Fundamental Bounds on First Passage Time Fluctuations for Currents

Todd Gingrich, Jordan M. Horowitz

Research output: Contribution to journalArticlepeer-review

70 Scopus citations


Current is a characteristic feature of nonequilibrium systems. In stochastic systems, these currents exhibit fluctuations constrained by the rate of dissipation in accordance with the recently discovered thermodynamic uncertainty relation. Here, we derive a conjugate uncertainty relationship for the first passage time to accumulate a fixed net current. More generally, we use the tools of large-deviation theory to simply connect current fluctuations and first passage time fluctuations in the limit of long times and large currents. With this connection, previously discovered symmetries and bounds on the large-deviation function for currents are readily transferred to first passage times.

Original languageEnglish (US)
Article number170601
JournalPhysical review letters
Issue number17
StatePublished - Oct 24 2017

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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