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热力学的闭环方法。

Closed-loop approach to thermodynamics.

作者信息

Goupil C, Ouerdane H, Herbert E, Benenti G, D'Angelo Y, Lecoeur Ph

机构信息

Laboratoire Interdisciplinaire des Energies de Demain, LIED/CNRS UMR 8236 Université Paris Diderot, Bât. Lamarck B 35 rue Hélène Brion 75013 Paris, France.

Russian Quantum Center, 100 Novaya Street, Skolkovo, Moscow Region 143025, Russia.

出版信息

Phys Rev E. 2016 Sep;94(3-1):032136. doi: 10.1103/PhysRevE.94.032136. Epub 2016 Sep 29.

Abstract

We present the closed-loop approach to linear nonequilibrium thermodynamics considering a generic heat engine dissipatively connected to two temperature baths. The system is usually quite generally characterized by two parameters: the output power P and the conversion efficiency η, to which we add a third one, the working frequency ω. We establish that a detailed understanding of the effects of the dissipative coupling on the energy conversion process requires only knowing two quantities: the system's feedback factor β and its open-loop gain A_{0}, which product A_{0}β characterizes the interplay between the efficiency, the output power, and the operating rate of the system. By raising the abstract hermodynamic analysis to a higher level, the feedback loop approach provides a versatile and economical, hence fairly efficient, tool for the study of any conversion engine operation for which a feedback factor can be defined.

摘要

我们提出了一种线性非平衡热力学的闭环方法,该方法考虑了一个与两个温度浴耗散连接的通用热机。通常,该系统由两个参数相当普遍地表征:输出功率P和转换效率η,我们再添加第三个参数,即工作频率ω。我们确定,要详细理解耗散耦合对能量转换过程的影响,只需要知道两个量:系统的反馈因子β及其开环增益A₀,其乘积A₀β表征了系统效率、输出功率和运行速率之间的相互作用。通过将抽象的热力学分析提升到更高水平,反馈回路方法为研究任何可以定义反馈因子的转换发动机运行提供了一种通用且经济、因而相当有效的工具。

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