Testing approximations for non-linear gravitational clustering

Details Testing approximations for non-linear gravitational clustering Testing approximations for non-linear gravitational clustering

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.260..765c&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 260, no. 4, p. 765-776.

Mathematics

Logic

148

Cosmology, Galactic Clusters, Galactic Evolution, Gravitational Fields, Nonlinear Systems, Many Body Problem, Power Spectra

Scientific paper

The accuracy of various analytic approximations for following the evolution of cosmological density fluctuations into the nonlinear regime is investigated. The Zel'dovich approximation is found to be consistently the best approximation scheme. It is extremely accurate for power spectra characterized by n = -1 or less; when the approximation is 'enhanced' by truncating highly nonlinear Fourier modes the approximation is excellent even for n = +1. The performance of linear theory is less spectrum-dependent, but this approximation is less accurate than the Zel'dovich one for all cases because of the failure to treat dynamics. The lognormal approximation generally provides a very poor fit to the spatial pattern.

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