Distribution function approach to redshift space distortions. Part II: N-body simulations

  title={Distribution function approach to redshift space distortions. Part II: N-body simulations},
  author={Teppei Okumura and Uros Seljak and Patrick Mcdonald and Vincent Desjacques},
  journal={Journal of Cosmology and Astroparticle Physics},
Measurement of redshift-space distortions (RSD) offers an attractive method to directly probe the cosmic growth history of density perturbations. A distribution function approach where RSD can be written as a sum over density weighted velocity moment correlators has recently been developed. In this paper we use results of N-body simulations to investigate the individual contributions and convergence of this expansion for dark matter. If the series is expanded as a function of powers of… 

Figures from this paper

Distribution function approach to redshift space distortions. Part IV: perturbation theory applied to dark matter

We develop a perturbative approach to redshift space distortions (RSD) using the phase space distribution function approach and apply it to the dark matter redshift space power spectrum and its

Distribution function approach to redshift space distortions. Part V: perturbation theory applied to dark matter halos

Numerical simulations show that redshift space distortions (RSD) introduce strong scale dependence in the power spectra of halos, with ten percent deviations relative to linear theory predictions

Distribution function approach to redshift space distortions. Part III: halos and galaxies

It was recently shown that the power spectrum in redshift space can be written as a sum of cross-power spectra between number weighted velocity moments, of which the lowest are density and momentum

The moment generating function of pairwise velocity in the context of redshift space distortion

It is found that G (ln G) shows complicated dependence on k ∥ beyond the linear and quadratic dependencies, which not only shows inaccuracy in some existing models and identifies sources of inaccuracy but also provides possible ways of improving the RSD modeling.

Consistent modeling of velocity statistics and redshift-space distortions in one-loop perturbation theory

The peculiar velocities of biased tracers of the cosmic density field contain important information about the growth of large scale structure and generate anisotropy in the observed clustering of

Peculiar velocities in redshift space: formalism, N-body simulations and perturbation theory

Direct measurements of peculiar velocities of galaxies and clusters of galaxies can in principle provide explicit information on the three dimensional mass distribution, but this information is

Direct Determination of Expansion History Using Redshift Distortions

We investigate the direct determination of expansion history using redshift distortions without plugging into detailed cosmological parameters. The observed spectra in redshift space include a

Large Scale Structure in Redshift Space

  • Yong Song
  • Mathematics
    Journal of the Korean Physical Society
  • 2018
The mapping of dark matter clustering from real space to redshift space introduces the anisotropic property to the measured density power spectrum in redshift space, known as the redshift space

Understanding redshift space distortions in density-weighted peculiar velocity

Observations of the kinetic Sunyaev-Zel'dovich (kSZ) effect measure the density-weighted velocity field, a potentially powerful cosmological probe. This paper presents an analytical method to predict

Redshift-space distortions around voids

We have derived estimators for the linear growth rate of density fluctuations using the cross-correlation function of voids and haloes in redshift space, both directly and in Fourier form. In linear



Distribution function approach to redshift space distortions

We develop a phase space distribution function approach to redshift space distortions (RSD), in which the redshift space density can be written as a sum over velocity moments of the distribution


The linear growth factor of density perturbations is generally believed to be a powerful observable quantity of future large redshift surveys to probe physical properties of dark energy and to


Redshift space distortions (RSDs) caused by galaxy peculiar velocities provide a window onto the growth rate of large-scale structure and a method for testing general relativity. We investigate


We present a method to extract the redshift-space distortion β parameter in configuration space with a minimal set of cosmological assumptions. We show that a novel combination of the observed

How to evade the sample variance limit on measurements of redshift-space distortions

We show how to use multiple tracers of large-scale density with different biases to measure the redshift-space distortion parameter β ≡ b−1f ≡ b−1d ln D/d ln a (where D is the growth factor and a the

Redshift-space distortions with the halo occupation distribution - I. Numerical simulations

We show how redshift-space distortions of the galaxy correlation function or power spectrum can constrain the matter density parameter Ω m and the linear matter fluctuation amplitude σ 8 . We improve

Resumming cosmic perturbations

Renormalization group (RG) techniques have been successfully employed in quantum field theory and statistical physics. Here we apply RG methods to study the non-linear stages of structure formation

The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9

We present precise measurements of the growth rate of cosmic structure for the redshift range 0.1 < z < 0.9, using redshift-space distortions in the galaxy power spectrum of the WiggleZ Dark Energy

Clustering of luminous red galaxies – I. Large-scale redshift-space distortions

This is the first paper of a series where we study the clustering of LRG galaxies in the latest spectroscopic Sloan Digital Sky Survey (SDSS) data release, DR6, which has 75 000 LRG galaxies covering

Testing cosmological structure formation using redshift-space distortions

Observations of redshift-space distortions in spectroscopic galaxy surveys offer an attractive method for observing the build-up of cosmological structure. In this paper, we develop and test a new