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内可逆斯特林循环:最大功率下的等离子体发动机

Endoreversible Stirling Cycles: Plasma Engines at Maximal Power.

作者信息

Behrendt Gregory, Deffner Sebastian

机构信息

Department of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USA.

Quantum Science Institute, University of Maryland, Baltimore County, Baltimore, MD 21250, USA.

出版信息

Entropy (Basel). 2025 Jul 28;27(8):807. doi: 10.3390/e27080807.

Abstract

Endoreversible engine cycles are a cornerstone of finite-time thermodynamics. We show that endoreversible Stirling engines operating with a one-component plasma as a working medium run at maximal power output with the Curzon-Ahlborn efficiency. As a main result, we elucidate that this is actually a consequence of the fact that the caloric equation of state depends only linearly on temperature and only additively on volume. In particular, neither the exact form of the mechanical equation of state nor the full fundamental relation are required. Thus, our findings immediately generalize to a larger class of working plasmas, far beyond simple ideal gases. In addition, we show that for plasmas described by the photonic equation of state, the efficiency is significantly lower. This is in stark contrast to endoreversible Otto cycles, for which photonic engines have an efficiency larger than the Curzon-Ahlborn efficiency.

摘要

内可逆发动机循环是有限时间热力学的基石。我们表明,以单组分等离子体作为工作介质运行的内可逆斯特林发动机以柯尔佐恩 - 阿尔伯恩效率运行时输出最大功率。作为主要结果,我们阐明这实际上是由于热状态方程仅线性依赖于温度且仅以加法形式依赖于体积这一事实导致的。特别地,既不需要状态的力学方程的精确形式,也不需要完整的基本关系。因此,我们的发现立即推广到更大一类的工作等离子体,远远超出简单理想气体。此外,我们表明对于由光子状态方程描述的等离子体,效率要低得多。这与内可逆奥托循环形成鲜明对比,对于光子发动机而言,内可逆奥托循环的效率大于柯尔佐恩 - 阿尔伯恩效率。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d94c/12385320/6b8474c3e04d/entropy-27-00807-g001.jpg

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