A precise mass function in the excursion set approach

[摘要] In the present paper, using previous results from Del Popolo papers, we show how the mass function evolution can be obtained in the framework of a spherical collapse model, which has been modified to take account of dynamical friction, the cosmological constant, and angular momentum which proto-structures acquire through tidal interaction with neighbouring ones. We found an improved barrier which is in excellent agreement with simulations. The quoted barrier is used to calculated the mass function. In the case of the ΛCDM paradigm, our mass function is in good agreement (within some %) with the mass function of Klypin’s Bolshoi simulation for the virial mass range 5 × 10 9 − 5 × 10 14 h −1 M ⊙ , and 0 ≾ z ≿ 10. Similar agreement is obtained with Tinker’s mass function, and Castorina’s simulations.

[关键词] cosmology theory;large scale structure of Universe;galaxies formation