Skip to main content
Log in

Scaling behaviour in the truncated Zel'dovich approximation

  • Published:
Il Nuovo Cimento C

Summary

We analyse the scaling properties of the matter distribution generated by the truncated Zel'dovich approximation (TZA) for a universe dominated by a mixture of cold+hot non-baryonic dark matter. At the present epoch, the dark-matter distribution generated by TZA displays an intermediate scaling behaviour between about 4 and 60h −1 Mpc with a correlation dimensionD q∼2 forq≥2. The possible implications of these results are considered.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Geller M. J. andHuchra J. P.,Science,246 (1989) 897.

    Article  ADS  Google Scholar 

  2. Borgani S.,Phys. Rep.,251 (1995) 1.

    Article  Google Scholar 

  3. Peebles P. J. E.,The Large-Scale Structure of the Universe (Princeton University Press, Princeton) 1980.

    Google Scholar 

  4. Valdarnin R., Borgani S. andProvenzale A.,Astrophys. J.,394 (1992) 422.

    Article  ADS  Google Scholar 

  5. Colombi S., Bouchet F. R. andSchaeffer R.,Astron. Astrophys.,263 (1992) 1.

    ADS  Google Scholar 

  6. Yepes G., Dominguez-Tenreiro R. andCouchman H. M. P.,Astrophys. J.,401 (1992) 40.

    Article  ADS  Google Scholar 

  7. Guzzo L., Iovino A., Chincarini G., Giovanelli R. andHaynes M.,Astrophys. J.,382 (1991) L5.

    Article  ADS  Google Scholar 

  8. Murante G., Provenzale A., Borgani S., Campos A. andYepes G.,Astroparticle Phys.,5 (1996) 53.

    Article  ADS  Google Scholar 

  9. Zel'dovich Ya. B.,Astron. Astrophys.,4 (1970) 84.

    ADS  Google Scholar 

  10. Kofman L., Pogosyan S., Shandarin S. F. andMelott A. L.,Astrophys. J.,393 (1992) 437.

    Article  ADS  Google Scholar 

  11. Coles P., Melott A. L. andShandarin S. F.,Mon. Not. R. Astron. Soc.,260 (1993) 765.

    ADS  Google Scholar 

  12. Dubrulle B., Vergassola M. andFrisch U.,Astron. Astrophys.,289 (1994) 325.

    ADS  Google Scholar 

  13. Melott A. L., Pellman T. F. andShandarin S. F.,Mon. Not. R. Astron. Soc.,269 (1994) 626.

    ADS  Google Scholar 

  14. Borgani S., Coles P. andMoscardini L., submitted toMon. Not. R. Astron. Soc. (1994).

  15. Mandelbrot B. B.,The Fractal Geometry of Nature (Freeman, San Francisco) 1982.

    MATH  Google Scholar 

  16. Borgani S., Murante G., Provenzale A. andValdarnini R.,Phys. Rev. E,47 (1993) 3879.

    Article  ADS  Google Scholar 

  17. Paladin G. andVulpiani A.,Phys. Rep.,156 (1987) 147.

    Article  MathSciNet  ADS  Google Scholar 

  18. Provenzale A., inApplying Fractals in Astronomy, edited byA. Heck andJ. Perdang (Springer, Berlin) 1991.

    Google Scholar 

  19. Holtzman J. A.,Astrophys. J. Suppl. Series,71 (1989) 1.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fontana, L., Murante, G. & Provenzale, A. Scaling behaviour in the truncated Zel'dovich approximation. Il Nuovo Cimento C 19, 553–560 (1996). https://doi.org/10.1007/BF02523771

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02523771

PACS 98.52

Navigation