A Lagrangian dynamical theory for the mass function of cosmic structures -- I. Dynamics
نویسندگان
چکیده
منابع مشابه
A Lagrangian Dynamical Theory for the Mass Function of Cosmic Structures: I Dynamics
A new theory for determining the mass function of cosmic structures is presented. It relies on a realistic treatment of collapse dynamics. Gravitational collapse is analyzed in the Lagrangian perturbative framework. Lagrangian perturbations provide an approximation of truncated type, i.e. small-scale structure is filtered out. The collapse time is suitably defined as the instant at which orbit ...
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The statistical tools needed to obtain a mass function from realistic collapse time estimates are presented. Collapse dynamics has been dealt with in paper I by means of the powerful Lagrangian perturbation theory and the simple ellipsoidal collapse. The basic quantity considered here is the inverse collapse time F ; it is a non-linear functional of the initial potential, with a non-Gaussian di...
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Non-linear dynamics and mass function of cosmic structures I. Analytical results
We investigate some modifications to the Press & Schechter (1974) (PS) prescription resulting from shear and tidal effects. These modifications rely on more realistic treatments of the collapse process than the standard approach based on the spherical model. First, we show that the mass function resulting from a new approximate Lagrangian dynamic (Audit & Alimi 1996), contains more objects at h...
متن کاملNon-linear dynamics and mass function of cosmic structures II. Numerical results
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 alg...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 1997
ISSN: 0035-8711,1365-2966
DOI: 10.1093/mnras/287.4.753