Some improvements to the spherical collapse model

Abstract

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 torques slows down the collapse of low-? peaks producing an observable variation in the time of collapse of the perturbation and, as a consequence, a reduction in the mass bound to the collapsed perturbation Moreover, the delay of the collapse produces a tendency for less dense regions to accrete less mass, with respect to a classical spherical model, inducing a biasing of over-dense regions toward higher mass I show how the threshold of collapse is modified if dynamical friction, tidal torques and a non-zero cosmological constant are taken into account and I use the Extended Press Schecter (EPS) approach to calculate the effects on the mass function Then, I compare the numerical mass function given in Reed et al (2003) with the theoretical mass function obtained in the present paper I show that the barrier obtained in the present paper gives rise to a better description of the mass function evolution with respect to other previous models (Sheth & Tormen 1999, MNRAS, 308, 119 (hereafter ST); Sheth & Tormen 2002, MNRAS, 329, 61 (hereafter ST1))

References in corpus (23)

• Large scale bias and the peak background split
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• Mass function of dark matter halos
• An excursion set model of hierarchical clustering: Ellipsoidal collapse and the moving barrier
• Merger rates in hierarchical models of galaxy formation. II: Comparison with N-body simulations
• Evolution of the angular momentum of protogalaxies from tidal torques: Zel'dovich approximation
• Evolution of the Mass Function of Dark Matter Haloes
• An Analytical Model for the Triaxial Collapse of Cosmological Perturbations
• The Cosmological Mass Distribution Function in the Zel'dovich Approximation
• Non-linear evolution of the angular momentum of protostructures from tidal torques
• The forest of merger history trees associated with the formation of dark matter halos
• The Mass Function of Cosmic Structures with Non-Spherical Collapse
• Gravitational Instability of Cold Matter
• A Lagrangian Dynamical Theory for the Mass Function of Cosmic Structures: I Dynamics
• A Lagrangian Dynamical Theory for the Mass Function of Cosmic Structures: II Statistics
• Mass Function of Low Mass Dark Halos
• Ellipsoidal collapse and previrialization
• The Las Campanas Distant Cluster Survey -- The Correlation Function
• Previrialization: Perturbative and N-Body Results
• On the evolution of aspherical perturbations in the universe: an analytical model
• On the abundance of collapsed objects
• On the Dynamical Origin of Bias in Clusters of Galaxies
• Bias and Conditional Mass Function of Dark Halos Based on the Nonspherical Collapse Model

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• Small scale problems of the $\Lambda$CDM model: a short review
• Density profiles of dark matter haloes on Galactic and Cluster scales
• Extended Spherical Collapse and the Accelerating Universe
• A high precision semi-analytic mass function
• On the implementation of the spherical collapse model for dark energy models
• Mass-Temperature relation in $\Lambda$CDM and modified gravity
• Dissecting the spin distribution of Dark Matter halos
• Effect of a High-Precision Semi-Analytical Mass Function on the Merger Rate of Primordial Black Holes in Dark Matter Halos
• On the Merger Rate of Primordial Black Holes in Cosmic Voids
• Effects of Rastall parameter on perturbation of dark sectors of the Universe
• Improved Lemaitre-Tolman model and the mass and turn-around radius in group of galaxies II: the role of dark energy
• Improved Lemaitre-Tolman model and the mass and turn-around radius in group of galaxies
• Barions and $\Lambda$CDM Model Problems
• Dynamical friction shear and rotation in Chaplygin cosmology