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Related papers: The Cosmological Mass Function in the Zel'dovich A…

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We calculate the maximum fraction of matter which is able to condense out of the expanding background universe, for any universe which will expand forever. We use a simple spherical model for the growth of density fluctuations in the…

Astrophysics · Physics 2007-05-23 Hugo Martel , Paul R. Shapiro

Astrophysicists do not associate galaxies with the massive dark matter halos so easily detected in particle simulations and whose mass function can be predicted by the Press-Schechter formalism and its variants. Instead, they associate…

Astrophysics · Physics 2007-05-23 Michael R. Blanton

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…

Astrophysics · Physics 2011-05-23 Edouard Audit , Romain Teyssier , Jean-Michel Alimi

We study the nonlinear evolution of matter overdensities using the spherical collapse model in degenerate higher-order scalar-tensor (DHOST) theories beyond Horndeski, employing the effective field theory (EFT) of dark energy approach. We…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-18 Toshiki Takadera , Takashi Hiramatsu , Tsutomu Kobayashi

We investigate the mass functions of different elements of the Large Scale Structure -- walls, pancakes, filaments and clouds -- and the impact of transverse motions -- expansion and/or compression -- on their statistical characteristics.…

Astrophysics · Physics 2007-05-23 Demianski , Doroshkevich

The nature of structure formation around the particle free streaming scale is still far from understood. Many attempts to simulate hot, warm, and cold dark matter cosmologies with a free streaming cutoff have been performed with…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Aurel Schneider , Robert E. Smith , Darren Reed

An inside-out model for the formation of haloes in a hierarchical clustering scenario is studied. The method combines the picture of the spherical infall model and a modification of the extended Press-Schechter theory. The mass accretion…

Astrophysics · Physics 2009-11-07 Nicos Hiotelis

In cosmology, a basic explanation of the observed concentration of mass in singular structures is provided by the Zeldovich approximation, which takes the form of free-streaming flow for perturbations of a uniform Einstein-de Sitter…

Analysis of PDEs · Mathematics 2025-12-18 Jian-Guo Liu , Robert L. Pego

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…

Astrophysics · Physics 2011-05-23 Edouard Audit , Romain Teyssier , Jean-Michel Alimi

This thesis aims to review the cosmological mass function problem, both from the theoretical and the observational point of view, and to present a new mass function theory, based on realistic approximations for the dynamics of gravitational…

Astrophysics · Physics 2007-05-23 Pierluigi Monaco

Hydrodynamical simulations are used in combination with the Press-Schechter expression to simulate Sunyaev-Zel'dovich (SZ) galaxy cluster sky maps. These are used to gauge the ability of future SZ observations to provide information about…

Astrophysics · Physics 2007-05-23 Ruediger Kneissl

In the ellipsoidal collapse model, the critical density for the collapse of a gravitationally bound object is a function of its mass. In the excursion set formalism, this translates into a moving barrier problem such that the mass function…

Astrophysics · Physics 2007-05-23 Asim Mahmood , R. Rajesh

We carry out N-body simulations of several non-Gaussian structure formation models, including Peebles' isocurvature cold dark matter model, cosmic string models, and a model with primordial voids. We compare the evolution of the cluster…

Astrophysics · Physics 2009-10-31 James Robinson , Jonathan E. Baker

We discuss the influence of the cosmological background density field on the spherical infall model. The spherical infall model has been used in the Press-Schechter formalism to evaluate the number abundance of clusters of galaxies, as well…

Astrophysics · Physics 2009-10-31 A. Taruya , J. Soda

It is well known that the mass function for_halos_ in CDM cosmology is a relatively steep power law for low masses, possibly too steep to be consistent with observations. But how steep is the_galaxy_ mass function? We have analyzed the…

Astrophysics · Physics 2009-11-06 Weihsueh A. Chiu , Nickolay Y. Gnedin , Jeremiah P. Ostriker

The formalism by Press and Schechter (PS) is often used to infer number densities of virialized objects of mass M (e.g. quasars, galaxies, clusters of galaxies, etc.) from a count of initially overdense regions in a Gaussian density…

Astrophysics · Physics 2009-10-22 K. Jedamzik

We study the spherical collapse model in the presence of quintessence with negligible speed of sound. This case is particularly motivated for w<-1 as it is required by stability. As pressure gradients are negligible, quintessence follows…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Paolo Creminelli , Guido D'Amico , Jorge Noreña , Leonardo Senatore , Filippo Vernizzi

We present some preliminary results from a series of extremely large, high-resolution N-body simulations of the formation of early nonlinear structures. We find that the high-z halo mass function is inconsistent with the Sheth-Tormen mass…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Ilian T. Iliev , Kyungjin Ahn , Jun Koda , Paul R. Shapiro , Ue-Li Pen

If a magnetic field is frozen into a plasma that undergoes spherical compression then the magnetic field B varies with the plasma density \rho according to B \propto \rho^{2/3}. In the gravitational collapse of cosmological density…

Astrophysics · Physics 2007-05-23 Emma J. King , Peter Coles

We modify the Press-Schechter formalism to calculate the mass function of gravitationally bounded objects in a local Universe with size $L> 10h^{-1}$Mpc, i.e. separately in voids ($\Omega_{m,L}<\Omega_m$) and superclusters…

Astrophysics · Physics 2007-05-23 N. A. Arhipova , V. N. Lukash , B. V. Komberg , E. V. Mikheeva