Scaling Laws in the Stellar Mass Distribution and the Transition to Homogeneity

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 selecte...

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Main Author: José Gaite
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Astronomy
Online Access:http://dx.doi.org/10.1155/2021/6680938
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author José Gaite
author_facet José Gaite
author_sort José Gaite
collection DOAJ
description 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 γ=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 γ=1.83 and a clustering length r0=5.8−7.0h−1Mpc. 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 10h−1Mpc.
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spelling doaj-art-c2a7471cf7bb4702afddff805df4848a2025-08-20T02:18:59ZengWileyAdvances in Astronomy1687-79691687-79772021-01-01202110.1155/2021/66809386680938Scaling Laws in the Stellar Mass Distribution and the Transition to HomogeneityJosé Gaite0Physics Dept., ETSIAE, Univ. Politécnica de Madrid, E-28040 Madrid, SpainWe 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 γ=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 γ=1.83 and a clustering length r0=5.8−7.0h−1Mpc. 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 10h−1Mpc.http://dx.doi.org/10.1155/2021/6680938
spellingShingle José Gaite
Scaling Laws in the Stellar Mass Distribution and the Transition to Homogeneity
Advances in Astronomy
title Scaling Laws in the Stellar Mass Distribution and the Transition to Homogeneity
title_full Scaling Laws in the Stellar Mass Distribution and the Transition to Homogeneity
title_fullStr Scaling Laws in the Stellar Mass Distribution and the Transition to Homogeneity
title_full_unstemmed Scaling Laws in the Stellar Mass Distribution and the Transition to Homogeneity
title_short Scaling Laws in the Stellar Mass Distribution and the Transition to Homogeneity
title_sort scaling laws in the stellar mass distribution and the transition to homogeneity
url http://dx.doi.org/10.1155/2021/6680938
work_keys_str_mv AT josegaite scalinglawsinthestellarmassdistributionandthetransitiontohomogeneity