| Autor: |
Chen YH; School of Physics, Peking University, Beijing 100871, China., Chen JF; School of Physics, Peking University, Beijing 100871, China.; Beijing Computational Science Research Center, Beijing 100193, China.; Graduate School of China Academy of Engineering Physics, No. 10 Xibeiwang East Road, Haidian District, Beijing 100193, China., Fei Z; Graduate School of China Academy of Engineering Physics, No. 10 Xibeiwang East Road, Haidian District, Beijing 100193, China., Quan HT; School of Physics, Peking University, Beijing 100871, China.; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.; Frontiers Science Center for Nano-optoelectronics, Peking University, Beijing 100871, China. |
| Abstrakt: |
The Curzon-Ahlborn (CA) efficiency, as the efficiency at the maximum power (EMP) of the endoreversible Carnot engine, has significant impact on finite-time thermodynamics. However, the CA engine is based on many assumptions. In the past few decades, although a lot of efforts have been made, a microscopic theory of the CA engine is still lacking. By adopting the method of the stochastic differential equation of energy, we formulate a microscopic theory of the CA engine realized with a highly underdamped Brownian particle in a class of nonharmonic potentials. This theory gives microscopic interpretation of all assumptions made by Curzon and Ahlborn. In other words, we find a microscopic counterpart of the CA engine in stochastic thermodynamics. Also, based on this theory, we derive the explicit expression of the protocol associated with the maximum power for any given efficiency, and we obtain analytical results of the power and the efficiency statistics for the Brownian CA engine. Our research brings new perspectives to experimental studies of finite-time microscopic heat engines featured with fluctuations. |
