Hyperextended cosmological perturbation theory

Predicting nonlinear clustering amplitudes

Román Scoccimarro, Joshua A. Frieman

    Research output: Contribution to journalArticle

    Abstract

    We consider the long-standing problem of predicting the hierarchical clustering amplitudes Sp in the strongly nonlinear regime of gravitational evolution. N-body results for the nonlinear evolution of the bispectrum (the Fourier transform of the three-point density correlation function) suggest a physically motivated Ansatz that yields the strongly nonlinear behavior of the skewness, S3, starting from leading-order perturbation theory. When generalized to higher order (p > 3) polyspectra or correlation functions, this Ansatz leads to a good description of nonlinear amplitudes in the strongly nonlinear regime for both scale-free and cold dark matter models. Furthermore, these results allow us to provide a general fitting formula for the nonlinear evolution of the bispectrum that interpolates between the weakly and strongly nonlinear regimes, analogous to previous expressions for the power spectrum.

    Original languageEnglish (US)
    Pages (from-to)35-44
    Number of pages10
    JournalAstrophysical Journal
    Volume520
    Issue number1 PART 1
    StatePublished - Jul 20 1999

    Fingerprint

    perturbation theory
    perturbation
    skewness
    Fourier transform
    power spectra
    dark matter
    cold

    Keywords

    • Cosmology: theory
    • Galaxies: clusters: general
    • Large-scale structure of universe
    • Methods: n-body simulations

    ASJC Scopus subject areas

    • Space and Planetary Science

    Cite this

    Hyperextended cosmological perturbation theory : Predicting nonlinear clustering amplitudes. / Scoccimarro, Román; Frieman, Joshua A.

    In: Astrophysical Journal, Vol. 520, No. 1 PART 1, 20.07.1999, p. 35-44.

    Research output: Contribution to journalArticle

    Scoccimarro, R & Frieman, JA 1999, 'Hyperextended cosmological perturbation theory: Predicting nonlinear clustering amplitudes', Astrophysical Journal, vol. 520, no. 1 PART 1, pp. 35-44.
    Scoccimarro, Román ; Frieman, Joshua A. / Hyperextended cosmological perturbation theory : Predicting nonlinear clustering amplitudes. In: Astrophysical Journal. 1999 ; Vol. 520, No. 1 PART 1. pp. 35-44.
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