Nonlinear theory of the two-point correlation function |
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Authors: | A V Gurevich M I Zelnikov K P Zybin |
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Institution: | (1) Department of Theoretical Physics, P. N. Lebedev Physical Institute, Leninsky Pr. 53, 117924 Moscow, Russia |
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Abstract: | We consider the influence of the nonlinear stage of gravitational instability on the two-point correlation functions of gravitationally bound objects. Based on the theory of nonlinear gravitational contraction of a single density peak of dissipationless matter (Gurevich and Zybin, 1988a,b; 1990) we develop a method for calculating the two-point correlation functions of different objects of any mass. The method works good in the region of strong correlations and can be easily extended to calculate higher correlation functions. We show that the main contribution to the correlation function i in the region of strong correlations i 1 is made by pair systems located outside large clusters of objects. In this region the shape of i is determined only by the nonlinear dynamics of gravitational contraction of dissipationless matter and has the form i C
–, where 1.8 is a universal parameter. |
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Keywords: | Cosmology Gravitation |
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