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Surmounting oscillating barriers: Path-integral approach for weak noise

Surmounting oscillating barriers: Path-integral approach for weak noise

We consider the thermally activated escape of an overdamped Brownian particle over a potential barrier in the presence of periodic driving. A time-dependent path-integral formalism is developed which allows us to derive asymptotically exact weak-noise expressions for both the instantaneous and the time-averaged escape rate. Our results comprise a conceptually …