Bounds on fluctuations for finite-time quantum Otto cycle
| Autor: | Bijay Kumar Agarwalla, Sushant Saryal |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Work (thermodynamics) Condensed Matter - Mesoscale and Nanoscale Physics Statistical Mechanics (cond-mat.stat-mech) Mathematical analysis FOS: Physical sciences 01 natural sciences Upper and lower bounds Square (algebra) 010305 fluids & plasmas law.invention Otto engine law Qubit Mesoscale and Nanoscale Physics (cond-mat.mes-hall) 0103 physical sciences Working fluid Otto cycle 010306 general physics Condensed Matter - Statistical Mechanics Harmonic oscillator |
| Zdroj: | Physical review. E. 103(6) |
| ISSN: | 2470-0053 |
| Popis: | For finite-time quantum Otto heat engine with working fluid consisting of either a (i) qubit or (ii) a harmonic oscillator, we show that the relative fluctuation of output work is always greater than the corresponding relative fluctuation of input heat absorbed from the hot bath. As a result, the ratio between the work fluctuation and the input heat fluctuation receives a lower bound in terms of the square value of the average efficiency of the engine. The saturation of the lower bound is received in the quasi-static limit of the engine and can be shown for a class of working fluids that follow a scale-invariant energy eigenspectra under driving. Comment: 8 pages, 3 figures |
| Databáze: | OpenAIRE |
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