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Compatibility of Carnot efficiency and finite power in an underdamped Brownian Carnot cycle
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| Title: | Compatibility of Carnot efficiency and finite power in an underdamped Brownian Carnot cycle |
| Other Titles: | Underdamped Brown粒子CarnotサイクルにおけるCarnot効率と有限のパワーの両立について |
| Authors: | 三浦, 孝祐1 Browse this author |
| Authors(alt): | Miura, Kosuke1 |
| Issue Date: | 24-Mar-2022 |
| Publisher: | Hokkaido University |
| Abstract: | Heat engines are indispensable equipment in our modern society converting supplied heat into output work. Many efforts have been conducted to improve their performance in various scientific and engineering fields. The efficiency defined as the ratio of the work to the supplied heat and the power defined as the work per unit time are often used to characterize their performance. Carnot demonstrated that the efficiency of any heat engine is limited by the upper bound called the Carnot efficiency which is achievable in the quasistatical operation. Although there are many attempt to achieve the Carnot efficiency in the finite-power heat engines, it is proven that there is a trade-off relation between the efficiency and power in the heat engines described by the Markov process. The trade-off relation says that the power vanishes when the efficiency approaches the Carnot efficiency. On the other hand, the possibility of the compatibility of the Carnot efficiency and finite power without breaking the trade-off relation by focusing on relaxation times of a system is proposed. However, complicated dependency of the efficiency, power, and trade-off relation between them on the relaxation times of the system makes the feasibility of the scenario non-trivial. In this thesis, we consider the possibility of the Carnot efficiency in the finite-power underdamped Brownian Carnot cycle based on the trade-off relation in the system. We first introduce the previous research of the linear irreversible heat engine as the motivation for our research. We consider the stochastic process to describe the fluctuating system and show that there exists the trade-off relation between the efficiency and power in the heat engines described by the Markov process, based on another previous research. We consider the Brownian dynamics and construct the Carnot cycle with the instantaneous adiabatic process. In the cycle, the Carnot efficiency is compatible with the finite power in the small temperature-difference regime in the vanishing limit of the relaxation times without breaking the trade-off relation. We also consider the Brownian Carnot cycle with the finite-time adiabatic process and show that the Carnot efficiency is compatible with the finite power in the arbitrary temperature difference in the vanishing limit of the relaxation times. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第14780号 |
| Degree Level: | 博士 |
| Degree Discipline: | 理学 |
| Examination Committee Members: | (主査) 教授 根本 幸児, 教授 北 孝文, 教授 小田 研 |
| Degree Affiliation: | 理学院（物性物理学専攻） |
| Type: | theses (doctoral) |
| URI: | http://hdl.handle.net/2115/89186 |
| Appears in Collections: | 課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)
学位論文 (Theses) > 博士 （理学）
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