Proof of the finite-time thermodynamic uncertainty relation for steady-state currents
Author(s)Horowitz, Jordan M.; Gingrich, Todd R.
MetadataShow full item record
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.
DepartmentMassachusetts Institute of Technology. Department of Physics
Physical Review E
American Physical Society
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
Final published version