Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
- URL: http://arxiv.org/abs/2108.08602v2
- Date: Sat, 22 Jan 2022 16:16:34 GMT
- Title: Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
- Authors: Gentaro Watanabe, Yuki Minami
- Abstract summary: Fluctuations of thermodynamic quantities become non-negligible when the system size is small.
We develop finite-time thermodynamics of fluctuations in microscopic heat engines.
- Score: 1.8275108630751837
- License: http://creativecommons.org/licenses/by/4.0/
- 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
time scale 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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