Optimized Lagrangian Approximations for Modelling Large--Scale Structure at Non--Linear Stages

Details Optimized Lagrangian Approximations for Modelling Large--Scale Structure at Non--Linear Stages Optimized Lagrangian Approximations for Modelling Large--Scale Structure at Non--Linear Stages

Publishing date

1994-04-20

URL

arxiv.org/abs/astro-ph/9404044v1

Journals

Muecket et al. (eds) World Scientific (1995) 364-368

Science

Astronomy and Astrophysics

Field

Astrophysics

Additional info

submitted to ApJ.Letters, TeX, 9 pages; for the figures we refer to the figures of paper astro-ph/9404018, to be obtained via

Type

Scientific paper

Abstract

We report on a series of tests of Newtonian Lagrangian perturbation schemes using N--body simulations for various power--spectra with scale--independent indices in the range $-3$ to $+1$. The models have been evolved deeply into the non--linear regime of structure formation in order to probe the dynamical and statistical performance of the Lagrangian perturbation schemes (whose first--order solution contains as a subset the celebrated ``Zel'dovich--approximation'' (hereafter ZA). These tests reveal properties of the approximations at stages beyond the obvious validity of perturbation theory. Recently, another series of tests of different analytical and semi--numerical approximations for large--scale structure was conducted with the result that ZA displays the best dynamical performance in comparison with the N--body simulations, if the initial data were smoothed before evolving the model, i.e., a truncated form of ZA (TZA). We show in this Letter that the excellent performance of TZA can be further improved by going to second order in the Lagrangian perturbation approach. The truncated second--order Lagrangian scheme provides a useful improvement over TZA especially for negative power indices, which suggests it will be very useful for modelling standard scenarios such as ``Cold--'', ``Hot--'' and ``Mixed--Dark--Matter''.

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