70 research outputs found
Density profiles in a spherical infall model with non-radial motions
A generalized version of the Spherical Infall Model (SIM) is used to study the effect of angular momentum on the final density profile of a spherical structure. The numerical method presented is able to handle a variety of initial density profiles (scale or not scale free) and no assumption of self-similar evolution is required. The realistic initial overdensity profiles used are derived by a CDM power spectrum. We show that the amount of angular momentum and the initial overdensity profile affect the slope of the final density profile at the inner regions. Thus, a larger amount of angular momentum or shallower initial overdensity profiles lead to shallower final density profiles at the inner regions. On the other hand, the slope at the outer regions is not affected by the amount of angular momentum and has an almost constant value equal to that predicted in the radial collapse case
The velocity field of collapsing spherical structures. Limitations of the spherical infall model in mass estimation
We assume that the amplitude of the caustics in redshift space is a sum of two components: the first one can be predicted by the spherical infall model with no random motion, and the second is due to the random motion distribution. Smooth model curves are used to estimate the maximum values of the first component for the Coma cluster. Then, an approximation of the radial component of the infall velocity --based on the above curves-- is derived and a mass profile of the cluster is calculated. This mass profile, that is an upper limit for the spherical infall model, combined with estimations given by other authors provides an approximation of a lower limit for the mass of the system
Merger rates of dark matter haloes: a comparison between EPS and N-body results
We calculate merger rates of dark matter haloes using the Extended
Press-Schechter approximation (EPS) for the Spherical Collapse (SC) and the
Ellipsoidal Collapse (EC) models.
Merger rates have been calculated for masses in the range
to and for
redshifts in the range 0 to 3 and they have been compared with merger rates
that have been proposed by other authors as fits to the results of N-body
simulations. The detailed comparison presented here shows that the agreement
between the analytical models and N-body simulations depends crucially on the
mass of the descendant halo. For some range of masses and redshifts either SC
or EC models approximate satisfactory the results of N-body simulations but for
other cases both models are less satisfactory or even bad approximations. We
showed, by studying the parameters of the problem that a disagreement --if it
appears-- does not depend on the values of the parameters but on the kind of
the particular solution used for the distribution of progenitors or on the
nature of EPS methods.
Further studies could help to improve our understanding about the physical
processes during the formation of dark matter haloes.Comment: 29 pages, 9 figure
Extended Press-Schechter theory and the density profiles of dark matter haloes
An inside-out model for the formation of haloes in a hierarchical clustering
scenario is studied. The method combines the picture of the spherical infall
model and a modification of the extended Press-Schechter theory. The mass
accretion rate of a halo is defined to be the rate of its mass increase due to
minor mergers. The accreted mass is deposited at the outer shells without
changing the density profile of the halo inside its current virial radius. We
applied the method to a flat Universe. The resulting density
profiles are compared to analytical models proposed in the literature, and a
very good agreement is found. A trend is found of the inner density profile
becoming steeper for larger halo mass, that also results from recent N-body
simulations. Additionally, present-day concentrations as well as their time
evolution are derived and it is shown that they reproduce the results of large
cosmological N-body simulations.Comment: 9 pages, 7 figures, accepted for publication in MNRA
Dark matter density profiles from the Jeans equation
We make a simple analytical study of radial profiles of dark matter
structures, with special attention to the question of the central radial
density profile. We let our theoretical assumptions be guided by results from
numerical simulations, and show that at any radius where both the radial
density profile, rho, and the phase-space-like density profile,
rho/sigma^epsilon, are exact power laws, the only allowed density slopes in
agreement with the spherical symmetric and isotropic Jeans equation are in the
range 1< beta <3, where beta = - dln(rho)/dln(r). We also allow for a radial
variation of these power laws, as well as anisotropy, and show how this allows
for more shallow central slopes.Comment: 4 pages, no figures, minor typos correcte
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