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Overdamped Langevin dynamics

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For weak noise $D$ in a one-dimensional potential $\phi$, escape from a minimum $m$ across a neighboring maximum $M$ occurs at leading rate
$$
k=\frac{\sqrt{|\phi''(m)\phi''(M)|}}{2\pi}
e^{-[\phi(M)-\phi(m)]/D}.
$$


Kramers escape rate

Activation barriers of the Adler phase equation

Forward-backward bias of phase slips

Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 75 / 3 / b / Solution

Quantum escape of a current-biased Josephson junction

Thermally activated phase slip

Kramers escape rate

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Kramers escape rate

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