The dissipation-time uncertainty relation

We show that the dissipation rate bounds the rate at which physical processes can be performed in stochastic systems far from equilibrium. Namely, for rare processes we prove the fundamental tradeoff $langle dot S_text{e} rangle mathcal{T} geq k_{text{B}} $ between the entropy flow $langle dot S_text{e} rangle$ into the reservoirs and the mean time $mathcal{T}$ to complete a process. This dissipation-time uncertainty relation is a novel form of speed limit: the smaller the dissipation, the larger the time to perform a process.