Stochastic Scaling Effect and Statistics of Cosmological Density Fluctuations

Details Stochastic Scaling Effect and Statistics of Cosmological Density Fluctuations Stochastic Scaling Effect and Statistics of Cosmological Density Fluctuations

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992pkas....7...51y&link_type=abstract

Publications of the Korean Astronomical Society, vol.7, no.1, p.51-61

Mathematics

Logic

Scientific paper

The nonlinear stochastic behavior of chaotic inflation is characterized by the 'scaling' effect. Using a simple criterion for the appearance of scaling behavior in the lambda phi^2 inflation model, we show explicitly that in this limit the onset of the scaling regime does not require any special initial conditions and that it is independent of the self-coupling constant lambda. Non-Gaussian statistics in adiabatic fluctuations are important only for super-horizon scales and the scaling regime does not lead to any significant statistical properties on currently observed scales. However, the scaling effect gives some cosmological consequences very different from what we expect in the naive diffusion approximation for quantum fluctuations. The classical (deterministic) treatment of the inflation field(essential a quantum mechanical object) becomes valid towards the end of inflation.

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