几何形状的热机，功率随效率增长而增长
Geometric Heat Engines Featuring Power that Grows with Efficiency
摘要：
热力学对热机的效率有限制，但对它们的输出功率或功率和效率如何随发动机的循环时间变化没有限制。在这篇手稿中，我们开发了一个几何描述的功率和效率作为循环时间的函数，适用于一类重要的热机模型。该几何描述用于设计在快速驱动极限下获得最大功率和最大效率的发动机协议。此外，利用这种方法，我们还证明了，没有协议可以精确地达到卡诺效率在非零功率。
英文摘要：
Thermodynamics places a limit on the efficiency of heat engines, but not on their output power or on how the power and efficiency change with the engine's cycle time. In this manuscript, we develop a geometrical description of the power and efficiency as a function of the cycle time, applicable to an important class of heat engine models. This geometrical description is used to design engine protocols that attain both the maximal power and maximal efficiency at the fast driving limit. Furthermore, using this method we also prove that no protocol can exactly attain the Carnot efficiency at non-zero power.
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