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Original publication:
| Title: | Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states |
| Author(s): | Izaak Neri |
| As Contributors: | Izaak Neri |
| Journal ref.: | SciPost Physics 12 |
| DOI: | https://doi.org/10.21468/SciPostPhys.12.4.139 |
| Date: | 2022-04-22 |
Abstract:
We derive universal thermodynamic inequalities that bound from below the moments of first-passage times of stochastic currents in nonequilibrium stationary states of Markov jump processes in the limit where the thresholds that define the first-passage problem are large. These inequalities describe a tradeoff between speed, uncertainty, and dissipation in nonequilibrium processes, which are quantified, respectively, with the moments of the first-passage times of stochastic currents, the splitting probability, and the mean entropy production rate. Near equilibrium, the inequalities imply that mean first-passage times are lower bounded by the Van't Hoff-Arrhenius law, whereas far from thermal equilibrium the bounds describe a universal speed limit for rate processes. When the current is the stochastic entropy production, then the bounds are equalities, a remarkable property that follows from the fact that the exponentiated negative entropy production is a martingale.
Izaak Neri on 2022-08-27 [id 2763]
There is an error in Equations (231), (232), (238), and (239) of Appendix E.4. Since $z^\ast<0$ the symbol $z^\ast$ in those equations should be replaced by $|z^\ast|$. This a localised typo that does not affect the rest of the paper.