Parabolic drift towards homogeneity in large-scale structures of galaxies

Diogo Queiros-Conde

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 14, 3641-3646

Abstract: To describe the progressive transition in large-scale structures of galaxies from a seemingly fractal behavior at small scales to a homogeneous distribution at large scales, we use a new geometrical framework called entropic-skins geometry which is based on a diffusion equation of scale entropy through scale space. In the case of an equipartition of scale entropy losses in scale space, it is shown that fractal dimension (varying from 0 to 3) depends linearly on the logarithm of scale from the average size lc of galaxies until a characteristic length scale l0 beyond which distribution becomes homogeneous. A simple parabolic expression for correlation function can be derived: ln(1+ξi)=(β/2)ln2(lo/li) with β=3/ln(l0/lc)≈0.32 and l0≈55h−1Mpc. This law has been verified using correlation functions measured on several redshift surveys.

Keywords: Large-scale structures of galaxies; Entropic-skins geometry; Scale-entropy diffusion equation; Parabolic scaling (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:14:p:3641-3646

DOI: 10.1016/j.physa.2008.02.005

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