Skip to main content
SpringerLink
Log in

Cosmological Primeval Perturbation Spectra in Mildly Non-Linear Regime

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

The linear equation (2.14) describing the dynamical evolution of density perturbation in an expanding universe is not able to determine the form of power-spectrum |δk|2, i.e. the energy distribution with respect to wave numbers k. However, in the case of weak turbulence, we may construct the kinetic equation for the wave modes of an oscillating universe with k > kJ (the Jean wavenumber). For the growing modes with long-wavelength in the range k < kJ after recombination, the perturbations are of vortex-like and their relative amplitudes are large (but we still study the case frac δ ρρ < 1); owing to the non-linear interactions, the system of the perturbations will finally towards a statistical equilibrium. In cases of both above, we obtain the primeval spectra in the form of | δ<>k | 2 ∼ k0, which are fitting to the self-similar clustering picture.

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

  • Borgani, S.: 1995, Phys. Rep. 251, 1.

    Google Scholar 

  • Churilov, S.M. and Shukhman, I.G.: 1982, Astron. Zh. 59, 1093.

    Google Scholar 

  • Davis, M. and Peebles, P.J.E.: 1977, Astrophys. J. Suppl. 34, 425.

    Google Scholar 

  • Efstathiou, G.: 1990, in: J.A. Peacock et al. (eds.), Physics of the Early Universe, SUSSP Publication, Edinburgh.

    Google Scholar 

  • Fridman, A.M. and Polyachenko, V.L.: 1984, Physics of Gravitating Systems II, Springer-Verlag, New York, p. 983.

    Google Scholar 

  • Fry, J.N.: 1994, Astrophys. J. 421, 21.

    Google Scholar 

  • Fyfe, D. and Montgomery, D.: 1979, Phys. Fluids 22, 246.

    Google Scholar 

  • Kraichnan, R.H.: 1979, J. Fluid Mech. 59, 745.

    Google Scholar 

  • Lewis, H.R. and Riesenfeld, W.B.: 1969, J. Math. Phys. 10, 1458.

    Google Scholar 

  • Peebles, P.J.E.: 1980, The Large-Scale Structure of the Universe, Princeton University Press.

  • Weinberg, S.: 1972, Gravitation and Cosmology, Wiley, New York.

    Google Scholar 

  • Yamomoto, K. and Hosokawa, I.: 1980. J. Phys. Soc. Japan 48, 349.

    Google Scholar 

  • Zakharov, V.E., Musher, S.L. and Rubenchik, A.M.: 1985, Phys. Rep. 129, 285.

    Google Scholar 

  • Zeldovich, Ya.B.: 1963, Zh. Eksp. Teor. Fiz. 45, 1150.

    Google Scholar 

  • Zeldovich, Ya.B.: 1972, Mon. Not. R. Astron. Soc. 160, 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Purple Mountain Observatory, Academia Sinica, Nanjing, China

    Xiao-Qing Li & Hang Zhang

Authors
  1. Xiao-Qing Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, XQ., Zhang, H. Cosmological Primeval Perturbation Spectra in Mildly Non-Linear Regime. Astrophysics and Space Science 250, 175–188 (1997). https://doi.org/10.1023/A:1000193421034

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1000193421034

Keywords

Search

Navigation