Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states
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 inequa...
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| Format: | Article |
| Language: | English |
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SciPost
2022-04-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.12.4.139 |
| _version_ | 1818278308979146752 |
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| author | Izaak Neri |
| author_facet | Izaak Neri |
| author_sort | Izaak Neri |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T23:15:23Z |
| format | Article |
| id | doaj.art-a932c2a8238e42e592a547635df29c83 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-12T23:15:23Z |
| publishDate | 2022-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-a932c2a8238e42e592a547635df29c832022-12-22T00:08:28ZengSciPostSciPost Physics2542-46532022-04-0112413910.21468/SciPostPhys.12.4.139Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary statesIzaak NeriWe 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.https://scipost.org/SciPostPhys.12.4.139 |
| spellingShingle | Izaak Neri Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states SciPost Physics |
| title | Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states |
| title_full | Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states |
| title_fullStr | Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states |
| title_full_unstemmed | Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states |
| title_short | Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states |
| title_sort | universal tradeoff relation between speed uncertainty and dissipation in nonequilibrium stationary states |
| url | https://scipost.org/SciPostPhys.12.4.139 |
| work_keys_str_mv | AT izaakneri universaltradeoffrelationbetweenspeeduncertaintyanddissipationinnonequilibriumstationarystates |