Skip to main content
SpringerLink
Log in

Strong cosmic-ray scattering in an anisotropic random magnetic field

  • Published:
Astronomy Letters Aims and scope Submit manuscript

An Erratum to this article was published on 01 July 2005

Abstract

We calculate the kinetic coefficients and the transport mean free paths of high-energy particles parallel to the regular magnetic field in the approximation of a large-scale anisotropic random magnetic field by using a nonlinear collision integral, i.e., by taking into account the processes of strong random scattering. We consider the diffusion of solar and Galactic cosmic rays by two-dimensional turbulence. Strong random scattering by two-dimensional turbulence is shown to reduce the parallel transport mean free path several fold. The momentum dependence of the parallel mean free path does not change, Λ∥ ∝ p 2−v. In the case of strong random scattering by turbulence formed by several modes, the parallel transport mean free path is Λ∥ ∝ p. We show that two-dimensional turbulence can make a major contribution to the parallel transport mean free paths of cosmic rays in the heliosphere and the interstellar medium.

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. Achterberg, Astron. Astrophys. 98, 161 (1981).

    ADS  MATH  Google Scholar 

  2. V. S. Berezinskii, S. V. Bulanov, V. L. Ginzburg, et al., Astrophysics of Cosmic Rays (Nauka, Moscow, 1990).

    Google Scholar 

  3. J. W. Bieber, W. H. Matthaeus, C. W. Smith, et al., Astrophys. J. 420, 294 (1994).

    Article  ADS  Google Scholar 

  4. J. W. Bieber, W. Wanner, and W. H. Matthaeus, J. Geophys. Res. 101, 2511 (1996).

    ADS  Google Scholar 

  5. A. M. Bykov and I. N. Toptygin, Zh. Éksp. Teor. Fiz. 97, 194 (1990a).

    ADS  Google Scholar 

  6. A. M. Bykov and I. N. Toptygin, Zh. Éksp. Teor. Fiz. 98, 1255 (1990b).

    ADS  Google Scholar 

  7. A. M. Bykov and I. N. Toptygin, Usp. Fiz. Nauk 163, 19 (1993).

    Google Scholar 

  8. V. Carbone, F. Malara, and P. Veltri, J. Geophys. Res. 100, 1763 (1995).

    Article  ADS  Google Scholar 

  9. B. D. G. Chandran, Space Sci. Rev. 99, 271 (2001).

    Article  ADS  Google Scholar 

  10. L. G. Chuvilgin and V. S. Ptuskin, Astron. Astrophys. 279, 278 (1993).

    ADS  Google Scholar 

  11. W. Dröge, Astrophys. J. 589, 1027 (2003).

    ADS  Google Scholar 

  12. Z. Fujii and F. B. McDonald, J. Geophys. Res. 100, 17 043 (1995).

    Google Scholar 

  13. S. K. Gerasimov, V. G. Grigor’ev, P. A. Krivoshapkin, et al., Izv. Ross. Akad. Nauk, Ser. Fiz. 63, 1611 (1999).

    Google Scholar 

  14. J. R. Jokipii, Astrophys. J. 146, 480 (1966).

    Article  ADS  Google Scholar 

  15. N. S. Kaminer, A. E. Kuz’micheva, and N. V. Mymrina, Izv. Ross. Akad. Nauk, Ser. Fiz. 48, 2149 (1984).

    Google Scholar 

  16. E. V. Kolomeets and V. N. Sevost’yanov, Geomagn. Aéron. 27, 12 (1987).

    Google Scholar 

  17. A. A. Lagutin and A. G. Tyumentsev, Izv. Ross. Akad. Nauk, Ser. Fiz. 67, 443 (2003).

    Google Scholar 

  18. W. H. Matthaeus, M. L. Goldstein, and D. A. Roberts, J. Geophys. Res. 95, 20 673 (1990).

    Google Scholar 

  19. Yu. P. Mel’nikov, Zh. Éksp. Teor. Fiz. 109, 1599 (1996) [JETP 82, 860 (1996)].

    Google Scholar 

  20. Yu. P. Mel’nikov, Zh. Éksp. Teor. Fiz. 117, 526 (2000) [JETP 90, 460 (2000)].

    Google Scholar 

  21. A. H. Minter and S. R. Spangler, Astrophys. J. 458, 194 (1996).

    Article  ADS  Google Scholar 

  22. I. D. Palmer, Rev. Geophys. Space Phys. 20, 335 (1982).

    ADS  Google Scholar 

  23. V. S. Ptuskin, Space Sci. Rev. 99, 281 (2001).

    Article  ADS  Google Scholar 

  24. A. Shalchi and R. Schlickeiser, Astrophys. J. 604, 861 (2004).

    ADS  Google Scholar 

  25. S. R. Spangler, Space Sci. Rev. 99, 261 (2001).

    Article  ADS  Google Scholar 

  26. A. Teufel, L. Lerche, and R. Schlickeiser, Astron. Astrophys. 397, 777 (2003).

    ADS  Google Scholar 

  27. A. Teufel and R. Schlickeiser, Astron. Astrophys. 393, 703 (2002).

    Article  ADS  Google Scholar 

  28. A. Teufel and R. Schlickeiser, Astron. Astrophys. 397, 15 (2003).

    ADS  Google Scholar 

  29. I. N. Toptygin, Cosmic Rays in the Interplanetary Magnetic Fields (Nauka, Moscow, 1983; Reidel Publ. Company, Dordrecht, 1985).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. St. Petersburg State Technical University, ul. Politekhnicheskaya 29, St. Petersburg, 195251, Russia

    Yu. P. Mel’nikov & I. N. Toptygin

Authors
  1. Yu. P. Mel’nikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. N. Toptygin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Pis’ma v Astronomicheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Zhurnal, Vol. 31, No. 3, 2005, pp. 206–213.

Original Russian Text Copyright © 2005 by Mel’nikov, Toptygin.

An erratum to this article is available at http://dx.doi.org/10.1134/1.1958115.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mel’nikov, Y.P., Toptygin, I.N. Strong cosmic-ray scattering in an anisotropic random magnetic field. Astron. Lett. 31, 186–193 (2005). https://doi.org/10.1134/1.1883350

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1883350

Key words

Search

Navigation