The non-linear bispectrum from the scale-free N-body simulation with the spectral index -1

Details The non-linear bispectrum from the scale-free N-body simulation with the spectral index -1 The non-linear bispectrum from the scale-free N-body simulation with the spectral index -1

Oct 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005acasn..46..364h&link_type=abstract

Acta Astronomica Sinica, vol. 46, no. 4, p. 364-379

Statistics

Computation

Cosmology: Large -Scale Structure Of Universe, Methods: N-Body Simulations, Methods: Statistical

Scientific paper

Bispectrum, the three-point correlation function in Fourier space, is the lowest order statistic that probes the shape of the large-scale structures generated by the gravitational clustering. The 2-dimensional density field in Fourier space has the same statistical properties as the 3-dimensional field, and the 2-dimensional fast Fourier transform (FFT) needs less computer memory than the 3-dimensional case, then the 2-dimensional FFT can overcome the limitation of the computation. With the 2-dimensional and 3-dimensional FFT, we measured the bispectrum from the weakly non-linear regime to strong non-linear regime using the high resolution N-body simulation with spectral index -1. In this work, all possible effects on the bispectrum measurement of the numerical artifacts, such as finite box size, force softening, particle discreteness, and the effect caused by the mass assignment using the FFT are considered and corrected strictly. The measured results show that the reduced bispectrum depends on the shape and size of k-triangle even in the strongly non-linear regime, and increases with wavenumber. These results are in contrast with the hypothesis of pioneer. A new fitting formula for the reduced bispectrum is obtained from the measured results.

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