Proof of the finite-time thermodynamic uncertainty relation for steady-state currents.
basic_science · Level V
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- Record sourced from PubMed, PMID 28950543.
- Also identified by DOI 10.1103/PhysRevE.96.020103.
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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.