Testing the Modified Press-Schechter Model against N-Body Simulations

Abstract

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 simulations. In this model major mergers are well separated from accretion, thereby allowing a natural definition of halo formation and destruction. This makes it possible to derive analytic expressions for halo formation and destruction rates, the mass accretion rate, and the probability distribution functions of halo formation times and progenitor masses. The stochastic merger histories of haloes can be readily derived and easily incorporated into semi-analytical models of galaxy formation, thus avoiding the usual problems encountered in the construction of Monte Carlo merger trees from the original extended Press-Schechter formalism. Here we show that the predictions of the modified Press-Schechter model are in good agreement with the results of N-body simulations for several scale-free cosmologies.

17 pages including 7 figures, MNRAS in press

References in corpus (4)

• Hierarchical Galaxy Formation
• Mass function of dark matter halos
• A Comparison of Simulated and Analytic Major Merger Counts
• An analytic model for the epoch of halo creation

Cited by in corpus (16)

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• The Formation Histories of Galaxy Clusters
• On the Origin of the Inner Structure of Halos
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• Major Mergers of Haloes, Growth of Massive Black Holes and Evolving Luminosity Function of Quasars
• Lensing effects of misaligned disks in dark matter halos
• Constraining the epoch of reionization from the observed properties of the high-z Universe
• Source Mergers and Bubble Growth During Reionization
• Culminating the peak CUSP to descry the dark side of halos
• Implications of Halo Inside-out Growth on the X-Ray Properties of Nearby Galaxy Systems within the Preheating Scenario
• A solution to the problems of cusps and rotation curves in dark matter halos in the cosmological standard model
• Leaving the dark ages with AMIGA
• An Accurate Comprehensive Approach to Substructure: III. Masses and Formation Times of the Host Haloes
• Accurate Analytic Mass-Scale Relations for Dark Matter Haloes of all Masses and Redshifts
• An Accurate Comprehensive Approach to Substructure: IV. Dynamical Friction