Galaxy clustering in the nonlinear regime

Mathematics – Probability

Scientific paper

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Galactic Clusters, Galactic Evolution, Nonlinear Systems, Power Spectra, White Noise, Density Distribution, Gravitational Fields, Probability Distribution Functions, Stellar Luminosity

Scientific paper

The rms density fluctuations are calculated using the ID Zel'dovich approximation implemented with a virialization scheme for the very dense fluctuations. The results are quite different from those found in the linear regime with strong implications for the normalization of the power spectrum of the initial density fluctuations. The nonlinear two-point correlation function is also calculated for matter with an initial spectrum (equivalent to white noise in 3D) of fluctuations; differences from the linear approximation appear at scales much larger than those considered previously of 10/h Mpc.

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