An Eyring–Kramers law for slowly oscillating bistable diffusions

We consider two-dimensional stochastic differential equations, describing the motion of a slowly and periodically forced overdamped particle in double-well potential, subjected to weak additive noise. give sharp asymptotics Eyring-Kramers type for expected transition time from one potential well other one. Our results cover range forcing frequencies that are large with respect maximal rate between wells unforced system. The main difficulty analysis is system non-reversible, so standard methods theory used obtain laws reversible diffusions do not apply. Instead, we use by Landim, Mariani Seo extend potential-theoretic approach non-reversible systems.