稳态热力发动机的功率，效率和波动,Physical Review E

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稳态热力发动机的功率，效率和波动
Physical Review E ( IF 2.2 ) Pub Date : 2020-10-19 , DOI: 10.1103/physreve.102.040103
Giuliano Benenti , Giulio Casati , Jiao Wang

我们考虑质量因素

问

，它量化了动态系统建模的稳态热机的功率，效率和波动之间的权衡。我们证明了非线性散射理论在经典力学和量子力学中都设定了界

问 = 3 / 8

达到卡诺效率时。另一方面，相互作用的，不可集成的和动量守恒的系统可以实现价值

问 = 1个 / 2

，这是线性响应的通用上限。该结果表明相互作用是实现稳态热力发动机最佳性能所必需的。

"点击查看英文标题和摘要"

Power, efficiency, and fluctuations in steady-state heat engines

We consider the quality factor

Q

, which quantifies the trade-off between power, efficiency, and fluctuations in steady-state heat engines modeled by dynamical systems. We show that the nonlinear scattering theory, in both classical and quantum mechanics, sets the bound

Q = 3 / 8

when approaching the Carnot efficiency. On the other hand, interacting, nonintegrable, and momentum-conserving systems can achieve the value

Q = 1 / 2

, which is the universal upper bound in linear response. This result shows that interactions are necessary to achieve the optimal performance of a steady-state heat engine.

更新日期：2020-10-19

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