Large-scale mass power spectrum from peculiar velocities

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The power spectrum of mass density fluctuations is estimated from the Mark III and the SFI catalogs of peculiar velocities by applying a maximum likelihood analysis, using parametric models for the power spectrum and for the errors. Generalized CDM models with and without COBE normalization are used. The applications to the two different data sets give consistent results. The general result is a relatively high amplitude of the power spectrum, e.g., at k=0.1hMpc{sup -1} we find P(k){Omega}{sup 1.2}=(4.5{+-}2.0)x10{sup 3}(h{sup -1}Mpc){sup 3}, corresponding to {sigma}{sub 8}{Omega}{sup 0.6}=0.85{+-}0.2. Model-dependent constraints on combinations of cosmological parameters are obtained for families of COBE-normalized CDM ... continued below

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Zehavi, Idit October 1, 1998.

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Description

The power spectrum of mass density fluctuations is estimated from the Mark III and the SFI catalogs of peculiar velocities by applying a maximum likelihood analysis, using parametric models for the power spectrum and for the errors. Generalized CDM models with and without COBE normalization are used. The applications to the two different data sets give consistent results. The general result is a relatively high amplitude of the power spectrum, e.g., at k=0.1hMpc{sup -1} we find P(k){Omega}{sup 1.2}=(4.5{+-}2.0)x10{sup 3}(h{sup -1}Mpc){sup 3}, corresponding to {sigma}{sub 8}{Omega}{sup 0.6}=0.85{+-}0.2. Model-dependent constraints on combinations of cosmological parameters are obtained for families of COBE-normalized CDM models. these can roughly be approximated by {Omega}h{sub 60}{sup {mu}}n{sup {nu}}=0.6{+-}0.2, where {mu}=1.3 and {nu}=3.7, 2.0 for flat {Lambda}CDM models with and without tensor fluctuations respectively. For open CDM, without tensor fluctuations, the powers are {mu}=0.9 and {nu}=1.4. the quoted error-bars reflect the 90% formal likelihood uncertainty for each model and the variance among different models and between catalogs. This is a brief review of a collaborative project (for more details, see Zaroubi et al. 1997, Freudling et al. 1998). Preliminary constraints in the {Omega}-{Omega}{sub {Lambda}} plane are presented as well.

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  • Evolution of Large-Scale Structure: From Recombination to Garching, MPA/ESO, Munich, Germany, August 2-7, 1998

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  • Other: DE00002161
  • Report No.: FERMILAB-Conf-98/318-A
  • Grant Number: NONE
  • Office of Scientific & Technical Information Report Number: 2161
  • Archival Resource Key: ark:/67531/metadc671270

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  • October 1, 1998

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  • June 29, 2015, 9:42 p.m.

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  • April 18, 2016, 3:23 p.m.

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Zehavi, Idit. Large-scale mass power spectrum from peculiar velocities, article, October 1, 1998; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc671270/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.