N-body simulations of galaxy clustering. III - The covariance function

Astronomy and Astrophysics – Astrophysics

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Astronomical Models, Cosmology, Galactic Clusters, Many Body Problem, Boundary Value Problems, Covariance, Cross Correlation, Galactic Structure, Gravitational Collapse, Least Squares Method

Scientific paper

The covariance functions of N equal to 1000-4000 body simulations of galaxy clustering in an expanding universe (Aarseth, Gott and Turner, 1979) are found to be power laws in the nonlinear regime with slopes centered on 1.9 and a range of plus or minus 0.4. The gravitational instability picture in which galaxies form first and then cluster via mutual gravitational interactions is thus strongly supported. In addition, the models show strong evidence of two-body relaxation on small scales, while in models with two mass groups, the galaxies with twice the mass have covariance functions with approximately twice the amplitude. The results also show that the observed covariance function of galaxies by itself is not likely to be of much help in independently determining the value of Omega and the spectrum of initial density fluctuations.

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