Skip to main content
SpringerLink
Log in

The electromagnetic field produced by oscillations of a magnetized incompressible infinitely long cylinder

  • Published:
Astrophysics Aims and scope

The oscillations of a magnetized incompressible cylinder with a uniform magnetic field along its axis and the resulting electromagnetic field are studied. Two types of characteristic oscillations, torsional and Alfvén, are found to exist in the linear approximation. In the case of an infinite cylinder with torsional oscillations, no electromagnetic field is generated. In the case of Alfvén oscillations, an electromagnetic field develops around the cylinder with a local flux density that falls off exponentially with radial distance from the axis of the cylinder and has a time average of zero. The results are interpreted physically.

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. A. Siemiginowska, R. K. Smith, T. L. Aldcroft, et al., Astrophys. J. 598, L15- L18 (2003).

    Article  ADS  Google Scholar 

  2. M. C. Begelman, R. D. Blandford, and M. J. Rees, Reviews of Modern Physics, 56, 255 (1984).

    Article  ADS  Google Scholar 

  3. G. S. Bisnovatyi-Kogan, in: L. Errico and A. A. Vittone, eds., Stellar Jets and Bipolar Outflows, Kluwer. Proc. ApSS Lib. 186, 369 (1993).

  4. S. Chandrasekhar and E. Fermi, Astrophys. J. 118, 116 (1953).

    Article  MathSciNet  ADS  Google Scholar 

  5. G. S. Bisnovatyi-Kogan, B. V. Komberg, and A. M. Fridman, Astron. Zh. 46, 465 (1969).

    ADS  Google Scholar 

  6. W. A. Hiltner, Astrophys. J. 130, 340 (1959).

    Article  ADS  Google Scholar 

  7. A. H. Bridle and J. A. Eilek, Physics of Energy Transport in Extragalactic Radio Sources, Greenbank, NRAO (1984).

  8. R. C. Thomson, C. D. Mackay, and A. E. Wright, Nature 365, 133 (1993).

    Article  ADS  Google Scholar 

  9. G. S. Bisnovatyi-Kogan and R. V. E. Lovelace, Astron. Astrophys. 296, L17 (1995).

    ADS  Google Scholar 

  10. B. E. Stern and Y. Y. Tikhomirova, Mon. Notic. Roy. Astron. Soc. Letters 398, L1 (2009).

    Article  ADS  Google Scholar 

  11. G. S. Bisnovatyi-Kogan, Astrophysics and Space Science 297, 9 (2005).

    Article  ADS  MATH  Google Scholar 

  12. G. S. Bisnovatyi-Kogan, Mon. Notic. Roy. Astron. Soc. 376, 457 (2007).

    Article  ADS  Google Scholar 

  13. G. S. Bisnovatyi-Kogan, Astrophysics and Space Science 311, 287 (2007).

    Article  ADS  Google Scholar 

  14. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  15. I. N. Bronshtein and K. A. Semendev, Handbook of Mathematics [in Russian], GITTL, Moscow (1953).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Space Research (IKI), Russian Academy of Sciences, Moscow, Russia

    G. S. Bisnovatyi-Kogan

  2. Moscow Institute of Physics and Technology (State University), Moscow, Russia

    S. V. Pavlov

Authors
  1. G. S. Bisnovatyi-Kogan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. V. Pavlov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. S. Bisnovatyi-Kogan.

Additional information

Translated from Astrofizika, Vol. 54, No. 4, pp. 581–598 (November 2011).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bisnovatyi-Kogan, G.S., Pavlov, S.V. The electromagnetic field produced by oscillations of a magnetized incompressible infinitely long cylinder. Astrophysics 54, 515–537 (2011). https://doi.org/10.1007/s10511-011-9202-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10511-011-9202-9

Keywords

Search

Navigation