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Analytical solutions of Landau–Lifshitz equation for precessional switching

J. Appl. Phys. 93, 6909 (2003); doi:10.1063/1.1557278

Issue Date: 15 May 2003

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C. Serpico
Department of Electrical Engineering, University of Napoli "Federico II," Napoli, Italy

I. D. Mayergoyz
Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742

G. Bertotti
IEN, Galileo Ferraris, Strada delle Cacce, 91 I-10135 Torino, Italy
A rigorous analysis of the precessional switching dynamics in uniformly magnetized particles and films is presented. Magnetization dynamics are described by the Landau–Lifshitz equation and the precessional switching is realized by applying a field pulse orthogonal to the easy axis of the particle or the film. The analysis of the switching process is based on the explicit knowledge of two integrals of motion for the magnetization dynamics and leads to closed form analytical expressions for the magnetization in terms of Jacobi elliptic functions. It is shown that switching can occur only beyond a critical field threshold. The analytical solutions are used to predict the magnetization trajectory and the switching time under external field pulses of different amplitudes and durations. ©2003 American Institute of Physics.
History: Presented 12 November 2002
Permalink: http://link.aip.org/link/?JAPIAU/93/6909/1
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KEYWORDS and PACS

Keywords
PACS
  • 75.60.Jk
    Magnetization reversal mechanisms
  • 75.50.Tt
    Fine-particle magnetic systems; nanocrystalline materials
  • 75.70.Ak
    Magnetic properties of monolayers and thin films
  • 75.40.Gb
    Dynamic properties of magnetic materials including dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc
  • YEAR: 2003

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PUBLICATION DATA

ISSN:
0021-8979 (print)   1089-7550 (online)
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REFERENCES (7)

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