1998/11/30 by Jounghun Lee, Sergei F. Shandarin, S. F. Shandarin · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Scientific Research and Discoveries #astro-ph
paper · pdf · doi:10.1086/312012
Revised version. Accepted by ApJ Letter. Significantly improved. Numerical test for the SCDM model included. 14 pages, Latex file, 2 psfigs
arxiv created 1999/03/24 · openalex publication_date 1999/05/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
We present numerical testing results of our mass function derived in our previous paper and compare the testing results with those of the popular Press-Schechter (PS) mass function. Two fiducial models are considered for the test: the scale-free power-law spectra P ( k )∝ k n with spectral indices n =-1, 0 and the standard cold dark matter (SCDM) model with Ω=1 and h =0.5. For the power-law models, we use numerical data averaged over several different output times: 10 output times from two N -body realizations for the n =-1 power-law model; four outputs from one realization for the n =0 model. For the SCDM model, we consider four outputs separately at redshifts z =0, 0.43, 1.14, and 1.86 from one large N -body simulation. The comparison results show that our mass function fits the numerical data in a much improved way over the PS one. Thus, we expect that our mass function can be a viable alternative of the PS mass function in applications to various areas.