Proof of the finite-time thermodynamic uncertainty relation for steady-state currents

Jordan M. Horowitz, Todd Gingrich

Research output: Contribution to journalArticle

72 Scopus citations

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.

Original languageEnglish (US)
Article number020103
JournalPhysical Review E
Volume96
Issue number2
DOIs
StatePublished - Aug 25 2017

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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