| Local stability analysis of a low-dissipation cyclic refrigerator |
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| 作者姓名： | Kai Li Jie Lin Jian-Hui Wang |
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| 作者单位： | Department of Physics;State Key Laboratory of Surface Physics and Department of Physics |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant No.11875034);the Opening Project of Shanghai Key Laboratory of Artificial Microstructure Material and Technology. |
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| 摘 要： | We study the local stability near the maximum figure of merit for the low-dissipation cyclic refrigerator,where the irreversible dissipation occurs not only in the thermal contacts but also the adiabatic strokes.We find that the bounds of the coefficient of performance at a maximum figure of merit or maximum cooling rate in the presence of internal dissipation are identical to those in the corresponding absence of internal dissipation.Using two different scenarios,we prove the existence of a single stable steady state for the refrigerator,and clarify the role of internal dissipation on the stability of the thermodynamic steady state,showing that the speed of system evolution to the steady state decreases due to internal dissipation.
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| 关 键 词： | local stability system dynamics low dissipation cyclic refrigerator |
| 收稿时间： | 2021-10-06 |
Local stability analysis of a low-dissipation cyclic refrigerator* |
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| Kai Li,Jie Lin,Jian-Hui Wang.Local stability analysis of a low-dissipation cyclic refrigerator[J].Communications in Theoretical Physics,2022,74(1):15602. |
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| Authors: | Kai Li Jie Lin Jian-Hui Wang |
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| Institution: | 1.Department of Physics, Nanchang University, Nanchang 330031, China;2.State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China |
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| Abstract: | We study the local stability near the maximum figure of merit for the low-dissipation cyclic refrigerator, where the irreversible dissipation occurs not only in the thermal contacts but also the adiabatic strokes. We find that the bounds of the coefficient of performance at a maximum figure of merit or maximum cooling rate in the presence of internal dissipation are identical to those in the corresponding absence of internal dissipation. Using two different scenarios, we prove the existence of a single stable steady state for the refrigerator, and clarify the role of internal dissipation on the stability of the thermodynamic steady state, showing that the speed of system evolution to the steady state decreases due to internal dissipation. |
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| Keywords: | local stability system dynamics low dissipation cyclic refrigerator |
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