Force equation of the large-scale structure of the Universe.
This article presents a statistical-mechanical treatment of a relationship (the force equation) between the gravitational potential for two particles and the correlation functions in a relaxed distribution of particles with different masses. This relationship is used in the case of galaxies interacting through a Newtonian potential in a Universe in expansion, i.e. the large-scale distribution of galaxies. By applying this equation and from the observed two-point correlation function for galaxies as a -1.8 exponent power law, I derive the approximate dependence of a mass-mass correlation function as a -2.8 exponent power law, i.e. I infer that mass is more correlated than galaxies at short distances, when the distribution is considered as relaxed.
Astronomy and Astrophysics
- Pub Date:
- October 1997
- DARK MATTER;
- LARGE-SCALE STRUCTURE OF UNIVERSE;
- 10 pages, Latex, 3 Postscript figures, accepted in A&