Thermodynamic Geometry of Microscopic Heat Engines
Thermodynamic Geometry of Microscopic Heat Engines
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DOI：
10.1103/physrevlett.124.040602
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发表时间：
2020-01-29
影响因子：
8.6
通讯作者：
Saito, Keiji
中科院分区：
文献类型：
--
作者：
Brandner, Kay;Saito, Keiji
我们开发了一个通用框架来描述由任意周期性温度变化和机械控制参数调制驱动的微观热机的热力学。在慢速驾驶状态下，我们的方法导致了效率和功率之间的普遍权衡关系，该关系仅根据几何参数得出，并且适用于任何热力学一致的微观动力学。着眼于林德布拉德动力学，我们得出了第二个界限，表明相干性作为真正的量子效应不可避免地会降低慢速发动机循环的性能，无论驱动幅度如何。为了展示我们的理论如何应用于实践，我们提出了一个具体的例子，该例子属于当前固态技术的范围。
We develop a general framework to describe the thermodynamics of microscopic heat engines driven by arbitrary periodic temperature variations and modulations of a mechanical control parameter. Within the slow-driving regime, our approach leads to a universal trade-off relation between efficiency and power, which follows solely from geometric arguments and holds for any thermodynamically consistent microdynamics. Focusing on Lindblad dynamics, we derive a second bound showing that coherence as a genuine quantum effect inevitably reduces the performance of slow engine cycles regardless of the driving amplitudes. To show how our theory can be applied in practice, we work out a specific example, which lies within the range of current solid-state technologies.