Mathematics – Logic
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.3441i&link_type=abstract
Physical Review D, Vol. 45, No. 10, p. 3441 - 3446
Mathematics
Logic
6
Scientific paper
The authors discuss the nonlinear multiplicative stochastic behavior of chaotic inflation with emphasis on the relevance of the "scaling" effect for large-scale structure formation. They derive a simple criterion for the appearance of scaling behavior in the λφ4 inflaton model in an asymptotic limit, which remains valid throughout the inflationary epoch. The authors 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 λ. A decrease in the dispersion of field fluctuations at late times is seen in the course of stochastic evolution, and is shown to follow from the "squeezing" of probability distributions due to the nonlinear stochastic effect. Non-Gaussian statistics in adiabatic fluctuations are important only for superhorizon scales and the scaling regime does not lead to any significant statistical properties on currently observable scales. However, the scaling effect gives some cosmological consequences very different from what one expects in the naive diffusion approximation for quantum fluctuations.
Insu Yi
Vishniac Ethan T.
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