Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866916591007956992 |
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| author | Neri, Izaak |
| author_facet | Neri, Izaak |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_15007 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states Neri, Izaak Statistical Mechanics 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. |
| title | Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2103.15007 |