Index - ... - Simulations (1/3) - Simulations (2/3) - Simulations (3/3) - ...
4. Simulations (2/3)
4.2 - Simulated XMM images of cosmic filaments
Filaments are a common feature of modern cosmological models and their
existence is now a well observed feature of the galaxies mapped in
redshift surveys. However, stars represent only a small fraction of
the baryonic matter predicted by nucleosynthesis. Where is the rest?
Simulations predict that most baryons are in moderately hot gas
associated with filaments and groups (Cen and Ostriker 1999). If this
is the case, then we have yet to observe a large fraction of the
baryons in the universe.
In order to investigate their observability in the X-ray band, we have
performed detailed N-body and hydrodynamic simulations. We selected
two representative cosmological models: one dominated by a
cosmological constant (and favored by current observations), and the
other a flat, = 1 cosmology with a
tilted spectrum of density
perturbations. For both cosmologies, we focused our computational
efforts on a filament about 30 h-1 Mpc in length and
used an adaptive mesh refinement (AMR) method to solve the equations of
hydrodynamics. This new numerical technique (described in Bryan
1999) was used in order to achieve sufficient resolution
(50 h-1 kpc) in high-density regions and good
shock-capturing behaviour in low density regions.
The results (for both CDM and
tilted CDM models) are shown in Fig. 9-10 which demonstrate what
an idealized X-ray image of this region would show. While the extremely
diffuse gas of the filament is very difficult to observe, it's clear that
the filamentary structure itself is well outlined by a chain of gas clumps
with various masses and luminosities. In fact it is in this network of
groups that a large fraction of the filament's baryons reside, and
this work shows that a detection of that component is feasible. In
Fig. 11-12 we include all instrumental effects and the background
distribution of extragalactic objects (QSO). The groups embedded in
the filament are visible. While it is more difficult to delineate the
cluster outskirts, a cross-correlation with the optical survey, the
weak-lensing results and the Sunyaev-Zel'dovich map will substantially
enhance the strength of the signal. In this way, we may at last
complete our inventory of the baryonic matter content of the universe.
tcdm_z0p5_10ks.ps.gz
(gzipped Postscript, 22469 bytes)
Figure 9: XMM simulated image of a cosmic filament seen at z
= 0.5 in a tilted CDM model. This corresponds to a simulation box
of 18 x 23 x 33 h-3 Mpc3. The box has been
extracted from a larger simulation and encompasses a filament located
between two large clusters (outside the box). Many groups are visible
within the filamentary structures. From the simulated density and
temperature cubes and using reshifted thermal spectra convolved by the
XMM response, we have computed the number of photons received by XMM
for a 10ks exposure from each simulation cell
(100 h-1 kpc, which is about 18" at z = 0.5) and
the integrated photon flux along the line of sight. The entire image has
an apparent size of 1.2 x 1.7 sq.dg which is much larger than the XMM
field of view (30'). This is what we should see ideally, when the XMM
pointings have been tiled and the fore/background pointlike sources and
noise have been removed. The image is computed in the [0.4-4] keV band.
lcdmrp_z0p5_10ksb.ps.gz
(gzipped Postscript, 21794 bytes)
Figure 10: Same as above, but for a
CDM model.
lcdmrp_z0p5_10ks_4as_qso.ps.gz
(gzipped Postscript, 77073 bytes)
Figure 11: A detailed simulation of a single XMM survey pointing
(30' diameter) centered on the area encompassing the squares on the
previous CDM picture (Fig. 10).
All presently known XMM characteristics have been taken into account:
spectral response, PSF, vignetting, particle and diffuse background.
The logN-LogS law for extragalactic point sources (QSO) has also been
included. The pixel size is 4". This is the photon image for a 10 ks
exposure computed in the [0.4-4]keV band.
lcdmrp_z0p5_10ks_4as_qsof3.ps.gz
(gzipped Postscript, 41046 bytes)
Figure 12: Same image as above, but filtered by a multi-resolution
wavelet algorithm combined with a model for Poisson photon statistics
(Starck & Pierre 1998). The significance of all objects is > 3
, and noise is removed at this level.
Such techniques will be used for the detection of faint extended sources
in the survey. The three filament groups are clearly visible as extended
sources. They have masses ranging from 7 x 1013 to 2 x
1014 M.
4.3 Towards new physics in the XMM group sample
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Web Pages : Alain Detal, Oct 2001.