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Vortex motion for the Landau-Lifshitz-Gilbert equation with spin transfer torque


Reference:

Kurzke, M., Melcher, C. and Moser, R., 2011. Vortex motion for the Landau-Lifshitz-Gilbert equation with spin transfer torque. SIAM Journal on Mathematical Analysis (SIMA), 43 (3), pp. 1099-1121.

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Official URL:

http://dx.doi.org/10.1137/100806965

Abstract

We study the Landau-Lifshitz-Gilbert equation for the dynamics of a magnetic vortex system. We include the spin-torque effects of an applied spin current, and rigorously derive an equation of motion ("Thiele equation") for vortices if the current is not too large. Our method of proof strongly utilizes the geometry of the problem in order to obtain the necessary energy estimates.

Details

Item Type Articles
CreatorsKurzke, M., Melcher, C. and Moser, R.
DOI10.1137/100806965
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code23715

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