Stochastic fluctuations in the Hill's equation parameters generate nonzero particle production in otherwise stable regimes, broadening the parameter space where cosmic reheating can succeed.
Reheating in the Presence of Noise
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abstract
Explosive particle production due to parametric resonance is a crucial feature of reheating in inflationary cosmology. Coherent oscillations of the inflaton field act as a periodically varying mass in the evolution equation for matter fields which couple to the inflaton. This in turn results in the parametric resonance instability. Thermal and quantum noise will lead to a nonperiodic perturbation in the mass. We study the resulting equation for the evolution of matter fields and demonstrate that noise (at least if it is temporally uncorrelated) will increase the rate of particle production. We also estimate the limits on the magnitude of the noise for which the resonant behavior is qualitatively unchanged.
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Fluctuations in Hill's equation parameters and application to cosmic reheating
Stochastic fluctuations in the Hill's equation parameters generate nonzero particle production in otherwise stable regimes, broadening the parameter space where cosmic reheating can succeed.