COLD + HOT AND COLD DARK MATTER COSMOLOGIES: ANALYSIS OF NUMERICAL SIMULATIONS

Abstract

We present a series of four simulations of Cold Dark Matter (CDM) and Cold + Hot Dark Matter (CHDM) cosmologies. We discuss the power spectrum and correlation functions in real and redshift space, with comparisons to the CfA2 and IRAS redshift data, the pairwise velocity of galaxies, and the distribution of hot and cold particles in CHDM simulations. We confirm that CHDM with cold/hot/baryon density ratios $Ω_c/Ω_ν/Ω_b= 0.6/0.3/0.1$ is a good fit to a wide variety of present-epoch data, much better than CDM. In particular, with reasonable assumptions about identification of galaxies and biasing, we find that the power spectrum agrees rather well with both the CfA2 and IRAS power specta in both the nonlinear and linear regimes. New CHDM models (e.g., with $Ω_ν=0.2$ or with two massive neutrinos) predict a significantly larger rate of formation of galaxies at high redshift, which may be needed to explain some observational data. At the same time, the difference between the variants is rather small at $z=0$. The results presented in this paper are interesting for two purposes: (i) For a comparison with other classes of models (like CDM and $Λ$CDM) at $z=0$.(ii) As a reference point for comparison between different variants of the CHDM model.