• Open Access

Nonmonotonic skewness of currents in nonequilibrium steady states

Sreekanth K. Manikandan, Biswajit Das, Avijit Kundu, Raunak Dey, Ayan Banerjee, and Supriya Krishnamurthy
Phys. Rev. Research 4, 043067 – Published 31 October 2022

Abstract

Measurements of any property of a microscopic system are bound to show significant deviations from the average, due to thermal fluctuations. For time-integrated currents such as heat, work, or entropy production in a steady state, it is in fact known that there will be long stretches of fluctuations both above as well as below the average, occurring equally likely at large times. In this paper we demonstrate that for any finite-time measurement in a nonequilibrium steady state—rather counterintuitively—fluctuations below the average are more probable. This discrepancy is found to be higher when the system is further away from equilibrium. For overdamped diffusive processes, there is even an optimal time when time-integrated current fluctuations mostly lie below the average. We demonstrate that these effects are consistent with a nonmonotonic skewness of current fluctuations and provide evidence that they are easily observable in experiments. We also discuss their extensions to discrete space Markov jump processes and implications to biological and synthetic microscopic engines.

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  • Received 9 February 2022
  • Revised 18 August 2022
  • Accepted 8 September 2022

DOI:https://doi.org/10.1103/PhysRevResearch.4.043067

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Sreekanth K. Manikandan1,*,†, Biswajit Das2,†, Avijit Kundu2,†, Raunak Dey2, Ayan Banerjee2,‡, and Supriya Krishnamurthy3,§

  • 1NORDITA, KTH Royal institute of technology and Stockholm university, Stockholm SE-10691, Sweden
  • 2Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, Mohanpur, West Bengal 741246, India
  • 3Department of Physics, Stockholm university, Stockholm SE-10691, Sweden

  • *sreekanth.km@fysik.su.se
  • These authors contributed equally.
  • ayan@iiserkol.ac.in
  • §Electronic address: supriya@fysik.su.se

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Vol. 4, Iss. 4 — October - December 2022

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