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Title:
The area of isodensity contours in cosmological models and galaxy surveys
Authors:
Ryden, Barbara S.; Melott, Adrian L.; Craig, David A.; Gott, J. Richard, III; Weinberg, David H.; Scherrer, Robert J.; Bhavsar, Suketu P.; Miller, John M.
Affiliation:
AA(Harvard-Smithsonian Center for Astrophysics, Cambridge, MA), AB(Kansas, University, Lawrence), AC(Princeton University Observatory, NJ), AD(Princeton University Observatory, NJ), AE(Princeton University Observatory, NJ)
Publication:
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 340, May 15, 1989, p. 647-660. (ApJ Homepage)
Publication Date:
05/1989
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Cosmology, Galactic Clusters, Dark Matter, Density Distribution, Gravitational Effects, Red Shift
DOI:
10.1086/167426
Bibliographic Code:
1989ApJ...340..647R

Abstract

The contour crossing statistic, defined as the mean number of times per unit length that a straight line drawn through the field crosses a given contour, is applied to model density fields and to smoothed samples of galaxies. Models in which the matter is in a bubble structure, in a filamentary net, or in clusters can be distinguished from Gaussian density distributions. The shape of the contour crossing curve in the initially Gaussian fields considered remains Gaussian after gravitational evolution and biasing, as long as the smoothing length is longer than the mass correlation length. With a smoothing length of 5/h Mpc, models containing cosmic strings are indistinguishable from Gaussian distributions. Cosmic explosion models are significantly non-Gaussian, having a bubbly structure. Samples from the CfA survey and the Haynes and Giovanelli (1986) survey are more strongly non-Gaussian at a smoothing length of 6/h Mpc than any of the models examined. At a smoothing length of 12/h Mpc, the Haynes and Giovanelli sample appears Gaussian.

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