Non-spherical collapse and the analytical mass function.

Details Non-spherical collapse and the analytical mass function. Non-spherical collapse and the analytical mass function.

Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996apl%26c..33...79m&link_type=abstract

Astrophysical Letters and Communications, Vol. 33, Nos. 1 - 5, p. 79 - 84

Astronomy and Astrophysics

Astrophysics

Cosmology: N-Body Simulations

Scientific paper

Non-spherical dynamical approximations and models for gravitational collapse are used to extend the well-known Press & Schechter (PS) approach, in order to determine analytical expressions for the mass function of cosmic structures. The problem is rigorously set up by considering the intrinsic Lagrangian nature of the mass function. The Zel'dovich approximation (ZEL), a ZEL-based model and the homogeneous ellipsoidal collapse model are used to predict the collapse time of a mass element. It results that more large-mass objects are expected to form than the usual PS relation. In particular, it can be dynamically explained why lower δc values are found to fit the results of several N-body simulations.

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