Characterization of the Chaotic Magnetic Particle Dynamics

In this paper, we study the deterministic spin dynamics of an anisotropic magnetic particle in the presence of a time-dependent magnetic field using the Landau-Lifshitz equation. In particular, we study the case when the magnetic field is homogeneous with a fixed direction perpendicular to the aniso...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2011-10, Vol.47 (10), p.3032-3035
Main Authors: Laroze, David, Bragard, Jean, Suarez, Omar J., Pleiner, Harald
Format: Article
Language:English
Subjects:
Anisotropic magnetoresistance
Chaos
Chaotic dynamics
Cross-disciplinary physics: materials science
rheology
Exact sciences and technology
Lyapunov spectrum
Magnetic recording
Magnetic resonance
Magnetization
magnetization dynamics
Materials science
Other topics in materials science
Perpendicular magnetic anisotropy
Physics
time-dependent magnetic field
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Summary:In this paper, we study the deterministic spin dynamics of an anisotropic magnetic particle in the presence of a time-dependent magnetic field using the Landau-Lifshitz equation. In particular, we study the case when the magnetic field is homogeneous with a fixed direction perpendicular to the anisotropy direction and consists of a constant and a time-periodic part. We characterize the dynamical behavior of the system by monitoring the Lyapunov exponents and by bifurcation diagrams. We focus on the dependence of the largest Lyapunov exponent on the magnitude and frequency of the applied magnetic field as well as on the anisotropy parameter of the particle. We find rather complicated landscape of sometimes closely intermingled chaotic and nonchaotic areas in parameter space with rather fuzzy boundaries in-between. For actual experiments that means the system can exhibit multiple transitions between regular and chaotic behavior.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2011.2158072