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Prog. Theor. Phys. Vol. 116 No. 6 (2006) pp. 1005-1028

[ Full Text PDF : FREE ACCESS (2391K) ]

Time-Delayed Feedback Method to Control Magnetic Orientation Dynamics in a Driven Anisotropic Nanoparticle System

Hiroki Tutu*

Department of Applied Analysis and Complex Dynamical Systems,
Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan

(Received August 30, 2006)

Abstract:

This paper proposes a theoretical method for control to switch the dynamics of the mean magnetic moment of a nanoparticle from a state of being (anti-)parallel to the magnetic easy axis into a state of swinging oscillation across the plane perpendicular to the anisotropic axis, or from the latter oscillation to the former state. The magnetic system is described as a single classical magnetic moment governed by a Landau-Lifshitz-type equation with a Gilbert damping term, and it is simplified by ignoring the magnetic effects other than the magnetic anisotropy and the driving magnetic field in order to externally control the mean magnetic moment. The driving field consists of a sinusoidal field and a controlling field which is implemented by a time-delayed feedback scheme in order to stabilize an unstable periodic cycle of the driven magnetic moment. First, we show the possibility for control with a conventional delayed-feedback scheme and we discuss the domains of relevant parameters for its linear stability in some cases in which the conversion from an internal physical state to measurable quantity is given by a linear transform, or that includes a weak nonlinearity. Then, we present one example of an extended control method to improve the stabilization so that it works better even in a driving field that is of lower frequency than that treated in the first part.


URL : http://ptp.ipap.jp/link?PTP/116/1005/
DOI : 10.1143/PTP.116.1005


*E-mail: tutu@acs.i.kyoto-u.ac.jp

[ Full Text PDF : FREE ACCESS (2391K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 117 No. 6 (2007) pp. 993-1028 :
    Instabilities in a One-Dimensional Driven Bistable System under Delayed Feedback Control
    Hiroki Tutu and Tatsuo Mitani
  2. Progress of Theoretical Physics Vol. 119 No. 3 (2008) pp. 361-379 :
    Pattern Dynamics Associated with Dynamic Phase Transitions
    Naoya Fujiwara and Takeo Kobayashi
  3. Progress of Theoretical Physics Vol. 120 No. 2 (2008) pp. 315-345 :
    Stochastic Landau-Lifshitz-Gilbert Equation with Delayed Feedback Field
    Hiroki Tutu and Takehiko Horita
  4. Progress of Theoretical Physics Vol. 123 No. 1 (2010) pp. 1-33 :
    Controlled Stochastic Resonance in a Bistable Magnetic System
    Hiroki Tutu

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