The large-scale structure in a universe dominated by cold plus hot dark matter.

Using numerical simulations, we investigate the large-scale gravitational clustering in a flat universe dominated by cold plus hot dark matter (i.e. {OMEGA}_0_={OMEGA}_CDM_+{OMEGA}_HDM+{OMEGA}_baryon=1). Primordial density fluctuation spectrum is taken to have the Zel'dovich-Harrison form. Three models are studied, with Model I having {OMEGA}_CDM_=0.69, {OMEGA}_baryon_=0.01 and {OMEGA}_HDM_=0.30 in one flavor of neutrinos; Model II having {OMEGA}_CDM_=0.60, {OMEGA}_baryon_= 0.10, and {OMEGA}_HDM_=0.30 in one flavor of neutrinos; Model III having {OMEGA}_CDM_=0.69, {OMEGA}-baryon_=0.01, and {OMEGA}_HDM_=0.30 in three flavors of neutrinos. The initial density spectra are normalized by the COBE quadrupole measurement, and galaxies are identified from the peaks of initial density fields above a certain threshold chosen, to match the observed two-point correlation on scales <~10h^-1^ Mpc. Thus the clustering properties of both the mass and the galaxies are completely specified. The biasing parameter (for the "galaxies") determined in this way is b_g_~1.2 for Model I, 1.5 for Model II and 1.6 for Model III. The clustering and motions of the simulated "galaxies" are compared with recent observations. The spatial distributions of galaxies in the hybrid models are very frothy; filaments, sheets, voids etc. of sizes 10-50h^-1^ Mpc are frequently seen in the simulations. All three models are in good agreement with the observed local bulk motions and with the count-in-cell statistics σ^2^(l) in redshift surveys of IRAS galaxies. One exception is the σ^2^(l) of the QDOT survey at l=40h^-1^ Mpc: the value is too high to expect in the models. But its statistical significance was recently questioned with an analysis of the 1.2 Jy IRAS survey. Model I does not have sufficient large-scale power to explain the two-point correlation function of Abell clusters. Furthermore, its galaxy pairwise velocity dispersion around 1h^-1^ MpC is too high to reconcile with the observation. The other two models can be adjusted, within the observational errors, to fit all observations on scales from ~1h^-1^ Mpc to ~50h^-1^ Mpc, showing that the power spectrum of the initial density fluctuation is close to the predictions of these two models, and indicating that the observational results of galaxy clustering and motions on large scales are consistent under some reasonable theoretical assumptions.