Computer Science – Numerical Analysis
Scientific paper
Jun 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...427..562s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 427, no. 2, p. 562-573
Computer Science
Numerical Analysis
24
Distribution Functions, Galactic Clusters, Infrared Astronomy, Linearity, Nonlinearity, Numerical Analysis, Spatial Distribution, Voids, Astronomical Catalogs, Correlation, Gravitational Effects, Infrared Astronomy Satellite, Sky Surveys (Astronomy)
Scientific paper
We analyze the galaxy distribution functions for voids and counts-in-cells using the IRAS catalog. Angular diameter scales, the largest probed to date, range from 0.5 deg to 30 deg, corresponding to linear diameters approximately less than 40/h Mpc. The analysis develops a new technique which has no free parameters. On all scales, the results agree closely with predictions of simple gravitational galaxy clustering. The value of bpattern for the IRAS galaxies at a cell diameter of 30 deg is 0.62 +/- 0.03. It is nearly independent of scale for angular diameters approximately greater than 20 deg. We also develop a new method for using the projected distribution functions to estimate the average amplitude, -epsilon, and scale, rneg, where the spatial two-point galaxy correlation function, xi2, becomes negative. This technique is sensitive to the negative range of xi2 and is independent of the peculiar velocity effects which make measurements of the spatial correlation function uncertain on some scales. It shows that a large class of CDM-related models, with linear biasing, appears to be inconsistent with the IRAS distribution. We discuss some implications for the selection of the IRAS galaxies, the scale invariance of higher order moments of the IRAS distribution function, and the evidence that initial conditions for galaxy clustering were Gaussian.
Mo Hou-Jun
Saslaw William C.
Sheth Ravi K.
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