Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...437..550m&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 437, no. 2, p. 550-555
Astronomy and Astrophysics
Astrophysics
20
Correlation, Galactic Clusters, Galactic Structure, Red Shift, Scaling Laws, Dimensional Analysis, Galactic Evolution, Two Dimensional Models
Scientific paper
We have calulated the redshift space two-point correlation function, zeta(r), for galaxies in the QDOT redshift survey. In the range 1 - 30 h-1 Mpc, the data are well described by a power law zeta(r) approximately equal to (r/r0)-gamma with gamma = 1.27 +/- 0.11 and r0 = 4.82 +/- 0.81 h-1 Mpc. Furthermore, we find that the sample exhibits clear multifractal scaling properties, but with dimensions different from those extracted from the CfA survey. For example, D0 = 2.90, D2 = 2.77 for QDOT on large scales (greater than 10 h-1 Mpc), compared with 2.1 and 1.3 obtained from the CfA survey.; on small scales (less than 10 h-1 Mpc), the correlation dimension for QDOT galaxies is D2 approximately equal to 2.25. The differences in these values between the QDOT data on large and small scales, and between the QDOT and CfA data, provide further evidence that multifractal scaling properties are a useful diagnostic of the dynamics of galaxy clustering.
Coles Peter
Martinez Vicent J.
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