Parabolic drift towards homogeneity in large-scale structures of galaxies

✍ Scribed by Diogo Queiros-Conde

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 442 KB
• Volume: 387
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2008.02.005

✦ Synopsis

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 l c of galaxies until a characteristic length scale l 0 beyond which distribution becomes homogeneous. A simple parabolic expression for correlation function can be derived: ln(1 + ξ i ) = (β/2) ln 2 (l o /l i ) with β = 3/ ln(l 0 /l c ) ≈ 0.32 and l 0 ≈ 55 h -1 Mpc. This law has been verified using correlation functions measured on several redshift surveys.