Period doubling toward chaos in a driven magnetic macrospin

The Landau–Lifshitz–Gilbert equation is analyzed in the case of a configuration involving easy plane isotropy under the influence of a sinusoidally oscillating magnetic field and a demagnetizing field. Through the use of numerical techniques, chaotic behavior is found and analyzed. By reducing the s...

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Bibliographic Details
Published in:Journal of magnetism and magnetic materials 2010-08, Vol.322 (15), p.2127-2134
Main Authors: Smith, Ryan K., Grabowski, Marek, Camley, R.E.
Format: Article
Language:English
Subjects:
Chaos theory
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Convergence
Critical-point effects, specific heats, short-range order
Demagnetizing
Demagnetizing field
Exact sciences and technology
Joints
LLG
Magnetic bifurcation diagrams
Magnetic chaos
Magnetic fields
Magnetic nonlinearity
Magnetic period doublings
Magnetic properties and materials
Magnetism
Mathematical analysis
Numerical simulation studies
Period doubling
Physics
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Summary:The Landau–Lifshitz–Gilbert equation is analyzed in the case of a configuration involving easy plane isotropy under the influence of a sinusoidally oscillating magnetic field and a demagnetizing field. Through the use of numerical techniques, chaotic behavior is found and analyzed. By reducing the system to a discrete map (numerically), bifurcation diagrams for the system are computed. The system is found to exhibit a period doubling cascade route to chaos, and it obeys certain convergence rules for chaotic transitions outlined by Feigenbaum. A connection is drawn between the route to chaos and the geometry of the system, and comparisons are made with similar systems. Within the chaotic regime, windows of arbitrarily large period are suspected to exist, and explicitly illustrated and discussed for a period three window.
ISSN:0304-8853
DOI:10.1016/j.jmmm.2010.01.045