Skip to main content
SpringerLink
Log in

Complex magnetic susceptibility of uniaxial superparamagnetic particles in a strong static magnetic field

  • Magnetism and Ferroelectricity
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

The magnetic relaxation of a system of single-domain ferromagnetic particles in the presence of a strong static magnetic field directed at an arbitrary angle relative to the particle anisotropy axis is investigated. A system of linear difference-differential equations for the moments (averaged spherical harmonics) is derived without recourse to the Fokker-Planck equation by averaging Gilbert’s equations with a fluctuating field. An exact solution (in terms of matrix continuous fractions) is found for this system. The relaxation times and spectra of the complex magnetic susceptibility are calculated.

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. L. Néel, Ann. Geophys. (C.N.R.S.) 5, 99 (1949).

    Google Scholar 

  2. W. F. Brown, Jr., IEEE Trans. Magn. 15, 1196 (1979).

    Google Scholar 

  3. H. B. Braun and H. N. Bertram, J. Appl. Phys. 75, 4609 (1994).

    ADS  Google Scholar 

  4. C. P. Bean and J. D. Livingston, J. Appl. Phys. 30, 1205 (1959).

    Article  Google Scholar 

  5. L. D. Landau and E. M. Lifshitz, Phys. Z. Sowjetunion 8, 153 (1935).

    Google Scholar 

  6. T. L. Gilbert, Phys. Rev. 100, 1243 (1956) [Abstract only; full report, Armour Research Foundation Project, A059, Supplementary Report, May 1, 1956].

    Google Scholar 

  7. W. F. Brown, Jr., Phys. Rev. 130, 1677 (1963); J. Appl. Phys. 30, 130S (1959).

    ADS  Google Scholar 

  8. M. C. Wang and G. E. Uhlenbeck, Rev. Mod. Phys. 17, 323 (1945).

    Article  ADS  MathSciNet  Google Scholar 

  9. R. L. Stratonovich, Conditional Markov Processes and Their Application to the Theory of Optimal Control (Elsevier, New York, 1968).

    Google Scholar 

  10. A. Aharoni, Phys. Rev. 177, 763 (1969).

    Article  ADS  Google Scholar 

  11. E. C. Stoner and E. P. Wohlfahrt, Philos. Trans. R. Soc. London, Ser. A 240, 599 (1948).

    ADS  Google Scholar 

  12. Yu. L. Raikher and M. I. Shliomis, Zh. Éksp. Teor. Fiz. 67, 1060 (1974) [Sov. Phys. JETP 40, 526 (1975)].

    Google Scholar 

  13. R. S. Gekht, V. A. Ignatchenko, Yu. L. Raikher, and M. I. Shliomis, Zh. Éksp. Teor. Fiz. 70, 1300 (1974) [Sov. Phys. JETP 43, 677 (1974)].

    Google Scholar 

  14. D. A. Garanin, V. V. Ishchenko, and L. V. Panina, Teor. Mat. Fiz. 82, 242 (1990).

    Google Scholar 

  15. W. T. Coffey, D. S. F. Crothers, Yu. P. Kalmykov, and J. T. Waldron, Phys. Rev. B 51, 15 947 (1995).

    Google Scholar 

  16. W. T. Coffey, P. J. Cregg, and Yu. P. Kalmykov, in Advances in Chemical Physics, Vol. 83, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1994), pp. 263–464.

    Google Scholar 

  17. Yu. L. Raikher and M. I. Shliomis, in Advances in Chemical Physics, Vol. 87, edited by W. T. Coffey; series edited by I. Prigogine and S. A. Rice (Wiley, New York, 1994), p. 595.

  18. Yu. L. Raikher and V. I. Stepanov, Zh. Éksp. Teor. Fiz. 102, 1409 (1992) [Sov. Phys. JETP 75, 764 (1992)].

    Google Scholar 

  19. M. I. Shliomis and V. I. Stepanov, in Advances in Chemical Physics, Vol. 87, edited by W. T. Coffey; series edited by I. Prigogine and S. A. Rice (Wiley, New York, 1994), p. 1.

  20. É. K. Sadykov and A. G. Isavnin, Fiz. Tverd. Tela (St. Petersburg) 38, 2104 (1996) [Phys. Solid State 38, 1160 (1996)].

    Google Scholar 

  21. D. A. Garanin, Phys. Rev. E 54, 3250 (1996).

    Article  ADS  Google Scholar 

  22. Yu. P. Kalmykov and W. T. Coffey, Phys. Rev. B 56, 3325 (1997).

    Article  ADS  Google Scholar 

  23. H. Pfeiffer, Phys. Status Solidi B 118, 295 (1990).

    Google Scholar 

  24. H. Pfeiffer, Phys. Status Solidi B 122, 377 (1990).

    Google Scholar 

  25. W. T. Coffey, D. S. F. Crothers, J. L. Dorman, L. J. Geoghegan, Yu. P. Kalmykov, J. T. Waldron, and W. W. Wickstead, Phys. Rev. B 52, 15 951 (1995).

    Google Scholar 

  26. W. T. Coffey, D. S. F. Crothers, J. L. Dorman, L. J. Geoghegan, and E. C. Kennedy, Phys. Rev. B (in press).

  27. Yu. P. Kalmykov, J. Mol. Liq. 69, 117 (1996).

    Google Scholar 

  28. W. T. Coffey, Yu. P. Kalmykov, and J. T. Waldron, The Langevin Equation (World Scientific, Singapore, 1996).

    Google Scholar 

  29. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1989).

    Google Scholar 

  30. W. T. Coffey, J.-L. Déjardin, Yu. P. Kalmykov, and S. V. Titov, Phys. Rev. E 54, 6462 (1996).

    ADS  Google Scholar 

  31. J.-L. Déjardin, P.-M. Déjardin, and Yu. P. Kalmykov, J. Chem. Phys. 107, 508 (1997).

    ADS  Google Scholar 

  32. I. Klik and L. Gunther, J. Stat. Phys. 60, 473 (1990).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 141120, Fryazino, Moscow Region, Russia

    Yu. P. Kalmykov & S. V. Titov

Authors
  1. Yu. P. Kalmykov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. V. Titov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Fiz. Tverd. Tela (St. Petersburg) 40, 1642–1649 (September 1998)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kalmykov, Y.P., Titov, S.V. Complex magnetic susceptibility of uniaxial superparamagnetic particles in a strong static magnetic field. Phys. Solid State 40, 1492–1499 (1998). https://doi.org/10.1134/1.1130584

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1130584

Keywords

Search

Navigation