We investigated the evolution of the primordial density perturbations produced by inflation with thermal dissipation. A full relativistic analysis on the evolution of initial perturbations from the warm inflation era to a radiation-dominated universe has been developed. The emphasis is on tracking the ratio between the adiabatic and the isocurvature mode of the initial perturbations. This result is employed to calculate a testable factor: the super-Hubble suppression of the power spectrum of the primordial perturbations. We show that based on the warm inflation scenario, the super-Hubble suppression factor, s, for an inflation with thermal dissipation is at least 0.5. This prediction does not depend on the details of the model parameters. If s is larger than 0.5, it implies that the friction parameter Γ is larger than the Hubble expansion parameter H during the inflation era.
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