Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-06-02
Astron.Astrophys.326:433,1997
Astronomy and Astrophysics
Astrophysics
10 pages, Latex, 3 Postscript figures, accepted in A&A
Scientific paper
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 an 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.
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