Statistical Biophysics Blog: “Proof ” of the Hill Relation Between Probability Flux and Mean First- Passage Time
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Universal equivalence of mean first-passage time and Kramers rate.
We prove that for an arbitrary time-homogeneous stochastic process, Kramers's flux-over-population rate is identical to the inverse of the associated mean first-passage time. In this way the mean first-passage time problem can be treated without making use of the adjoint equation in conjunction with cumbersome boundary conditions.
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