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Angular power spectra of eROSITA mock cluster all-skymaps a Fabio Zandanel (GRAPPA Institute – University of Amsterdam) [email protected] With Mattia Fornasa (grappa) , F. Pacaud, T. Reiprich (aifa), F. Prada (iaa-csic), A. Klypin (nmsu) The X-ray Universe 2017 – Rome – 6/9-06-2017

Angular power spectra of eROSITA mock - Cosmos8/06/2017! Fabio Zandanel (GRAPPA)! 9! All-sky Power Spectra! Multipole 100 200 300 400 500 sr]-1 s-4 cm 2 Angular power spectrum [erg

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Page 1: Angular power spectra of eROSITA mock - Cosmos8/06/2017! Fabio Zandanel (GRAPPA)! 9! All-sky Power Spectra! Multipole 100 200 300 400 500 sr]-1 s-4 cm 2 Angular power spectrum [erg

Angular power spectra of eROSITA mock !

cluster all-skymaps!a!

Fabio Zandanel!!

(GRAPPA Institute – University of Amsterdam) [email protected]!

!With Mattia Fornasa (grappa), F. Pacaud, T. Reiprich

(aifa), F. Prada (iaa-csic), A. Klypin (nmsu)!!

The X-ray Universe 2017 – Rome – 6/9-06-2017!

Page 2: Angular power spectra of eROSITA mock - Cosmos8/06/2017! Fabio Zandanel (GRAPPA)! 9! All-sky Power Spectra! Multipole 100 200 300 400 500 sr]-1 s-4 cm 2 Angular power spectrum [erg

N-body simulations: !why and how

!!!!!!!!

Large volumes with different !cosmological initial conditions!

!

+!!

Phenomenological models !for gas and temperature !

!

=!!

Many mock cluster catalogues!

h-1 Gpc!

Klypin et al. (2016)  

8/06/2017! Fabio Zandanel (GRAPPA)! 2!

evolution of FZ, Pfrommer & Prada (2014)  

Page 3: Angular power spectra of eROSITA mock - Cosmos8/06/2017! Fabio Zandanel (GRAPPA)! 9! All-sky Power Spectra! Multipole 100 200 300 400 500 sr]-1 s-4 cm 2 Angular power spectrum [erg

Phenomenological model

BASELINE MODEL:!!

•  Planck (2013 V) P(r) profiles + P500 scatter!

•  Hydrostatic bias: MHE = 0.8 Msims(=true)!!

•  T – M500 and scatter (Mantz et al. 2010)!!

•  Self-similar evolution!

•  Fixed metallicity = 0.3!!CLUSTER TYPES (4 evolving populations):!!

•  Relaxed (=cool-cores) and merging!!

•  Four inner (≤0.15 R500) temperature profiles (Hudson et al. 2010) + outer profile from hydro simulations (pfrommer et al. 2007)!

!

•  25% fractions at z = 0 for M500 ≥ 5× 1013 h70-1 M¤

using Xoff parameter!! Fabio Zandanel (GRAPPA)! 3!8/06/2017!

Page 4: Angular power spectra of eROSITA mock - Cosmos8/06/2017! Fabio Zandanel (GRAPPA)! 9! All-sky Power Spectra! Multipole 100 200 300 400 500 sr]-1 s-4 cm 2 Angular power spectrum [erg

Phenomenological model!

Fabio Zandanel (GRAPPA)! 4!8/06/2017!

Relaxed!

Merging!

Cool-cores P(r)!

Non Cool-cores P(r)!

Tdrop = 0.4!

Tdrop = 0.6!

Tdrop = 0.8!

Tdrop = 1!

4 temperature profiles!

4 density!profiles!

Page 5: Angular power spectra of eROSITA mock - Cosmos8/06/2017! Fabio Zandanel (GRAPPA)! 9! All-sky Power Spectra! Multipole 100 200 300 400 500 sr]-1 s-4 cm 2 Angular power spectrum [erg

Fabio Zandanel (GRAPPA)! 5!

