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Note on redshift distortion in Fourier space
Cai, Yan-Chuan; Pan, Jun
2007
Source PublicationCHINESE JOURNAL OF ASTRONOMY AND ASTROPHYSICS
Volume7Issue:1Pages:51-62
AbstractWe explore features of redshift distortion in Fourier analysis of N-body simulations. The phases of the Fourier modes of dark matter density fluctuation are generally shifted by the peculiar motion along the line of sight, the induced phase shift is stochastic and has a probability distribution function (PDF) that is symmetric about the peak at zero shift and whose exact shape depends on the wave vector, except on very large scales where phases are invariant by linear perturbation theory. Analysis of the phase shifts motivates our phenomenological models for the bispectrum in redshift space. Comparison with simulations shows that our toy models are very successful in modeling bispectrum of equilateral and isosceles triangle,; at large scales. In the second part we compare the monopole of the power spectrum and bispectrum in the radial and plane-parallel distortion to test the plane-parallel approximation. We confirm the results of Scoccimarro that difference of power spectrum is at the level of 10%, and, in the reduced bispectrum, the difference is as small as a few percent. However, on the plane perpendicular to the line of sight of k(z) = 0, the difference in power spectrum between the radial and plane-parallel approximation can be more than similar to 10%, and even worse on very small scales. Such difference is prominent for bispectrum, especially for configurations of tilted triangles. Non-Gaussian signals under the radial distortion on small scales are systematically biased downside than are in the plane-parallel approximation, with amplitudes depending on the opening angle of the sample point to the observer. This observation gives warning to the practice of using the power spectrum and bispectrum measured on the k(z) = 0 plane as estimates of the real space statistics.
KeywordCosmology : Theory Large-scale Structure Of Universe Methods : Statistical
WOS HeadingsScience & Technology ; Physical Sciences
WOS KeywordPHASE CORRELATIONS ; POWER SPECTRUM ; REAL-SPACE ; DENSITY ; BISPECTRUM ; FIELDS ; FLUCTUATIONS ; SIGNATURE ; EVOLUTION ; GALAXIES
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000244675200002
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/15882
Collection南极天文中心
Affiliation1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Peoples R China
2.Chinese Acad Sci, Natl Astron Observ, Beijing 100012, Peoples R China
Recommended Citation
GB/T 7714
Cai, Yan-Chuan,Pan, Jun. Note on redshift distortion in Fourier space[J]. CHINESE JOURNAL OF ASTRONOMY AND ASTROPHYSICS,2007,7(1):51-62.
APA Cai, Yan-Chuan,&Pan, Jun.(2007).Note on redshift distortion in Fourier space.CHINESE JOURNAL OF ASTRONOMY AND ASTROPHYSICS,7(1),51-62.
MLA Cai, Yan-Chuan,et al."Note on redshift distortion in Fourier space".CHINESE JOURNAL OF ASTRONOMY AND ASTROPHYSICS 7.1(2007):51-62.
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