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  • Letter
  • Open Access

Finite-time thermodynamics of fluctuations in microscopic heat engines

Gentaro Watanabe1,2 and Yuki Minami1

  • 1Department of Physics and Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China
  • 2Zhejiang Province Key Laboratory of Quantum Technology and Device, Zhejiang University, Hangzhou, Zhejiang 310027, China

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Phys. Rev. Research 4, L012008 – Published 31 January, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L012008

Abstract

Fluctuations of thermodynamic quantities become non-negligible and play an important role when the system size is small. We develop finite-time thermodynamics of fluctuations in microscopic heat engines whose environmental temperature and mechanical parameter are driven periodically in time. Within the slow-driving regime, this formalism universally holds in a coarse-grained timescale whose resolution is much longer than the correlation time of the fluctuations, and is shown to be consistent with the relation analogous to the fluctuation-dissipation relation. Employing a geometric argument, a scenario to simultaneously minimize both the average and fluctuation of the dissipation in the Carnot cycle is identified. For this simultaneous optimization, the existence of a zero eigenvalue of the singular metric for the scale invariant equilibrium state is found to be essential. Furthermore, we demonstrate that our optimized protocol can improve the dissipation and its fluctuation over the current experiment.

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Phys. Rev. Research 4, L012008– Published 31 January, 2022
  • Received 19 August 2021
  • Revised 15 November 2021
  • Accepted 6 January 2022
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