Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Spin-Transfer Torque
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 43 شماره
صفحات -
تاریخ انتشار 2011