Inflationary stochastic dynamics and the statistics of large-scale structure

Details Inflationary stochastic dynamics and the statistics of large-scale structure Inflationary stochastic dynamics and the statistics of large-scale structure

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apjs...86..333y&link_type=abstract

Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 86, no. 2, p. 333-364.

Mathematics

Logic

15

Chaos, Cosmology, Galactic Evolution, Stochastic Processes, Fokker-Planck Equation, Normal Density Functions, Wentzel-Kramer-Brillouin Method

Scientific paper

Nonlinear multiplicative stochastic behavior of chaotic inflation with an emphasis on possible non-Gaussian statistics in initial conditions for cosmological large-scale structure formation is examined. A nonlinear stochastic equation is solved which describes the evolution of the long wavelength modes of scalar fields during inflation. Coarse grained scalar fields show interesting, and unexpected, behavior due to the interplay between classical drift and quantum mechanical diffusion. Because statistics of cosmological density fluctuations depend on details of the scalar field dynamics during inflation, deviations from a Gaussian distribution of inflationary density fluctuations is generic in chaotic inflation models. Double-inflation models not only provide interesting power spectra, but also significantly non-Gaussian statistics. Initial conditions for the large scale structure in the simplest models of inflation are Gaussian. In inflation models with more free parameters, non-Gaussian phase correlations can become significant.

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