A Cosmological Mass Function with Broken Hierarchy
| dc.creator | Lee, Jounghun | |
| dc.date | 2006-05-29 | |
| dc.date.accessioned | 2026-07-07T07:08:35Z | |
| dc.date.available | 2026-07-07T07:08:35Z | |
| dc.description | 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 gravitational tidal field the formation of massive pancakes precedes that of dark halos of low-mass. In the framework of the Zel'dovich approximation which generically predicts the presence of pancakes, we first derive analytically the conditional probability that a low-mass halo observed at present epoch was embedded in an isolated pancake at some earlier epoch. Then, we follow the standard Press-Schechter approach to count analytically the number density of low-mass halos that formed through anti-hierarchical fragmentation of the massive pancakes. Our mass function is well approximated by a power-law dN/dM = M^{-l} in the mass range 10^{6}M_{sun}/h < M < 10^{10}M_{sun}/h with the slope l=1.86 shallower than that of the currently popular Sheth-Tormen mass function l = 2.1. It is expected that our mass function will provide a useful analytic tool for investigating the effect of broken hierarchy on the structure formation. | |
| dc.description | submitted to ApJL, 11 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0605697 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0605697 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110763 | |
| dc.subject | Astrophysics | |
| dc.title | A Cosmological Mass Function with Broken Hierarchy | |
| dc.type | text |