Mean escape time over a fluctuating barrier
An approximate method for studying activation over a fluctuating barrier of potential is proposed. It involves considering separately the slow and fast components of barrier fluctuations, and it applies for any value of their correlation time $τ$. It gives exact results for the limiting values $τ\to 0$ and $τ\to \infty$, and the agreement with numerics in between is also excellent, both for dichotomic and Gaussian barrier perturbations.
cond-mat.stat-mech↗