16,681 research outputs found
Halo abundances within the cosmic web
We investigate the dependence of the mass function of dark-matter haloes on
their environment within the cosmic web of large-scale structure. A dependence
of the halo mass function on large-scale mean density is a standard element of
cosmological theory, allowing mass-dependent biasing to be understood via the
peak-background split. On the assumption of a Gaussian density field, this
analysis can be extended to ask how the mass function depends on the
geometrical environment: clusters, filaments, sheets and voids, as classified
via the tidal tensor (the Hessian matrix of the gravitational potential). In
linear theory, the problem can be solved exactly, and the result is
attractively simple: the conditional mass function has no explicit dependence
on the local tidal field, and is a function only of the local density on the
filtering scale used to define the tidal tensor. There is nevertheless a strong
implicit predicted dependence on geometrical environment, because the local
density couples statistically to the derivatives of the potential. We compute
the predictions of this model and study the limits of their validity by
comparing them to results deduced empirically from -body simulations. We
have verified that, to a good approximation, the abundance of haloes in
different environments depends only on their densities, and not on their tidal
structure. In this sense we find relative differences between halo abundances
in different environments with the same density which are smaller than 13%.
Furthermore, for sufficiently large filtering scales, the agreement with the
theoretical prediction is good, although there are important deviations from
the Gaussian prediction at small, non-linear scales. We discuss how to obtain
improved predictions in this regime, using the 'effective-universe' approach.Comment: 14 pages, 6 figures. Revision matching journal versio
The Excursion Set Theory of Halo Mass Functions, Halo Clustering, and Halo Growth
I review the excursion set theory (EST) of dark matter halo formation and
clustering. I recount the Press-Schechter argument for the mass function of
bound objects and review the derivation of the Press-Schechter mass function in
EST. The EST formalism is powerful and can be applied to numerous problems. I
review the EST of halo bias and the properties of void regions. I spend
considerable time reviewing halo growth in the EST. This section culminates
with descriptions of two Monte Carlo methods for generating halo mass accretion
histories. In the final section, I emphasize that the standard EST approach is
the result of several simplifying assumptions. Dropping these assumptions can
lead to more faithful predictions and a more versatile formalism. One such
assumption is the constant height of the barrier for nonlinear collapse. I
review implementations of the excursion set approach with arbitrary barrier
shapes. An application of this is the now well-known improvement to standard
EST that follows from the ellipsoidal-collapse barrier. Additionally, I
emphasize that the statement that halo accretion histories are independent of
halo environments is a simplifying assumption, rather than a prediction of the
theory. I review the method for constructing correlated random walks of the
density field in more general cases. I construct a simple toy model with
correlated walks and I show that excursion set theory makes a qualitatively
simple and general prediction for the relation between halo accretion histories
and halo environments: regions of high density preferentially contain
late-forming halos and conversely for regions of low density. I conclude with a
brief discussion of this prediction in the context of recent numerical studies
of the environmental dependence of halo properties. (Abridged)Comment: 62 pages, 19 figures. Review article based on lectures given at the
Sixth Summer School of the Helmholtz Institute for Supercomputational
Physics. Accepted for Publication in IJMPD. Comments Welcom
OMEGA AND BIASING FROM OPTICAL GALAXIES VERSUS POTENT MASS
The mass density field in the local universe, recovered by the POTENT method
from peculiar velocities of 3000 galaxies, is compared with the density
field of optically-selected galaxies. Both density fields are smoothed with a
Gaussian filter of radius 12 Mpc. Under the assumptions of
gravitational instability and a linear biasing parameter b\sbo between
optical galaxies and mass, we obtain \beta\sbo \equiv \om^{0.6}/b\sbo = 0.74
\pm 0.13. This result is obtained from a regression of POTENT mass density on
optical density after correcting the mass density field for systematic biases
in the velocity data and POTENT method. The error quoted is just the
formal error estimated from the observed scatter in the density--density
scatterplot; it does not include the uncertainty due to cosmic scatter in the
mean density or in the biasing relation. We do not attempt a formal analysis of
the goodness of fit, but the scatter about the fit is consistent with our
estimates of the uncertainties.Comment: Final revised version (minor typos corrected). 13 pages, gzipped tar
file containing LaTeX and figures. The Postscript file is available at
ftp://dust0.dur.ac.uk/pub/mjh/potopt/potopt.ps.Z or (gzipped) at
ftp://xxx.lanl.gov/astro-ph/ps/9501/9501074.ps.gz or via WWW at
http://xxx.lanl.gov/ps/astro-ph/9501074 or as separate LaTeX text and
encapsulated Postscript figures in a compressed tar'd file at
ftp://dust0.dur.ac.uk/pub/mjh/potopt/latex/potopt.tar.
