Non-Gaussian signatures from Gaussian initial fluctuations - Evolution of skewness and kurtosis from cosmological simulations in the highly nonlinear regime

Details Non-Gaussian signatures from Gaussian initial fluctuations - Evolution of skewness and kurtosis from cosmological simulations in the highly nonlinear regime Non-Gaussian signatures from Gaussian initial fluctuations - Evolution of skewness and kurtosis from cosmological simulations in the highly nonlinear regime

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...402..387l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 402, no. 2, p. 387-397.

Statistics

Computation

67

Computational Astrophysics, Cosmology, Evolution (Development), Gravitational Effects, Many Body Problem, Skewness, Gauss Equation, Kurtosis, Perturbation Theory, Power Spectra, Red Shift, Universe

Scientific paper

N-body simulations are used to explore the behavior of the third and fourth moment in the nonlinear regime in the range 1-10, with the aim of determining if non-Gaussian signatures at a later epoch may result from initial Gaussian fluctuations and their amplification by gravitational instability. Both SF and KF show strong dependence on the initial power spectrum. Both are increasing functions delta(rms) in the highly nonlinear regime. In the highly nonlinear regime the second, third, and fourth moments, as well as normalized skewness and kurtosis, are smaller in redshift space than in real space. The skewness and kurtosis increase more slowly with delta(rms) in redshift space than in real space. Accurate measurements of S and K as a function of delta(rms) may provide an important test for the Gaussian nature of the initial perturbations and the shape of the power spectrum.

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