Lagrangian dynamics and the mass function.

Details Lagrangian dynamics and the mass function. Lagrangian dynamics and the mass function.

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997apl%26c..36..333m&link_type=abstract

Astrophysical Letters and Communications, Vol. 36, Nos. 1 - 6, p. 333 - 338

Astronomy and Astrophysics

Astrophysics

Cosmology: Galaxy Formation, Cosmology: Galaxy Clustering, Galaxies: Mass Function

Scientific paper

The problem of the analytical determination of the mass function is set up in terms of Lagrangian dynamics. The use of the perturbative Lagrangian approach, the definition of collapse and the role of smoothing are discussed. Then first-order calculations, corresponding to the use of the Zel'dovich approximation, are reviewed. The homogeneous ellipsoidal collapse model is introduced. The result of such calculation is an increase of the number of large-mass objects; the resulting mass function is similar, at large masses, to a Press-Schechter function with a parameter δc ≍ 1.5.

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