Stochastic Landau-Lifshitz-Gilbert Equation with Delayed Feedback Field(Condensed Matter Physics)
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概要
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A time-delayed feedback control to stabilize a swinging motion of magnetic moment in a single-domain magnetic system under AC field is studied. The system has a uniaxial anisotropy, and the AC field is parallel to this. Without control, it prefers the Ising state that is (anti) parallel to the anisotropy axis. The control stabilizes the oscillation across the equatorial plane perpendicular to the anisotropy axis (swinging motion). Employing a stochastic Landau-Lifshitz-Gilbert (LLG) equation, we study the effects of thermal fluctuation on the controlled state. Linear fluctuation, in which variance linearly depends on noise intensity, around the controlled state is analyzed in terms of correlation function and spectral density, and a criterion for the existence of such a linear relationship is obtained. Several technical improvements in the treatment of the stochastic LLG equation and the corresponding Fokker-Planck equation with stereographic coordinate system are also shown.
- 理論物理学刊行会の論文
- 2008-08-25
著者
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HORITA Takehiko
Department of Mathematical Sciences, Osaka Prefecture University
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Horita Takehiko
Department Of Control Engineering And Science Kyushu Institute Of Technology
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Horita Takehiko
Department Of Mathematical Sciences Osaka Prefecture University
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TUTU Hiroki
Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto
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Tutu Hiroki
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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Tutu Hiroki
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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