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$N$-body cosmological simulations are an essential tool to understand the observed distribution of galaxies. We use the MultiDark simulation suite, run with the Planck cosmological parameters, to revisit the mass and velocity functions. At…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-16 Johan Comparat , Francisco Prada , Gustavo Yepes , Anatoly Klypin

N-body simulations have demonstrated a correlation between the properties of haloes and their environment. In this paper, we assess whether the ellipsoidal collapse model can produce a similar dependence. First, we explore the statistical…

Astrophysics · Physics 2009-11-13 Vincent Desjacques

We present a new definition of cosmic void and a publicly available code with the algorithm that implements it. Underdense regions are defined as free-form objects, called popcorn voids, made from the union of spheres of maximum volume with…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-26 Dante J. Paz , Carlos M. Correa , Sebastián R. Gualpa , Andres N. Ruiz , Carlos S. Bederián , R. Dario Graña , Nelson D. Padilla

We use an array of high-resolution N-body simulations to determine the mass function of dark matter haloes at redshifts 10-30. We develop a new method for compensating for the effects of finite simulation volume that allows us to find an…

Astrophysics · Physics 2008-11-26 Darren Reed , Richard Bower , Carlos Frenk , Adrian Jenkins , Tom Theuns

We investigate the spherical collapse model and the abundance of galaxy clusters in a class of degenerate higher-order scalar--tensor (DHOST) theories in which gravitational waves do not decay into scalar perturbations and which are…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-15 Sakdithut Jitpienka , Khamphee Karwan , David F. Mota

Measuring the distribution of mass on galaxy cluster scales is a crucial test of the Lambda CDM model, providing constraints on the nature of dark matter. Recent work investigating mass distributions of individual galaxy clusters using…

Astrophysics · Physics 2009-11-11 V. Corless , L. King

A dark matter halo is commonly defined as a spherical overdensity of matter with respect to a reference density, such as the critical density or the mean matter density of the Universe. Such definitions can lead to a spurious…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-12 Benedikt Diemer , Surhud More , Andrey Kravtsov

Bias models relating the dark matter field to the spatial distribution of halos are widely used in current cosmological analyses. Many models predict halos purely from the local Eulerian matter density, yet bias models in perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-18 Deaglan J. Bartlett , Matthew Ho , Benjamin D. Wandelt

The simplest models of dark matter halo formation are based on the heuristic assumption, motivated by spherical collapse, that virialized haloes originate from initial regions that are maxima of the smoothed density field. Here, we replace…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-28 Marcello Musso , Ravi K. Sheth

We present a new theory for the hierarchical clustering of dark matter (DM) halos based on stochastic differential equations, that constitutes a change of perspective with respect to existing frameworks (e.g., the excursion set approach);…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-18 Andrea Lapi , Luigi Danese

We present a pedagogical review of the halo model, a flexible framework that can describe the distribution of matter and its tracers on non-linear scales for both conventional and exotic cosmological models. We start with the premise that…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-08 Marika Asgari , Alexander J. Mead , Catherine Heymans

In this work we review the theory of the spherical collapse model and critically analyse the aspects of the numerical implementation of its fundamental equations. By extending a recent work by Herrera et al. 2017, we show how different…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-21 Francesco Pace , Sven Meyer , Matthias Bartelmann

The halo model provides a powerful framework for interpreting galaxy clustering by linking the spatial distribution of dark matter haloes to the underlying matter distribution. A key assumption within the halo bias approximation of the halo…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-02 Emy Mons , Vipul Prasad Maranchery , M. S. Suryan Sivadas , Charles Jose

We investigate an analog model of charged black hole (BH) formation using the framework of classical percolation. By analyzing the scaling behavior of key quantities, including surface gravity and Komar mass, we establish a robust…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Nitesh Jaiswal , S. Shankaranarayanan

The predicted mass function of dark matter halos is essential in connecting observed galaxy cluster counts and models of galaxy clustering to the properties of the primordial density field. We determine the mass function in the concordance…

Astrophysics · Physics 2011-02-11 Michael S. Warren , Kevork Abazajian , Daniel E. Holz , Luis Teodoro

Context. The assembly history of the stellar component of a massive elliptical galaxy is closely related to that of its dark matter halo. Measuring how the properties of galaxies correlate with their halo mass can help understand their…

We present a detailed analysis of dark matter halo shapes, studying how the distributions of ellipticity, prolateness and axial ratios evolve as a function of time and mass. With this purpose in mind, we analysed the results of three…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Giulia Despali , Carlo Giocoli , Giuseppe Tormen

Measuring the density profile and mass concentration of dark-matter haloes is a key test of the standard cold dark matter paradigm. Such objects are dark and thus challenging to characterise, but they can be studied via gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-07 S. Vegetti , S. D. M. White , J. P. McKean , D. M. Powell , C. Spingola , D. Massari , G. Despali , C. D. Fassnacht

The top-hat spherical collapse model (TSC) is one of the most fundamental analytical frameworks to describe the non-linear growth of cosmic structure. TSC has motivated, and been widely applied in, various researches even in the current era…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-20 Daichi Suto , Tetsu Kitayama , Ken Osato , Shin Sasaki , Yasushi Suto

Spontaneous collapse models aim to solve the long-standing measurement problem in quantum mechanics by modifying the theory's dynamics to include objective wave function collapses. These collapses occur randomly in space, bridging the gap…

Quantum Physics · Physics 2025-07-23 Nicolò Piccione , Angelo Bassi