The Correlation Strength of Clusters in the Cosmic String Model

  • Jia-lu Zhang
  • Yi-peng Jing
Conference paper


It is known that the two-point correlation functions of galaxies and of clusters of galaxies have three systematic characteristics. 1. all correlation functions have power laws with approximately the same index −1.8. i.e. ξ(r)=αr−1.8; 2. the correlation strength α increases with the increase of the mean separations d of the systems considered and 3. α also increases with the increase of the mean richness of the systems (the Bahcall-Soneira relation).


Microwave Anisotropy 


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  1. 1.
    A. Szalay. D. Schramm: Nature 314, 718 (1985)CrossRefADSGoogle Scholar
  2. 2.
    N. Turok: Phys. Rev. Lett. 55 1801 (1985)CrossRefADSGoogle Scholar
  3. 3.
    N. Turok. R. H. Brandenberger: Phys. Rev. D33, 2175 (1986)CrossRefADSGoogle Scholar
  4. 4.
    Y.P. Jing. J.L. Zhang: Acta Astrophys. Sinica (in press)Google Scholar
  5. 5.
    P.J.E. Peebles: The large-scale structure of the Universe (Princeton University Press. Princeton 1980)Google Scholar
  6. 6.
    N.A. Bahcall. W. Burgett: Astrophys. J. 300. L35 (1986)CrossRefADSGoogle Scholar
  7. 7.
    M. Kaiinkov, I. Kuneva: M.N.R.A.S. 218. 49P (1986)ADSGoogle Scholar
  8. 8.
    L. Z. Fang: “Fractals of the large-scale structure of the Universe”. USTC-preprint (1986)Google Scholar
  9. 9.
    S.A. Shectman: Astrophys. J. Suppl. 57, 77 (1985)CrossRefADSGoogle Scholar
  10. 10.
    N.A. Bahcall. R. A. Soneira: Astrophys. J. 270, 20 (1983)CrossRefADSGoogle Scholar
  11. 11.
    Y. Gao: A report on Yellow Mountain International Summer School on Physics and Astrophysics No. 1 (August. 1987)Google Scholar
  12. 12.
    G.O. Abell: Astrophys. J. Suppl. 3, 211 (1958)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Jia-lu Zhang
    • 1
  • Yi-peng Jing
    • 1
  1. 1.Center for AstrophysicsUniversity of Science and Technology of ChinaHefeiPeople’s Republic of China

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