The topology of large-scale structure. II - Nonlinear evolution of Gaussian models

Details The topology of large-scale structure. II - Nonlinear evolution of Gaussian models The topology of large-scale structure. II - Nonlinear evolution of Gaussian models

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...328...50m&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 328, May 1, 1988, p. 50-68. Research supported by the University of Kansas.

Statistics

Computation

88

Cosmology, Dark Matter, Galactic Clusters, Normal Density Functions, Random Processes, Red Shift, Computational Astrophysics, Correlation, Perturbation Theory, Power Spectra

Scientific paper

The evolution of non-Gaussian behavior in the large-scale universe from Gaussian initial conditions is studied. Topology measures developed in previous papers are applied to the smoothed initial, final, and biased matter distributions of cold dark matter, white noise, and massive neutrino simulations. When the smoothing length is approximately twice the mass correlation length or larger, the evolved models look like the initial conditions, suggesting that random phase hypotheses in cosmology can be tested with adequate data sets. When a smaller smoothing length is used, nonlinear effects are recovered, so nonlinear effects on topology can be detected in redshift surveys after smoothing at the mean intergalaxy separation. Hot dark matter models develop manifestly non-Gaussian behavior attributable to phase correlations, with a topology reminiscent of bubble or sheet distributions. Cold dark matter models remain Gaussian, and biasing does not disguise this.

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