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Related papers: The mass and temperature functions in a moving bar…

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Aims. We aim to study the stochastic evolution of the smoothed overdensity $\delta$ at scale $S$ of the form $\delta(S) = \int_{0}^S K(S,u)\mathrm{d}W(u)$, where $K$ is a kernel and $\mathrm{d}W$ is the usual Wiener process. Methods. For a…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-23 Nicos Hiotelis , Antonino Del Popolo

We study halo mass functions with the Press-Schechter formalism for interacting dark matter models, where matter power spectra are damped due to dark acoustic oscillations in the early universe. After adopting a smooth window function, we…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-18 Omid Sameie , Andrew J. Benson , Laura V. Sales , Hai-Bo Yu , Leonidas A. Moustakas , Peter Creasey

Context. While the halo mass function is theoretically a very sensitive measure of cosmological models, masses of dark-matter halos are poorly defined, global, and unobservable quantities. Aims. We argue that local, observable quantities…

Astrophysics · Physics 2014-11-18 Christian Angrick , Matthias Bartelmann

We combine data from a number of N-body simulations to predict the abundance of dark halos in Cold Dark Matter universes over more than 4 orders of magnitude in mass. A comparison of different simulations suggests that the dominant…

We construct an analytic formalism for the mass function of cold dark matter halos, assuming that there is a break in the hierarchical merging process. According to this {\it broken-hierarchy} scenario, due to the inherent nature of the…

Astrophysics · Physics 2007-05-23 Jounghun Lee

I study the joint effect of dynamical friction, tidal torques and cosmological constant on clusters of galaxies formation I show that within high-density environments, such as rich clusters of galaxies, both dynamical friction and tidal…

Astrophysics · Physics 2009-11-13 Antonino Del Popolo

We evaluate the mass function of virialized halos, by using Press & Schechter (PS) and/or Steth & Tormen (ST) expressions, for cosmologies where Dark Energy (DE) is due to a scalar self-interacting field, coupled with Dark Matter (DM). We…

Astrophysics · Physics 2008-11-26 Roberto Mainini , Silvio Bonometto

I derive the mass-temperature relation and its time evolution for clusters of galaxies in different cosmologies by means of two different models. The first one is a modification and improvement of a model by Del Popolo & Gambera(1999),…

Astrophysics · Physics 2009-11-07 A. Del Popolo

The Press--Schechter, excursion set approach allows one to make predictions about the shape and evolution of the mass function of bound objects. It combines the assumption that objects collapse spherically with the assumption that the…

Astrophysics · Physics 2008-11-26 Ravi K. Sheth , H. J. Mo , Giuseppe Tormen

We present a new collapse condition to describe the formation of dark halos via nonspherical gravitational clustering. This new nonspherical collapse condition is obtained by the logical generalization of the spherical model to the…

Astrophysics · Physics 2009-10-31 Tzihong Chiueh , Jounghun Lee

The excursion set theory based on spherical or ellipsoidal gravitational collapse provides an elegant analytic framework for calculating the mass function and the large-scale bias of dark matter haloes. This theory assumes that the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Chung-Pei Ma , Michele Maggiore , Antonio Riotto , Jun Zhang

We have made a detailed comparison of the results of large N-body simulations with the analytical description of the merging histories of dark matter halos presented in Lacey & Cole 1993, which is based on an extension of the Press-…

Astrophysics · Physics 2015-06-24 Cedric Lacey , Shaun Cole

The mass distribution of dark matter halos is a sensitive probe of primordial non-Gaussianity (NG). We derive an analytical formula of the halo mass function by perturbatively computing excursion set path-integrals for a non-Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-15 Ixandra Achitouv , Pier Stefano Corasaniti

The claimed detection of large amounts of substructure in lensing flux anomalies, and in Milky Way stellar stream gaps statistics, has lead to a step change in constraints on simple warm dark matter models. In this study we compute…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-20 M. R. Lovell

In a recent study by Euclid collaboration, the halo mass function (HMF) has been fitted with accuracy better than $1\%$ for the $\Lambda$CDM model. Several parameters were introduced and fitted against N-body simulations, assuming the usual…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-08 Ronaldo C. Batista

The excursion set theory of halo formation is modified by adopting the fractional Brownian motion, to account for possible correlation between merging steps. We worked out analytically the conditional mass function, halo merging rate and…

Astrophysics · Physics 2009-11-13 Jun Pan , Yougang Wang , Xuelei Chen , Luis Teodoro

The universality of the halo mass function is investigated in the context of dark energy cosmologies. This widely used approximation assumes that the mass function can be expressed as a function of the matter density omega_m and the rms…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 J. Courtin , Y. Rasera , J. -M. Alimi , P. -S. Corasaniti , V. Boucher , A. Fuzfa

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

I review the excursion set theory (EST) of dark matter halo formation and clustering. I recount the Press-Schechter argument for the mass function of bound objects and review the derivation of the Press-Schechter mass function in EST. The…

Astrophysics · Physics 2008-11-26 Andrew R. Zentner

A modified version of the extended Press-Schechter model for the growth of dark-matter haloes was introduced in two previous papers with the aim at explaining the mass-density relation shown by haloes in high-resolution cosmological…

Astrophysics · Physics 2009-11-07 A. Raig , G. Gonzalez-Casado , E. Salvador-Sole