Scaling properties of nonlinear gravitational clustering

Nityananda, R. ; Padmanabhan, T. (1994) Scaling properties of nonlinear gravitational clustering Monthly Notices of the Royal Astronomical Society, 271 . pp. 976-980. ISSN 0035-8711

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Official URL: http://adsabs.harvard.edu/cgi-bin/nph-data_query?b...

Abstract

Hamilton et al. recently proposed the idea that the growth of density perturbations in an expanding universe is govemed by a general scaling law, and showed agreement with existing numerical simulations. We examine the possible origin of this scaling behaviour in more detail. The underlying equations of motion are cast in a suggestive form, and motivate a conjecture that the scaled pair velocity, h(x, α)≡ -[v/(αx)], depends on the expansion factor α and comoving coordinate x only through the density contrast ξ-(x, α) (the two-point correlation averaged over a sphere of radius x). This leads naturally to the proposed scaling law - the true non-linear density contrast is a universal function of the density contrast ξ-L(l, α), computed in the linear theory and evaluated at a scale lwhich is derived to be l =x(1 +ξ-)1/3. Apart from basing the proposed scaling form on an explicit dynamical hypothesis, this gives a convenient solution for the scaling function in terms of the input pair velocity. Possibilities for further elaboration of this approach in interpreting simulations of non-linear gravitational clustering are briefly discussed.

Item Type:Article
Source:Copyright of this article belongs to John Wiley and Sons.
Keywords:Galaxies: Clustering; Cosmology: Theory; Large-Scale Structure of Universe
ID Code:72484
Deposited On:29 Nov 2011 05:30
Last Modified:29 Nov 2011 05:30

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