Nonaxisymmetric three-dimensional instability in thin accretion disks
Journal
Astrophysical Journal
Journal Volume
435
Journal Issue
1
Pages
379-388
Date Issued
1994
Author(s)
Tseng, Y.-H.
Abstract
Nonspherical collapse is modeled, under the Zeldovich approximation, by six-dimensional random walks of the initial deformation tensor field. The collapse boundary adopted here is a slightly modified version of that proposed by Chiueh and Lee. Not only does the mass function agree with the fitting formula of Sheth and Tormen, but the bias function and conditional mass function constructed by this model are also found to agree reasonably well with the simulation results of Jing and Somerville et al., respectively. In particular, by introducing a small mass gap, we find a fitting formula for the conditional mass function, which works well even at small time intervals between parent and progenitor halos during the merging history.
SDGs
Type
journal article