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Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states
by Izaak Neri
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Submission summary
| Authors (as registered SciPost users): | Izaak Neri |
| Submission information | |
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| Preprint Link: | scipost_202103_00027v3 (pdf) |
| Date accepted: | 2022-04-12 |
| Date submitted: | 2022-02-09 21:23 |
| Submitted by: | Neri, Izaak |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
Author comments upon resubmission
List of changes
The following changes have been implemented:
*) some steps in the derivation of (3) that are based on large deviation theory have been simplified, which leads to a better understanding of (3). In particular, it is shown that (3) follows directly from (19), and there is no need to study the first-passage times at the negative boundary.
*) the derivation of formula (49) has been detailed in Appendix E
Published as SciPost Phys. 12, 139 (2022)