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Scaling Laws in the Stellar Mass Distribution and the Transition to Homogeneity
- Source :
- Advances in Astronomy, Vol 2021 (2021)
- Publication Year :
- 2021
- Publisher :
- Hindawi Limited, 2021.
-
Abstract
- We present a new statistical analysis of the large-scale stellar mass distribution in the Sloan Digital Sky Survey (data release 7). A set of volume-limited samples shows that the stellar mass of galaxies is concentrated in a range of galaxy luminosities that is very different from the range selected by the usual analysis of galaxy positions. Nevertheless, the two-point correlation function is a power-law with the usual exponent $\gamma=1.71$--$1.82$, which varies with luminosity. The mass concentration property allows us to make a meaningful analysis of the angular distribution of the full flux-limited sample. With this analysis, after suppressing the shot noise, we extend further the scaling range and thus obtain $\gamma=1.83$ and a clustering length \redc{$r_0= 5.8$--$7.0\,h^{-1}$Mpc.} Fractional statistical moments of the coarse-grained stellar mass density exhibit multifractal scaling. Our results support a multifractal model with a transition to homogeneity at about $10\,h^{-1}$Mpc.<br />Comment: 19 pages, 6 figures; new results: shot noise suppression, fractional moments, analysis of VL samples; to be published in Advances in Astronomy
- Subjects :
- Physics
Cosmology and Nongalactic Astrophysics (astro-ph.CO)
Article Subject
Stellar mass
Astronomy
Homogeneity (statistics)
FOS: Physical sciences
QB1-991
Astronomy and Astrophysics
Astrophysics::Cosmology and Extragalactic Astrophysics
Multifractal system
Astrophysics
Galaxy
Luminosity
Correlation function (statistical mechanics)
Space and Planetary Science
Physics - Data Analysis, Statistics and Probability
Range (statistics)
Scaling
Data Analysis, Statistics and Probability (physics.data-an)
Astrophysics::Galaxy Astrophysics
Astrophysics - Cosmology and Nongalactic Astrophysics
Subjects
Details
- ISSN :
- 16877977 and 16877969
- Volume :
- 2021
- Database :
- OpenAIRE
- Journal :
- Advances in Astronomy
- Accession number :
- edsair.doi.dedup.....e00a419d2e32dc0c95290eea237abddb