Cosmic Dawn and Epoch of Reionization Foreground Removal with the SKA
The exceptional sensitivity of the SKA will allow observations of the Cosmic
Dawn and Epoch of Reionization (CD/EoR) in unprecedented detail, both
spectrally and spatially. This wealth of information is buried under Galactic
and extragalactic foregrounds, which must be removed accurately and precisely
in order to reveal the cosmological signal. This problem has been addressed
already for the previous generation of radio telescopes, but the application to
SKA is different in many aspects.
In this chapter we summarise the contributions to the field of foreground
removal in the context of high redshift and high sensitivity 21-cm
measurements. We use a state-of-the-art simulation of the SKA Phase 1
observations complete with cosmological signal, foregrounds and
frequency-dependent instrumental effects to test both parametric and
non-parametric foreground removal methods. We compare the recovered
cosmological signal using several different statistics and explore one of the
most exciting possibilities with the SKA --- imaging of the ionized bubbles.
We find that with current methods it is possible to remove the foregrounds
with great accuracy and to get impressive power spectra and images of the
cosmological signal. The frequency-dependent PSF of the instrument complicates
this recovery, so we resort to splitting the observation bandwidth into smaller
segments, each of a common resolution.
If the foregrounds are allowed a random variation from the smooth power law
along the line of sight, methods exploiting the smoothness of foregrounds or a
parametrization of their behaviour are challenged much more than non-parametric
ones. However, we show that correction techniques can be implemented to restore
the performances of parametric approaches, as long as the first-order
approximation of a power law stands.Comment: Accepted for publication in the SKA Science Book 'Advancing
Astrophysics with the Square Kilometre Array', to appear in 201
The Peaks Formalism and the Formation of Cold Dark Matter Haloes
We use two cosmological simulations of structure formation to study the
conditions under which dark matter haloes emerge from the linear density field.
Our analysis focuses on matching sites of halo collapse to local density
maxima, or "peaks", in the initial conditions of the simulations and provides a
crucial test of the central ansatz of the peaks formalism. By identifying peaks
on a variety of smoothed, linearly extrapolated density fields we demonstrate
that as many as ~70% of well-resolved dark matter haloes form preferentially
near peaks whose characteristic masses are similar to that of the halo, with
more massive haloes showing a stronger tendency to reside near peaks initially.
We identify a small but significant fraction of haloes that appear to evolve
from peaks of substantially lower mass than that of the halo itself. We refer
to these as "peakless haloes" for convenience. By contrasting directly the
properties of these objects with the bulk of the proto-halo population we find
two clear differences: 1) their initial shapes are significantly flatter and
more elongated than the predominantly triaxial majority, and 2) they are, on
average, more strongly compressed by tidal forces associated with their
surrounding large scale structure. Using the two-point correlation function we
show that peakless haloes tend to emerge from highly clustered regions of the
initial density field implying that, at fixed mass, the accretion geometry and
mass accretion histories of haloes in highly clustered environments differ
significantly from those in the field. This may have important implications for
understanding the origin of the halo assembly bias, of galaxy properties in
dense environments and how environment affects the morphological transformation
of galaxies near groups and rich galaxy clusters.Comment: 13 pages, 11 figures, published in MNRA
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