis much larger than the easy-axis anisotropy K sub(u), there is a range of applied fields where the dynamics does not select the Schryer-Walker solution. We give an analytic expression for the speed of the domain wall in this regime and the conditions for its existence.
doi_str_mv	10.1103/PhysRevB.93.144416
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subjects	Anisotropy Condensed matter Diffusion Domain walls Dynamic tests Dynamics Exact solutions Mathematical analysis
title	Reaction diffusion dynamics and the Schryer-Walker solution for domain walls of the Landau-Lifshitz-Gilbert equation
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