A coarse-grained field theory for density fluctuations and correlation functions of galaxies and clusters

DOI10.1051/0004-6361:20066436zbMATH Open1116.85308arXivastro-ph/0611712OpenAlexW3101661437WikidataQ68854398 ScholiaQ68854398MaRDI QIDQ3590842

Y. Zhang

Publication date: 3 September 2007

Published in: Astronomy & Astrophysics (Search for Journal in Brave)

Abstract: We present a coarse-grained field theory of density fluctuations for a Newtonian self-gravitating many-body system and apply it to a homogeneous Universe with small density fluctuations. The theory treats the clustering of galaxies and clusters in terms of the field of density fluctuations. The Jeans length $lambd{a}_0$, a unique physical scale for a gravitating system, appears naturally as the characteristic scale underlying the large scale structure. Under Gaussian approximation the analytic expressions of $xi(r)$ and $P(k)$ are obtained. The correlation amplitude is proportional to the galactic mass, and is oscillating over large scales $sim100$ $h^{-1}$ Mpc and damped to zero. The spectrum amplitude is inversely proportional to the galactic number density.The preliminary results qualitatively explain some pronounced features of large scale structures.

Full work available at URL: https://arxiv.org/abs/astro-ph/0611712

zbMATH Keywords

large-scale structure of Universe

Mathematics Subject Classification ID

Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Astrophysical cosmology (85A40)

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