A Coarse-Grained Field Theory for Density Fluctuations and Correlation Functions of Galactic Objects

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dc.creatorZhang, Yang
dc.date2006-11-22
dc.date.accessioned2026-07-07T12:21:59Z
dc.date.available2026-07-07T12:21:59Z
dc.descriptionWe 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 $λ_0$, 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 $ξ(r)$ and $P(k)$ are obtained. The correlation amplitude is proportional to the galactic mass, and is oscillating over large scales $\sim 100$ $h^{-1}$ 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.
dc.description7 pages, 4 figures. to appear in A&A
dc.identifierhttps://arxiv.org/abs/astro-ph/0611712
dc.identifierhttp://arxiv.org/abs/astro-ph/0611712
dc.identifierAstron.Astrophys.464:811,2007
dc.identifierdoi:10.1051/0004-6361:20066436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213505
dc.subjectAstrophysics
dc.subjectStatistical Mechanics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA Coarse-Grained Field Theory for Density Fluctuations and Correlation Functions of Galactic Objects
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