Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Fractal turbulence and the origin of the galaxies and of the large-scale structure

  • 40 Accesses

  • 2 Citations

Abstract

Observations show that the geometry of the large-scale distribution of galaxies is like a self-similar sponge which can be regarded as a fractal in fractal geometry (the Sierpinski sponge) with the fractal dimensionD f=3−γ, γ=1.7–1.8 is the index in the two-point correlation function.

We suggest using a new scheme to explain the origin of galaxies and large-scale structure. In our model, we assume that the density perturbations in the early Universe are adiabatic, and once they come within the horizon, they might produce the vortices of the fractal turbulence because of the Thomson drag. A model of the fractal turbulence is also given in this paper. The results obtained show that the basic characteristics of the galaxies (massM g, angular momentumJ g) and the large-scale structure (fractal dimensionD f) can be explained, if the spectrum of early perturbations is the scale-free Zeldovich spectrum.

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

References

  1. de Vaucouleurs, G.: 1970,Science 167, 1203.

  2. Frisch, U., Sulem, P., and Nelkin, M.: 1978,J. Fluid Mech. 87, 719.

  3. Geller, M. J.: 1987, ‘Large-Scale Structure: The Center for Astrophysics Redshift Survey’, in A. H. Hewitt, G. Burbidge, and Li Zhi Fang (eds.),IAU Symp. 124, 301.

  4. Geller, M. J., de Lapparent, V., and Huchra, J. P.: 1986,Astrophys. J. 302, L1.

  5. Gibbons, G., Hawking, S., and Siklov, S.: 1983,The Very Early Universe, Cambridge Univ. Press, Cambridge.

  6. Kadanoff, L. P.: 1986,Phys. Today 6.

  7. Landau, L. D. and Lifshitz, E. M.: 1959,Fluid Mechanics, Pergamon, New York.

  8. Longair, M. S.: 1987, ‘Observational Cosmology 1986’, in A. Hewitt, G. Burbidge, and Li Zhi Fang (eds.),IAU Symp. 124, 823.

  9. Mandelbrot, B.: 1982,The Fractal Geometry of Nature, Freeman, San Francisco.

  10. Paladin, G. and Vulpiani, A.: 1986, in L. Pietronero and E. Tosatti (eds.),Fractals in Physics, Elsevier Science Publishers B.V., p. 313.

  11. Peebles, P. J. E.: 1971,Physical Cosmology, Princeton Univ. Press, London.

  12. Peebles, P. J. E.: 1980,The Large-Scale Structure of the Universe, Princeton Univ. Press, London.

  13. Tritton, D. J.: 1977,Physical Fluid Dynamics, Van Nostrand Reinhold Co., New York.

  14. Zeldovich, Ya. B.: 1972,Monthly Notices Roy. Astron. Soc. 160, 1.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Yong-Zhen, L., Zu-Gan, D. Fractal turbulence and the origin of the galaxies and of the large-scale structure. Astrophys Space Sci 136, 393–407 (1987). https://doi.org/10.1007/BF00642130

Download citation

Keywords

  • Vortex
  • Correlation Function
  • Sponge
  • Basic Characteristic
  • Early Universe