title: Non-Markovian diffusion over a potential barrier in the presence of periodic time modulation.
abstract: The diffusive non-Markovian motion over a single-well potential barrier in the presence of a weak sinusoidal time modulation is studied. We found nonmonotonic dependence of the mean escape time from the barrier on a frequency of the periodic modulation that is analogous to the stochastic resonance phenomenon. The resonant increase of diffusion over the barrier occurs at the frequency inversely proportional to the mean first-passage time for the motion in the absence of the time modulation.
authors.affiliation: Institute for Nuclear Research, 03680 Kiev, Ukraine.
authors.forename: V M
authors.initials: VM
authors.lastname: Kolomietz
authors.forename: S V
authors.initials: SV
authors.lastname: Radionov