Baseline Scaling Relations!

•  Perfect match to Planck Ysz – M (Planck 2014 XX)!!

•  Good match to Ysz – M of Rozo et al. (2014)!!

•  Good match to Lx – M of both Rozo et al. (2014) and Mantz et al. (2016)!

!

•  Good match to Yx (and fgas) – M of Vikhlinin et al. (2009)!8/06/2017!

Page 6: Angular power spectra of eROSITA mock - Cosmos8/06/2017! Fabio Zandanel (GRAPPA)! 9! All-sky Power Spectra! Multipole 100 200 300 400 500 sr]-1 s-4 cm 2 Angular power spectrum [erg

Fabio Zandanel (GRAPPA)! 6!

Projection as Fornasa et al. (2013) à random observers!!

eROSITA counts simulation as Pillepich et al. (2012)!!

[0.658 of the sky for 1.6 ks and cut on counts ≥ 50]!!

with latest eROSITA response functions!

8/06/2017!

Baseline WMAP Light-cone!

Pillepich et al. (2012)  

Page 7: Angular power spectra of eROSITA mock - Cosmos8/06/2017! Fabio Zandanel (GRAPPA)! 9! All-sky Power Spectra! Multipole 100 200 300 400 500 sr]-1 s-4 cm 2 Angular power spectrum [erg

Fabio Zandanel (GRAPPA)! 7!

1.2×10-16 F0.5-2 keV [erg s-1 cm-2] 3.6×10-10

8/06/2017!

Baseline Light-cone Skymap!

Page 8: Angular power spectra of eROSITA mock - Cosmos8/06/2017! Fabio Zandanel (GRAPPA)! 9! All-sky Power Spectra! Multipole 100 200 300 400 500 sr]-1 s-4 cm 2 Angular power spectrum [erg

Fabio Zandanel (GRAPPA)! 8!8/06/2017!

Power Spectra of Clusters!Comparing with XBOOTES

analysis of the cosmic x-ray background by!

!

Kolodzig et al. (2017)!!

[cluster model based on !!

Cheng, Wu & Cooray 2004 ]!

preliminary  

all halos!M500 ≥ 1013 h70-1 M¤  

Page 9: Angular power spectra of eROSITA mock - Cosmos8/06/2017! Fabio Zandanel (GRAPPA)! 9! All-sky Power Spectra! Multipole 100 200 300 400 500 sr]-1 s-4 cm 2 Angular power spectrum [erg

Fabio Zandanel (GRAPPA)! 9!8/06/2017!

All-sky Power Spectra!

Multipole100 200 300 400 500

sr]

-1 s-4

cm2An

gular

powe

r spe

ctrum

[erg

-710

-610

-510

-410

-710

-610

-510

-410

All halosOnly resolved onesOnly unresolved ones

preliminary  

preliminary  

all (detected + !not detected) halos!

M500 ≥ 1013 h70-1 M¤  

Overcome sample variance and unravel CXB !!

Great for studying cosmology and scaling relations of clusters (also with sz signal) !

eROSITA!

ALL HALOS!DETECTED!NOT DETECTED!

Page 10: Angular power spectra of eROSITA mock - Cosmos8/06/2017! Fabio Zandanel (GRAPPA)! 9! All-sky Power Spectra! Multipole 100 200 300 400 500 sr]-1 s-4 cm 2 Angular power spectrum [erg

Take-Home Messages!

Fabio Zandanel (GRAPPA)!

•  Phenomenological model to assign gas and temperature to dark-matter-only halos !

!•  Mocks with 4 evolving population of

clusters of galaxies matching observations!!•  Light-cones for different observers with

WMAP and Planck cosmology will be on-line!!•  Many applications are possible, we showed

angular power spectrum:!

•  Large variations on small (XBOOTES-like) sky patches! à not good to draw general conclusions!!•  Large variations among different models ! à very good for astrophysics & cosmology with clusters!!•  All-sky eROSITA survey will change our understanding of

the CXB and cluster scaling relations with the CXB too!

anks!