A Lagrangian dynamical theory for the mass function of cosmic structures — II. Statistics
نویسندگان
چکیده
منابع مشابه
A Lagrangian Dynamical Theory for the Mass Function of Cosmic Structures: II Statistics
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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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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Non-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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Colombi et al. 1999 (paper I) investigated the counts-in-cells statistics and their respective errors in the τCDM Virgo Hubble Volume simulation. This extremely large N -body experiment also allows a numerical investigation of the cosmic distribution function, Υ(Ã) itself for the first time. For a statistic A, Υ(Ã) is the probability density of measuring the value à in a finite galaxy catalog. ...
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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/290.3.439