Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
Statistical Mechanics
2017-08-30 v2
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.
Keywords
Cite
@article{arxiv.1707.03805,
title = {Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents},
author = {Jordan M. Horowitz and Todd R. Gingrich},
journal= {arXiv preprint arXiv:1707.03805},
year = {2017}
}
Comments
3 pages