中国物理B ›› 2020, Vol. 29 ›› Issue (1): 10501-010501.doi: 10.1088/1674-1056/ab592d

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Fluctuation theorem for entropy production at strong coupling

Y Y Xu(徐酉阳), J Liu(刘娟), M Feng(冯芒)   

  1. 1 Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China;
    2 Faculty of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming 650500, China;
    3 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
    4 School of Physics and Microelectronics, Zhengzhou University, Zhengzhou 450001, China
  • 收稿日期:2019-08-05 修回日期:2019-11-20 出版日期:2020-01-05 发布日期:2020-01-05
  • 通讯作者: Y Y Xu, M Feng E-mail:xyynx1981@gmail.com;mangfeng@wipm.ac.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11674360, 11734018, 11835011, and 11965012) and the Applied Basic Research Project of Yunnan Province, China (Grant No. 2017FB004).

Fluctuation theorem for entropy production at strong coupling

Y Y Xu(徐酉阳)1, J Liu(刘娟)2, M Feng(冯芒)3,4   

  1. 1 Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China;
    2 Faculty of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming 650500, China;
    3 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
    4 School of Physics and Microelectronics, Zhengzhou University, Zhengzhou 450001, China
  • Received:2019-08-05 Revised:2019-11-20 Online:2020-01-05 Published:2020-01-05
  • Contact: Y Y Xu, M Feng E-mail:xyynx1981@gmail.com;mangfeng@wipm.ac.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11674360, 11734018, 11835011, and 11965012) and the Applied Basic Research Project of Yunnan Province, China (Grant No. 2017FB004).

摘要: Fluctuation theorems have been applied successfully to any system away from thermal equilibrium, which are helpful for understanding the thermodynamic state evolution. We investigate fluctuation theorems for strong coupling between a system and its reservoir, by path-dependent definition of work and heat satisfying the first law of thermodynamics. We present the fluctuation theorems for two kinds of entropy productions. One is the informational entropy production, which is always non-negative and can be employed in either strong or weak coupling systems. The other is the thermodynamic entropy production, which differs from the informational entropy production at strong coupling by the effects regarding the reservoir. We find that, it is the negative work on the reservoir, rather than the nonequilibrium of the thermal reservoir, which invalidates the thermodynamic entropy production at strong coupling. Our results indicate that the effects from the reservoir are essential to understanding thermodynamic processes at strong coupling.

关键词: fluctuation theorem, entropy production, strong coupling

Abstract: Fluctuation theorems have been applied successfully to any system away from thermal equilibrium, which are helpful for understanding the thermodynamic state evolution. We investigate fluctuation theorems for strong coupling between a system and its reservoir, by path-dependent definition of work and heat satisfying the first law of thermodynamics. We present the fluctuation theorems for two kinds of entropy productions. One is the informational entropy production, which is always non-negative and can be employed in either strong or weak coupling systems. The other is the thermodynamic entropy production, which differs from the informational entropy production at strong coupling by the effects regarding the reservoir. We find that, it is the negative work on the reservoir, rather than the nonequilibrium of the thermal reservoir, which invalidates the thermodynamic entropy production at strong coupling. Our results indicate that the effects from the reservoir are essential to understanding thermodynamic processes at strong coupling.

Key words: fluctuation theorem, entropy production, strong coupling

中图分类号:  (Thermodynamics)

  • 05.70.-a
05.70.Ln (Nonequilibrium and irreversible thermodynamics)