Proof of the finite-time thermodynamic uncertainty relation for steady-state currents
Name
PhysRevE.96.020103.pdf
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100.65 KB
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Adobe PDF
Checksum (MD5)
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Author(s)
Horowitz, Jordan M.
Gingrich, Todd R.
Date Issued
August 2017
Journal
Physical Review E
Publisher
American Physical Society
Citation
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
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.96.020103
