Work extremum principle: Structure and function of quantum heat engines
Work extremum principle: Structure and function of quantum heat engines
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DOI：
10.1103/physreve.77.041118
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发表时间：
2008-04-01
影响因子：
2.4
通讯作者：
Mahler, Guenter
中科院分区：
文献类型：
--
作者：
Allahverdyan, Armen E.;Johal, Ramandeep S.;Mahler, Guenter
本文考虑一类量子热机，它由两个与工作源相互作用的子系统组成，并耦合到两个不同温度的热浴中。发动机的目的是由于温差而提取功。它的动力学并不局限于近平衡状态。在各种约束条件下，通过最大化提取的功来确定发动机结构。当这种最大化是在有限功率下进行时，发动机动态由明确定义的温度描述，并满足第二定律的局部版本。此外，其效率从下到上由Curzon-Ahlborn值1-root T-c/T-h和卡诺值1-（T-c/T-h）限定。对于宏观发动机，后者在有限功率下达到，而前者在平衡极限Th下达到。TC.使功率最大化的效率严格大于Curzon-Ahloborn值。当功在零功率下最大化时，即使是小的（几级）发动机也能以卡诺效率提取功。
We consider a class of quantum heat engines consisting of two subsystems interacting with a work-source and coupled to two separate baths at different temperatures T-h > T-c. The purpose of the engine is to extract work due to the temperature difference. Its dynamics is not restricted to the near equilibrium regime. The engine structure is determined by maximizing the extracted work under various constraints. When this maximization is carried out at finite power, the engine dynamics is described by well-defined temperatures and satisfies the local version of the second law. In addition, its efficiency is bounded from below by the Curzon-Ahlborn value 1-root T-c/T-h and from above by the Carnot value 1-(T-c/T-h). The latter is reached - at finite power - for a macroscopic engine, while the former is achieved in the equilibrium limit Th. Tc. The efficiency that maximizes the power is strictly larger than the Curzon-Ahloborn value. When the work is maximized at a zero power, even a small (few-level) engine extracts work right at the Carnot efficiency.