Etienne Clavière, Jacques-Pierre Brissot et les fondations intellectuelles de la politique des Girondins (I)

Whitmore, Richard; Livesey, James

doi:10.3406/ahrf.2000.2333

Cited by 8 publications

(7 citation statements)

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“…When compared to the real space 1-halo contribution to the power spectrum, the redshift space 1-halo term is generally reduced. This partly explains the reason why perturbation theory works better in redshift space than in real space [290].…”

Section: Redshift-space Power Spectrummentioning

confidence: 96%

Halo models of large scale structure

2002

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We review the formalism and applications of the halo-based description of nonlinear gravitational clustering. In this approach, all mass is associated with virialized dark matter halos; models of the number and spatial distribution of the halos, and the distribution of dark matter within each halo, are used to provide estimates of how the statistical properties of large scale density and velocity fields evolve as a result of nonlinear gravitational clustering. We first describe the model, and demonstrate its accuracy by comparing its predictions with exact results from numerical simulations of nonlinear gravitational clustering. We then present several astrophysical applications of the halo model: these include models of the spatial distribution of galaxies, the nonlinear velocity, momentum and pressure fields, descriptions of weak gravitational lensing, and estimates of secondary contributions to temperature fluctuations in the cosmic microwave background.

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Section: Redshift-space Power Spectrummentioning

confidence: 96%

Halo models of large scale structure

2002

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“…The second point also implies that there is potentially a lot to be gained from finding exactly how the redshift-space power spectrum depends on non-linear effects from velocities and galaxy bias. Some attempts to do this using the halo model have been proposed (White 2001;Seljak 2001;Kang et al 2002), but they do not address the first point made above. In addition, fitting formulae extracted from simulations that improve on the dispersion model have been developed (Hatton & Cole 1999;Jing and Börner 2001), which although very valuable, they do not provide much insight into the problem.…”

Section: Introductionmentioning

confidence: 99%

Redshift-space distortions, pairwise velocities, and nonlinearities

2004

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We derive the exact relationship, including all non-linearities, between real-space and redshiftspace two-point statistics through the pairwise velocity distribution function. We show using numerical simulations that the pairwise velocity PDF is strongly non-Gaussian at all scales, and explain why this is so. We caution that a commonly used ansatz to model the redshift-space power spectrum gives rise to an unphysical distribution of pairwise velocities, and show that it is in general impossible to derive the distribution from measurements of redshift-space clustering. Methods that claim to do this obtain instead something else, whose properties we derive.We provide a general derivation of the large-scale limit of the redshift-space power spectrum and show that it differs from the Kaiser formula by terms that depend on Gaussian and nonGaussian contributions to the velocity dispersion of large-scale flows. We also show that the large-scale evolution of velocity fields is not well described by linear theory and discuss how this impacts the redshift-space power spectrum. Finally, we stress that using the monopole of the redshift-space power as an indicator of the real-space power spectrum shape can lead to systematic effects in the determination of cosmological parameters; nevertheless a simple procedure is able to recover the large-scale real-space power spectrum rather well.

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“…The halo occupation distribution (HOD) framework (Jing et al 1998;Peacock & Smith 2000;Seljak 2000;Scoccimarro et al 2001;Berlind et al 2003;Yang et al 2003;Zheng et al 2005) provides a more physical and informative approach to model galaxy clustering, including the RSD effects (e.g., White 2001;Yang et al 2004;Tinker et al 2006;Tinker 2007;Zu & Weinberg 2013;Reid et al 2014). The HOD describes the relation between galaxies and dark matter at the level of individual dark matter haloes.…”

Section: Introductionmentioning

confidence: 99%

Velocity bias from the small-scale clustering of SDSS-III BOSS galaxies

Guo

Zheng

Zehavi

et al. 2014

Monthly Notices of the Royal Astronomical Society

114

138

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We present the measurements and modelling of the projected and redshift-space clustering of CMASS galaxies in the Sloan Digital Sky Survey-III Baryon Oscillation Spectroscopic Survey Data Release 11. For a volume-limited luminous red galaxy sample in the redshift range of 0.48 < z < 0.55, we perform halo occupation distribution modelling of the smalland intermediate-scale (0.1-60 h −1 Mpc) projected and redshift-space two-point correlation functions, with an accurate model built on high resolution N -body simulations. To interpret the measured redshift-space distortions, the distribution of galaxy velocities must differ from that of the dark matter inside haloes of ∼ 10 13 -10 14 h −1 M ⊙ , i.e. the data require the existence of galaxy velocity bias. Most notably, central galaxies on average are not at rest with respect to the core of their host haloes, but rather move around it with a 1D velocity dispersion of 0.22 +0.03−0.04 times that of the dark matter, implying a spatial offset from the centre at the level of 1 per cent of the halo virial radius. The luminous satellite galaxies move more slowly than the dark matter, with velocities 0.86−0.03 times those of the dark matter, which suggests that the velocity and spatial distributions of these satellites cannot both be unbiased. The constraints mainly arise from the Fingers-of-God effect at nonlinear scales and the smoothing to the Kaiser effect in the translinear regime; the robustness of the results is demonstrated by a variety of tests. We discuss the implications of the existence of galaxy velocity bias for investigations of galaxy formation and cosmology.

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Etienne Clavière, Jacques-Pierre Brissot et les fondations intellectuelles de la politique des Girondins (I)

Cited by 8 publications

References 0 publications

Halo models of large scale structure

Halo models of large scale structure

Redshift-space distortions, pairwise velocities, and nonlinearities

Velocity bias from the small-scale clustering of SDSS-III BOSS galaxies

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