Proof of the finite-time thermodynamic uncertainty relation for steady-state currents
The thermodynamic uncertainty relation offers a universal energetic constraint on the relative magnitude of current fluctuations in nonequilibrium steady states. However, it has only been derived for long observation times. Here, we prove a recently conjectured finite-time thermodynamic uncertainty...
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/113865 https://orcid.org/0000-0002-9139-0811 |
| _version_ | 1811083237607342080 |
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| author | Horowitz, Jordan M. Gingrich, Todd R. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Horowitz, Jordan M. Gingrich, Todd R. |
| author_sort | Horowitz, Jordan M. |
| collection | MIT |
| description | The thermodynamic uncertainty relation offers a universal energetic constraint on the relative magnitude of current fluctuations in nonequilibrium steady states. However, it has only been derived for long observation times. Here, we prove a recently conjectured finite-time thermodynamic uncertainty relation for steady-state current fluctuations. Our proof is based on a quadratic bound to the large deviation rate function for currents in the limit of a large ensemble of many copies. |
| first_indexed | 2024-09-23T12:28:47Z |
| format | Article |
| id | mit-1721.1/113865 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:28:47Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1138652022-10-01T09:20:11Z Proof of the finite-time thermodynamic uncertainty relation for steady-state currents Horowitz, Jordan M. Gingrich, Todd R. Massachusetts Institute of Technology. Department of Physics Horowitz, Jordan M. Gingrich, Todd R. The thermodynamic uncertainty relation offers a universal energetic constraint on the relative magnitude of current fluctuations in nonequilibrium steady states. However, it has only been derived for long observation times. Here, we prove a recently conjectured finite-time thermodynamic uncertainty relation for steady-state current fluctuations. Our proof is based on a quadratic bound to the large deviation rate function for currents in the limit of a large ensemble of many copies. Gordon and Betty Moore Foundation (Grant GBMF4513) 2018-02-22T18:02:46Z 2018-02-22T18:02:46Z 2017-08 2017-07 2017-11-14T22:46:26Z Article http://purl.org/eprint/type/JournalArticle 2470-0045 2470-0053 http://hdl.handle.net/1721.1/113865 Horowitz, Jordan M., and Todd R. Gingrich. “Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents.” Physical Review E, vol. 96, no. 2, Aug. 2017. © 2017 American Physical Society https://orcid.org/0000-0002-9139-0811 en http://dx.doi.org/10.1103/PhysRevE.96.020103 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Horowitz, Jordan M. Gingrich, Todd R. Proof of the finite-time thermodynamic uncertainty relation for steady-state currents |
| title | Proof of the finite-time thermodynamic uncertainty relation for steady-state currents |
| title_full | Proof of the finite-time thermodynamic uncertainty relation for steady-state currents |
| title_fullStr | Proof of the finite-time thermodynamic uncertainty relation for steady-state currents |
| title_full_unstemmed | Proof of the finite-time thermodynamic uncertainty relation for steady-state currents |
| title_short | Proof of the finite-time thermodynamic uncertainty relation for steady-state currents |
| title_sort | proof of the finite time thermodynamic uncertainty relation for steady state currents |
| url | http://hdl.handle.net/1721.1/113865 https://orcid.org/0000-0002-9139-0811 |
| work_keys_str_mv | AT horowitzjordanm proofofthefinitetimethermodynamicuncertaintyrelationforsteadystatecurrents AT gingrichtoddr proofofthefinitetimethermodynamicuncertaintyrelationforsteadystatecurrents |