Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1563

 Title: Scaling properties of non-linear gravitational clustering Authors: Nityananda, R.Padmanabhan, T. Issue Date: 15-Dec-1994 Publisher: Blackwell Publishing for the Royal Astronomical Society Citation: Monthly Notices of the Royal Astronomical Society, 1994, Vol.271, p976-980 Abstract: The growth of density perturbations in an expanding universe in the non-linear regime is investigated. The underlying equations of motion are cast in a suggestive form, and motivate a conjecture that the scaled pair velocity, $h(a,x)\equiv -[v/(\dot{a}x)]$ depends on the expansion factor $a$ and comoving coordinate $x$ only through the density contrast $\sigma(a,x)$. This leads to the result that the true, non-linear, density contrast $<(\delta\rho/\rho)^{2}_{x}〉^{1/2}=\sigma(a,x)$ is a universal function of the density contrast $\sigma_L(a,l)$, computed in the linear theory and evaluated at a scale $l$ where $l=x(1+\sigma^2)^{1/3}$. This universality is supported by existing numerical simulations with scale-invariant initial conditions having different power laws. We discuss a physically motivated ansatz $h(a,x)=h[\sigma^2(a,x)]$ and use it to compute the non-linear density contrast at any given scale analytically. This provides a promising method for analysing the non-linear evolution of density perturbations in the universe and for interpreting numerical simulations. Description: Sorry, the full text of this article is not available here. Please click on the alternative location to access it. URI: http://hdl.handle.net/2289/1563 ISSN: 0035-8711 Alternative Location: http://adsabs.harvard.edu/cgi-bin/bib_query?1994MNRAS.271..976Nhttp://adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994MNRAS.271..976N&link_type=ARTICLE&db_key=AST Copyright: (1994) Royal Astronomical Society Appears in Collections: Research Papers (A&A)

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