Optimizing Thermodynamic Cycles with Two Finite-Sized Reservoirs

• URL: http://arxiv.org/abs/2107.11342v3
• Date: Mon, 6 Dec 2021 03:04:32 GMT
• Title: Optimizing Thermodynamic Cycles with Two Finite-Sized Reservoirs
• Authors: Hong Yuan, Yu-Han Ma, and C. P. Sun
• Abstract summary: We study the non-equilibrium thermodynamics of a heat engine operating between two finite-sized reservoirs with well-defined temperatures. Our findings can be used to develop a general optimization scenario for thermodynamic cycles with finite-sized reservoirs in real-world circumstances.
• Score: 0.2134707644856286
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: We study the non-equilibrium thermodynamics of a heat engine operating between two finite-sized reservoirs with well-defined temperatures. Within the linear response regime, it is found that the uniform temperature of the two reservoirs at final time $\tau$ is bounded from below by the entropy production $\sigma_{\mathrm{min}}\propto1/\tau$. We discover a general power-efficiency trade-off depending on the ratio of heat capacities ($\gamma$) of the reservoirs for the engine. And a universal efficiency at maximum average power of the engine for arbitrary $\gamma$ is obtained. For practical purposes, the operation protocol of an ideal gas heat engine to achieve the optimal performance associated with $\sigma_{\mathrm{min}}$ is demonstrated. Our findings can be used to develop an general optimization scenario for thermodynamic cycles with finite-sized reservoirs in real-world circumstances.

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