Clustering in the Zel'dovich approximation

Abstract

The evolution of the spatial correlation function is studied using the Zel'dovich solution. The calculations for two different scale-free spectra [P(k) k n , n = 1, −2] filtered with a Gaussian window function lead to the conclusions that first zero-crossing occurs at a larger scale compared to linear theory, and the amplitude and slope are slightly greater when nonlinear effects are included, although the differences are small for relevant scales where the amplitude is above 0.1.