Non-Markovian diffusion over potential barrier in the presence of periodic time modulation

TL;DR

This paper investigates how non-Markovian diffusion over a potential barrier is affected by weak periodic modulation, revealing a stochastic resonance phenomenon with non-monotonic escape time dependence on modulation frequency.

Contribution

It introduces a study of non-Markovian diffusion under periodic modulation, highlighting the stochastic resonance effect in escape times over a potential barrier.

Findings

Escape time shows non-monotonic dependence on modulation frequency

Resonant acceleration occurs at a frequency inversely related to unperturbed mean first-passage time

Stochastic resonance phenomenon is observed in non-Markovian diffusion

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 non-monotonic dependence of the mean escape time from the barrier on a frequency of the periodic modulation that is character to the stochastic resonance phenomenon. The resonant acceleration 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.