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Front Propagation In Uniaxial Ferromagnets

Author

Listed:
  • J. R. FERMIN

    (Departamento de Física, Facultad de Ciencias, Universidad del Zulia, Aptdo. Postal 526, Maracaibo 4001, Zulia, Venezuela)

  • R. RIVAS SUÁREZ

    (Departamento de Física, Facultad de Ciencias, Universidad del Zulia, Aptdo. Postal 526, Maracaibo 4001, Zulia, Venezuela)

  • J. P. FRANCESCHINI

    (Departamento de Física, Facultad de Ciencias, Universidad del Zulia, Aptdo. Postal 526, Maracaibo 4001, Zulia, Venezuela)

  • L. J. RODRÍGUEZ

    (Departamento de Química, Facultad de Ciencias, Universidad del Zulia, Aptdo. Postal 526, Maracaibo 4001, Zulia, Venezuela)

Abstract

This work is a theoretical study of fronts propagating into an uniaxial ferromagnetic medium with velocityv, when the magnetization,M, is driven by a DC applied magnetic field,H0, from the demagnetized to the magnetized state. It is assumed that the dynamics ofMis govern by the Landau–Lifshitz–Gilbert equation (LLGE). We also consider an effective field that includes in-plane uniaxial,HU, and shape anisotropy fields,HD. We show that, in the particular case of uniformly translating profiles, this equation reduces to a damped-forced Duffing's equation, with a family of solutions that describe periodic oscillating (PO), damped oscillating (DO) or exponential front profiles (EF). Of particular interest is the existence of a critical speed,v0, below which there are no stable states for the magnetization. When the velocity of the profile exactly equalsvosc, the only stable states are the PO profiles. Abovevosc, there is an asymptotic speed,v*, that separates the DO profiles from EF profiles. This velocity(v*)is connected with the existence of a non-linear marginal stability point for front propagation. Bothv0andv*depend on the applied field and on the anisotropy constants of the material. A stability diagram for front propagation and magnetization curves are also calculated.

Suggested Citation

  • J. R. Fermin & R. Rivas Suárez & J. P. Franceschini & L. J. Rodríguez, 2003. "Front Propagation In Uniaxial Ferromagnets," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 6(02), pages 205-214.
    • Handle: RePEc:wsi:acsxxx:v:06:y:2003:i:02:n:s0219525903000852
    DOI: 10.1142/S0219525903000852
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