Fundamental Bounds on First Passage Time Fluctuations for Currents
Name
PhysRevLett.119.170601.pdf
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15.5 MB
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Adobe PDF
Checksum (MD5)
35f6aeb2c35745b4f627e4425950cbfa
Author(s)
Gingrich, Todd R.
Horowitz, Jordan M.
Date Issued
October 2017
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Gingrich, Todd R. and Horowitz, Jordan M. "Fundamental Bounds on First Passage Time Fluctuations for Currents." Physical Review Letters 119, 17 (October 2017): 170601 © 2017 American Physical Society
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.119.170601
