Mathematics – Logic
Scientific paper
Jun 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...391..443n&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 391, no. 2, June 1, 1992, p. 443-452. Research supported by USIBSF.
Mathematics
Logic
67
Cosmology, Dark Matter, Galactic Clusters, Gravitation, Distribution Functions, Potential Flow, Power Spectra, Spatial Distribution, Velocity Distribution
Scientific paper
A quasi-linear method for recovering the growing mode of the initial fluctuations of a cosmological gravitating system from the present large-scale peculiar velocity of density field is presented and tested. A velocity-potential field is extracted from the observed velocities as in the POTENT procedure, or from the density as in the analysis of IRAS redshift surveys, assuming that the velocity field, smoothed on a scale of a few megaparsecs, is irrotational. Assuming the Zel'dovich approximation with no orbit crossing, the potential is traced back in time by integrating a simple differential equation in Eulerian space - the Zel'dovich-Bernoulli equation. The linear velocity and density fields are computed from the linear potential by differentiation. The method is demonstrated to reconstruct the initial conditions of an N-body simulation, recovering in particular the initial Gaussian distribution of densities; the initial hills are lower and the valleys are deeper than predicted by linear theory. Maps of the initial density field in the local cosmological neighborhood based on the POTENT and IRAS analysis are presented as an illustration of a possible application.
Dekel Avishai
Nusser Adi
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