Non-linear dynamics and mass function of cosmic structures: II. Numerical results

Edouard Audit, Romain Teyssier, Jean Michel Alimi

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


We compare the mass functions obtained analytically, in the framework of an extended Press & Schechter (PS) formalism, in a previous paper to the numerical mass functions obtained in N - body simulations, using different algorithms to define objects in the density field. After discussing the properties of the algorithms, we show that the mass function obtained using the friend - of- friend algorithm reproduces best the scaling behaviors predicted in the extended PS formalism. Following this statistical analysis, we show that it is possible in the framework of our extended PS formalism to reproduce the mass function but also, and for the first time, the initial statistical properties of structures and their collapse time. This allow to present a "coherent" picture of structure formation which can account for the initial, final and dynamical properties of structures.

Original languageEnglish (US)
Pages (from-to)779-789
Number of pages11
JournalAstronomy and Astrophysics
Issue number3
StatePublished - 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science


  • Cosmology: theory
  • Gravitation
  • Large-scale structure of universe
  • Methods: numerical


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