Efficiency statistics of a quantum Otto cycle

نویسندگان

چکیده

The stochastic efficiency [G. Verley et al., Nat. Commun. 5, 4721 (2014)] was introduced to evaluate the performance of energy-conversion machines in micro-scale. However, such an generally diverges when no heat is absorbed while work produced a thermodynamic cycle. As result, any statistical moments do not exist. In this study, we come up with different version definition for which always finite. Its mean value equal conventional efficiency, and higher characterize fluctuations addition, fluctuation theorems are re-expressed via efficiency. For working substance satisfying equipartition theorem, clarify that uncertainty relation valid Otto engine. To demonstrate our general discussions, statistics quantum harmonic-oscillator engine systematically investigated. probability surpasses Carnot explicitly obtained. This may shed new insight optimizing micro-machines fluctuations.

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ژورنال

عنوان ژورنال: Physical review

سال: 2022

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physreva.105.022609