Dissipation-Time Uncertainty Relation.
@article{Falasco2020DissipationTimeUR, title={Dissipation-Time Uncertainty Relation.}, author={Gianmaria Falasco and Massimiliano Esposito}, journal={Physical review letters}, year={2020}, volume={125 12}, pages={ 120604 } }
We show that the entropy production rate bounds the rate at which physical processes can be performed in stochastic systems far from equilibrium. In particular, we prove the fundamental tradeoff ⟨S[over ˙]_{e}⟩T≥k_{B} between the entropy flow ⟨S[over ˙]_{e}⟩ into the reservoirs and the mean time T to complete any process whose time-reversed is exponentially rarer. This dissipation-time uncertainty relation is a novel form of speed limit: the smaller the dissipation, the larger the time to…
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