The relation between the two-point and the three-point correlation functions in the non-linear gravitational clustering regime

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dc.creatorKoyama, Hiroko
dc.creatorYano, Taihei
dc.date2003-08-26
dc.date2005-06-15
dc.date.accessioned2026-07-07T02:09:19Z
dc.date.available2026-07-07T02:09:19Z
dc.descriptionThe connection between the two-point and the three-point correlation functions in the non-linear gravitational clustering regime is studied. Under a scaling hypothesis, we find that the three-point correlation function, $ζ$, obeys the scaling law $ζ\propto ξ^{\frac{3m+4w-2ε}{2m+2w}}$ in the nonlinear regime, where $ξ$, $m$, $w$, and $ε$ are the two-point correlation function, the power index of the power spectrum in the nonlinear regime, the number of spatial dimensions, and the power index of the phase correlations, respectively. The new formula reveals the origin of the power index of the three-point correlation function. We also obtain the theoretical condition for which the ``hierarchical form'' $ζ\proptoξ^2$ is reproduced.
dc.description16 pages, 4 figures. Accepted for publication in APJ. Some sentences and figures are revised
dc.identifierhttps://arxiv.org/abs/astro-ph/0308454
dc.identifierhttp://arxiv.org/abs/astro-ph/0308454
dc.identifierAstrophys.J. 624 (2005) 1-6
dc.identifierdoi:10.1086/423262
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/6386
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectChaotic Dynamics
dc.subjectPattern Formation and Solitons
dc.titleThe relation between the two-point and the three-point correlation functions in the non-linear gravitational clustering regime
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