Escape rates for the quiescent self-regenerating universe

Details Escape rates for the quiescent self-regenerating universe Escape rates for the quiescent self-regenerating universe

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phlb..328..270c&link_type=abstract

Physics Letters B, Volume 328, Issue 3-4, p. 270-273.

Physics

Scientific paper

A detailed, probabilistic treatment based on the Fokker-Planck equation is given for the self-regenerating mechanism in higher order gravity theories. Nonstationary solutions to the Fokker-Planck equation exist and are obtained for certain forms of the drift, diffusion coefficients and spacetime dimensionality which correspond exactly to the well-known Wiener and Ornstein-Uhlenbeck processes respectively. We calculate the Kramers escape rates for certain choices of the gravitational lagrangian and find that in the resulting inflationary model, which we call the quiescent self-regenerating universe, particles stay near the global minimum of the effective potential with probability one. We conclude that the true vacuum state is stable against the quantum formation of bubbles of the inflationary phase. This provides a new proof, via a stochastic argument, of the important transient attractor property in quiescent inflation.

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