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Open Astronomy

formerly Baltic Astronomy

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Volume 26, Issue 1


A precise mass function in the excursion set approach

Antonino Del Popolo
  • Dipartimento di Fisica e Astronomia, University Of Catania, Viale Andrea Doria 6, 95125, Catania, Italy
  • INFN sezione di Catania, Via S. Sofia 64, I- 95123 Catania, Italy
  • International Institute of Physics, Universidade Federal do Rio Grande do Norte, 59012-970 Natal, Brazil
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2017-06-27 | DOI: https://doi.org/10.1515/astro-2017-0004


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 × 109 − 5 × 1014h−1M, and 0 ≾ z ≿ 10. Similar agreement is obtained with Tinker’s mass function, and Castorina’s simulations.

Keywords : cosmology: theory - large scale structure of Universe - galaxies: formation


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About the article

Received: 2017-03-09

Accepted: 2017-05-04

Published Online: 2017-06-27

Published in Print: 2017-04-25

Citation Information: Open Astronomy, Volume 26, Issue 1, Pages 26–34, ISSN (Online) 2543-6376, DOI: https://doi.org/10.1515/astro-2017-0004.

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© 2017. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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