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  • Letter
  • Open Access

Thermodynamic inference of correlations in nonequilibrium collective dynamics

Michalis Chatzittofi1, Ramin Golestanian1,2,*, and Jaime Agudo-Canalejo1,3,†

  • *Contact author: ramin.golestanian@ds.mpg.de
  • †Contact author: j.agudo-canalejo@ucl.ac.uk
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Phys. Rev. Research 6, L042012 – Published 11 October, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L042012

Abstract

The theory of stochastic thermodynamics has revealed many useful fluctuation relations, with the thermodynamic uncertainty relation (TUR) being a theorem of major interest. When many nonequilibrium currents interact with each other, a naive application of the TUR to an individual current can result in an apparent violation of the TUR bound. Here, we explore how such an apparent violation can be used to put a lower bound on the strength of correlations C as well as the number N of interacting currents in collective dynamics. This lower bound is a combined bound on C(N−1) if only one current is measured, or a bound on N if two currents are measured. Our proposed protocol allows for the inference of hidden correlations in experiment, for example when a team of molecular motors pulls on the same cargo but only one or a subset of them is fluorescently tagged. By solving analytically and numerically several models of many-body nonequilibrium dynamics, we ascertain under which conditions this strategy can be applied and the inferred bound on correlations becomes tight.

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Information

Phys. Rev. Research 6, L042012– Published 11 October, 2024
  • Received 23 August 2024
  • Accepted 30 September 2024
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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. Open access publication funded by Max Planck Society.

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