Comparison of Annalytical Mass Functions with Numerical Simulations
Abstract
We test the Lee-Shandarin (LS) and the Press-Schechter (PS) mass functions against large N-body simulations for a scale-free power spectrum with spectral index n = -1. We use the Tormen mass function for numerical testing data which was obtained from N-body simulations of unprecedented high resolution. The LS theory is an extended PS theory to a nonspherical model, assuming that the underlying dynamics for gravitational clustering process can be described by the Zel'dovich approximation while the original PS theory is based on the dynamics of the top-hat spherical model. By making a best-fit comparison between the analytical mass functions and the numerical results, we demonstrate that the LS mass function provides a much better fit to the experimental mass functions. Especially in the high mass section the LS mass function agrees with the numerical results remarkably well. Thus we conclude that the LS theory improves the PS theory not only dynamically but also statistically, suggesting a wide test and application of the LS mass function.Keywords
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