Skip to main content

1/f Fluctuations in Cosmic Ray Extensive Air Showers

  • Conference paper
  • First Online:
Noise, Oscillators and Algebraic Randomness

Part of the book series: Lecture Notes in Physics ((LNP,volume 550))

  • 717 Accesses

Abstract

The fluctuations of the particle density distributions in extensive air showers have been studied at ground level. In order to achieve meaningful statistics, the interaction of cosmic rays with the earth atmosphere has been simulated by means of the CORSIKA Monte Carlo code. It is shown that the fluctuations of the particle density distributions as a function of the polar angle have features typical of a 1/f noise. The sample is then analysed in order to study its scaling behaviour and we find that it can be parametrized by means of a universal multifractal approach.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Sokolsky P. (1989) Introduction to Ultrahigh Energy Cosmic Ray Physics, Addison Wesley Redwood City, CA.

    Google Scholar 

  2. Greisen K. (1956) in Prog. Cosmic Ray Phys. 3, 3. Kamata K. and Nishimura J. (1958) in Prog. Theoretical Phys. Suppl. 6, 93.

    Google Scholar 

  3. Ratti S. P. et al. (1994) Z. Phys. C, 61, 229.

    Article  ADS  Google Scholar 

  4. De Wolf E. A. et al. (1996) Phys. Rept. 270, 1.

    Article  ADS  Google Scholar 

  5. Capdevielle J.N. et al. (1992) in KfK Report 4998(Kernforsc hungzentrum, Karlsruhe).

    Google Scholar 

  6. HEGRA Collaboration (1997) in Proceedings of the 25th International Cosmic Ray Conference of Durban 5, 113.

    Google Scholar 

  7. Feller W. An introduction to probability theory and its applications Vol.II (2nd ed.), Wiley.

    Google Scholar 

  8. Peebles P.Z. (1987) Probability, Random Variables and Random Signal Principles (2nd ed.), McGraw-Hill.

    Google Scholar 

  9. M.B. Weissman (1988) Rev. Mod. Phys. 60, 537.

    Article  ADS  Google Scholar 

  10. Davis A. et al. (1994) J. Geophys. Res. 99, D4, 8055.

    Article  ADS  Google Scholar 

  11. Schertzer D. and Lovejoy S. (1991) in Scaling, Fractals and Nonlinear Variability in Geophysics, edited by Schertzer D. and Lovejoy S. (Kluwer, Holland), 41.

    Google Scholar 

  12. Schertzer D. and Lovejoy S. (1993) in Nonlinear Variability in Geophysics 3: Scaling and multifractal processes. (Lecture Notes NVAG3, EGS).

    Google Scholar 

  13. Schertzer D. et al. in XXII Colloque GRETSI, 1313–1325.

    Google Scholar 

  14. Lavallee D. (1991) in Ph.D. Thesis, University McGill (Montreal, Canada).

    Google Scholar 

  15. Schertzer D. and Lovejoy S. (1989) in Nonlinear Variability in Geophysics: Multifractal analysis and simulation. (Fractals: Physical Origin and Consequences), edited by L. Pietronero (Plenum, New York), 49–79.

    Google Scholar 

  16. Schertzer D. and Lovejoy S. (1987) J. Geophys. Res. 92, 9693.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Faleiro, E., Gómez, J. (2000). 1/f Fluctuations in Cosmic Ray Extensive Air Showers. In: Planat, M. (eds) Noise, Oscillators and Algebraic Randomness. Lecture Notes in Physics, vol 550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45463-2_6

Download citation

  • DOI: https://doi.org/10.1007/3-540-45463-2_6

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67572-3

  • Online ISBN: 978-3-540-45463-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics