论文标题
量子谐波奥托引擎和冰箱的性能分析在权衡的权衡数字下
Performance analysis of quantum harmonic Otto engine and refrigerator under a trade-off figure of merit
论文作者
论文摘要
我们研究了量子奥托发动机的最佳性能和在绝热和非绝热（突然 - 突然）频率调制的优点折叠率下，时间依赖的谐波振荡器的制冷周期的最佳性能。对于热发动机（冰箱），绩效的选择权衡数字是由效率（性能系数）和工作输出（冷却负载）的乘积定义的目标函数，从而代表了它们之间的妥协。我们获得了分析表达式，以谐波周期的效率和系数在各种操作方面的最佳性能。特别是，在突然开关方案中，我们讨论了非绝热驾驶对正在考虑的热机的性能的含义，并获得了分析表达式，以最大程度地达到可实现的效率和谐波奥托热机的性能。此外，通过对选定的权衡目标功能运行的热发动机进行详细的比较分析，其中一个以最大的工作输出运行，我们表明，权衡目标功能仅对绝热驾驶具有可取的操作，而对于突然的转换操作，选择权衡目标功能的选择并没有太大的差异，因为该发动机的性能由摩擦力效应占主导地位。
We investigate the optimal performance of quantum Otto engine and refrigeration cycles of a time-dependent harmonic oscillator under a trade-off figure of merit for both adiabatic and nonadiabatic (sudden-switch) frequency modulations. For heat engine (refrigerator), the chosen trade-off figure of merit is an objective function defined by the product of efficiency (coefficient of performance) and work output (cooling load), thus representing a compromise between them. We obtain analytical expressions for the efficiency and coefficient of performance of the harmonic Otto cycle for the optimal performance of the thermal machine in various operational regimes. Particularly, in the sudden-switch regime, we discuss the implications of the nonadiabatic driving on the performance of the thermal machine under consideration, and obtain analytic expressions for the maximum achievable efficiency and coefficient of performance of the harmonic Otto thermal machine. Further, by carrying out a detailed comparative analysis of the heat engine operating under the chosen trade-off objective function with one operating at maximum work output, we show that the trade-off objective functions have desirable operation only for the adiabatic driving whereas for the sudden switch operation, the choice of a trade-off objective function does not make much difference as the performance of the engine is dominated by frictional effects.
