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Exact model of the power-to-efficiency trade-off while approaching the Carnot limit

机译：接近卡诺极限时的功率效率比的精确模型

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摘要

The Carnot heat engine sets an upper bound on the efficiency of a heat engine. As an ideal, reversible engine, a single cycle must be performed in infinite time, and so the Carnot engine has zero power. However, there is nothing, in principle, forbidding the existence of a heat engine whose efficiency approaches that of Carnot while maintaining finite power. Such an engine must have very special properties, some of which have been discussed in the literature, in various limits. While recent theorems rule out a large class of engines from maintaining finite power at exactly the Carnot efficiency, the approach to the limit still merits close study. Presented here is an exactly solvable model of such an approach that may serve as a laboratory for exploration of the underlying mechanisms. The equations of state have their origins in the extended thermodynamics of electrically charged black holes.
机译：卡诺热机为热机的效率设定了上限。作为理想的可逆发动机，必须在无限时间内执行单个循环，因此卡诺发动机的功率为零。但是，从原则上讲，没有任何东西可以阻止热机的存在，其效率接近卡诺的同时又保持有限的功率。这样的发动机必须具有非常特殊的特性，其中一些已经在文献中讨论过，并且具有各种限制。尽管最近的定理排除了一大类发动机无法以卡诺效率精确地维持有限的功率，但达到极限的方法仍然值得进一步研究。这里介绍的是这种方法的一个完全可解决的模型，可以作为探索潜在机制的实验室。状态方程的起源是带电黑洞的扩展热力学。

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