The Confluent System Formalism: II. The Growth History of Objects

Abstract

With the present paper we conclude the presentation of a semianalytical model of hierarchical clustering of bound virialized objects formed by gravitational instability from a random Gaussian field of density fluctuations. In paper I, we introduced the basic tool, the so-called ``confluent system'' formalism, able to follow the evolution of bound virialized objects in the peak model. This was applied to derive the mass function of objects. In the present paper, we calculate other important quantities characterizing the growth history of objects. This model is compared with a similar one obtained by Lacey \& Cole (1993) following the Press \& Schechter (1974) approach. The interest of the new modeling presented here is twofold: 1) it is formally better justified as far as peaks are more reasonable seeds of objects than the indetermined regions in the Press \& Schechter prescription, and 2) it distinguishes between merger and accretion enabling us to unambiguously define the formation and destruction of objects and to estimate growth rates and characteristic times not available in the previous approach.

arXiv commentLatex file (aasptwo.sty and epsf.sty macros included), 26 pages and 6 ps figures (one new). Revised version accepted for publication in The Astrophysical Journal (to appear in August 20 1996, Vol. 467)

Cited by in corpus (28)

• An excursion set model of hierarchical clustering: Ellipsoidal collapse and the moving barrier
• Large-Scale Galaxy Bias
• Infall Regions of Galaxy Clusters
• Evidence for X-ray emission from a large-scale filament of galaxies ?
• On Formation and Evolution of Disk Galaxies: Cosmological Initial Conditions and the Gravitational Collapse
• Dynamics of triple black hole systems in hierarchically merging massive galaxies
• Orbital structure of merger remnants: Trends with gas fraction in 1:1 mergers
• Merger vs. Accretion and the Structure of Dark Matter Halos
• Formation of Sub-galactic Clouds under UV Background Radiation
• The Peaks Formalism and the Formation of Cold Dark Matter Haloes
• The imprint of dissipation on the shapes of merger remnant LOSVDs
• Theoretical dark matter halo density profile
• Statistics of Merging Peaks of Random Gaussian Fluctuations: Skeleton Tree Formalism
• The Effects of the Peak-Peak Correlation on the Peak Model of Hierarchical Clustering
• Testing the Modified Press-Schechter Model against N-Body Simulations
• When do cosmic peaks, filaments or walls merge? A theory of critical events in a multi-scale landscape
• Scaling Evolution of Universal Dark-Matter Halo Density Profiles
• An Accurate Comprehensive Approach to Substructure: I. Accreted Subhaloes
• Isotropic extragalactic flux from dark matter annihilations: lessons from interacting dark matter scenarios
• Culminating the peak CUSP to descry the dark side of halos
• Theoretical dark matter halo kinematics and triaxial shape
• A solution to the problems of cusps and rotation curves in dark matter halos in the cosmological standard model
• Extended Press-Schechter theory and the density profiles of dark matter haloes
• An Accurate Comprehensive Approach to Substructure: II. Stripped Subhaloes
• An Accurate Comprehensive Approach to Substructure: III. Masses and Formation Times of the Host Haloes
• MUSCLE-UPS: Improved Approximations of the Matter Field with the Extended Press-Schechter Formalism and Lagrangian Perturbation Theory
• Accurate Analytic Mass-Scale Relations for Dark Matter Haloes of all Masses and Redshifts
• An Accurate Comprehensive Approach to Substructure: IV. Dynamical Friction