Matter Distribution for Power Spectra with Broken Scale Invariance

To test the primordial power spectra predicted by a double inflationary model with a break of amplitude Δ = 3 at a scale of 2π/k ≈ 10 h⁻¹ Mpc and cold dark matter (CDM) as dominant matter content, we perform particle-mesh simulations with 128³ particles on a 256³ grid. The broken scale invariance of the power spectra explains the extra power observed in the large-scale matter distribution. COBE-normalized spectra and a linear biasing with β ≈ 2 are shown to reproduce the reconstructed power spectra from the CfA catalog. By identifying galactic halos with a random selection of particles in overdensity regions of approximately 2 times the cell variance, we can fit the angular correlation function using both the Limber equation and creating an APM-like angular projection with the observed luminosity function. Finally, the higher order moments of the galaxy distribution are shown to fit reasonably well the observed values.