Skip to main content
SpringerLink
Log in

Front propagation in anisotropic magnetic media

  • Statistical and Nonlinear Physics
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

The purpose of this work is to investigate on the phenomenon of front propagation into magnetic media. Here, we study the case when the magnetization, M, is driven by a dc applied magnetic field, H 0, from the demagnetized to the magnetized state. A theoretical model is presented for solving the Landau-Lifshitz-Gilbert equation (LLGE) in the framework of an effective field that includes first order cubic, H1, in-plane uniaxial, H u, and shape anisotropy fields, H D. It is shown that the dynamics of the magnetization is governed by a diffusion-reaction equation, and in the important case of uniformly translating profiles, this equation gives a family of solutions that describe harmonic oscillating (HO), damped oscillating (DO), exponential (EF), amplified oscillating (AO), and dual front profiles (DF), depending on the relative value of the anisotropy fields. Also of interest is the existence of a critical front speed, ν*, connected to a transition point from a region of pulled fronts (ν < ν*) into a region of pushed fronts (ν > ν*). This transition shows a strong dependence on the relative value of the anisotropy constants of the medium, and characterizes the magnetization dynamics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Fähnle, R. Drautz, R. Singer, D. Steiauf, D.V. Berkov, Comp. Mater. Science 32, 118 (2005)

    Article  Google Scholar 

  2. C. Serpico, J. Magn. Magn. Mater. 290–291, 48 (2005)

    Google Scholar 

  3. U. Ebert, W. van Saarloos, Physica D 146, 1 (2000)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. W. van Saarloos, Phys. Rev. Lett. 38, 2571 (1987)

    Article  Google Scholar 

  5. U. Ebert, W. Spruijt, W. van Saarloos, Physica D 199, 13 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. R.D. Benguria, M.C. Depassier, Phys. Rev. E 66, 026667 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  7. D.V. Berkov, IEEE Trans. Magn. 33, 3439 (1997)

    Article  Google Scholar 

  8. M. Skiersky, A.M. Grundland, J.A. Tuszynski, Phys. Lett. A 133, 213 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  9. P. Winternitz, A.M. Grundland, J.A. Tuszynski, J. Phys. C 21, 4931 (1988)

    Article  ADS  Google Scholar 

  10. J. Powell, A.C. Newell, C.K.R.T. Jones, Phys. Rev. A 44, 3636 (1990)

    Article  ADS  Google Scholar 

  11. F.J. Elmer, J.P. Eckmann, G. Hartsleben, Nonlinearity 7, 1261 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. D.W. Jordan, P. Smith, in Nonlinear Differential Equations (Oxford. Univ. Press, London, 1977), Chap. 7, p. 179

    MATH  Google Scholar 

  13. J.R. Fermin, R. Rivas-Suárez, J.P. Francheschini, L.J. Rodriguez, Advances in Complex Systems 6, 205 (2003)

    Article  MATH  Google Scholar 

  14. W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes in C (Cambridge Univ. Press, 1994)

  15. P. Pleshko, I. Palócz, Phys. Rev. Lett. 22, 1201 (1969)

    Article  ADS  Google Scholar 

  16. B.A. Kalinikos, M.P. Kostylev, IEEE Trans. Magn. 33, 3445 (1997)

    Article  ADS  Google Scholar 

  17. N.G. Kovshikov, B.A. Kalinikos, C.E. Patton, E.S. Wright, J.M. Nash, Phys. Rev. B, 54, 15210 (1996)

    Article  ADS  Google Scholar 

  18. F.J. Elmer, J. Burns, H. Suhl, Europhys. Lett. 22, 399 (1993)

    Article  ADS  Google Scholar 

  19. F.J. Elmer, J.P. Eckmann, G. Hartsleben, Nonlinearity 7, 1261 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    J. R. Fermin

  2. Departamento de Física y Matemática, Los Perozo, Universidad Nacional Experimental Francisco de Miranda, Coro, Venezuela

    R. Rivas-Suárez

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

    L. Rodríguez E.

Authors
  1. J. R. Fermin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Rivas-Suárez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. L. Rodríguez E.
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. R. Fermin.

Additional information

Also an invited researcher from the Centro de Investigación Tecnológica e Ingeniería, URBE.

Also an invited researcher from the Laboratorio de Astrofísica y Física Teórica, LUZ.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fermin, J.R., Rivas-Suárez, R. & Rodríguez E., L. Front propagation in anisotropic magnetic media. Eur. Phys. J. B 65, 239–244 (2008). https://doi.org/10.1140/epjb/e2008-00345-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2008-00345-0

PACS

Search

Navigation