中国物理B ›› 2012, Vol. 21 ›› Issue (9): 90501-090501.doi: 10.1088/1674-1056/21/9/090501

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Failure of free energy relation under non-Markovian heat bath temperature change

曹亮a, Michael Crossb, 郑志刚a   

  1. a Department of Physics, Beijing Normal University, Beijing 100875, China;
    b Department of Physics, California Institute of Technology, Pasadena CA 91125, USA
  • 收稿日期:2012-03-20 修回日期:2012-05-24 出版日期:2012-08-01 发布日期:2012-08-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10875011 and 11075016), the National Basic Research Program of China (Grant No. 2007CB814805), the Fundamental Research Funds for the Central Universities of China (Grant No. 201001), and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100003110007).

Failure of free energy relation under non-Markovian heat bath temperature change

Cao Liang (曹亮)a, Michael Crossb, Zheng Zhi-Gang (郑志刚)a   

  1. a Department of Physics, Beijing Normal University, Beijing 100875, China;
    b Department of Physics, California Institute of Technology, Pasadena CA 91125, USA
  • Received:2012-03-20 Revised:2012-05-24 Online:2012-08-01 Published:2012-08-01
  • Contact: Zheng Zhi-Gang E-mail:zgzheng@bnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10875011 and 11075016), the National Basic Research Program of China (Grant No. 2007CB814805), the Fundamental Research Funds for the Central Universities of China (Grant No. 201001), and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100003110007).

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摘要： We investigate the free energy relation for a system contacting with a non-Markovian heat bath and find that the validity of the relation sensitively depends on the non-Markovian memory effect, which is especially related to the initial preparation effect. This memory effect drives the statistical distribution of the system out of the initial preparation, even if the system starts from an equilibrium state. This leads to the violation of the free energy relation. A possible way of eliminating this memory effect is proposed.

关键词: free energy relation, non-Markovian heat bath, initial preparation effect

Abstract: We investigate the free energy relation for a system contacting with a non-Markovian heat bath and find that the validity of the relation sensitively depends on the non-Markovian memory effect, which is especially related to the initial preparation effect. This memory effect drives the statistical distribution of the system out of the initial preparation, even if the system starts from an equilibrium state. This leads to the violation of the free energy relation. A possible way of eliminating this memory effect is proposed.

Key words: free energy relation, non-Markovian heat bath, initial preparation effect

中图分类号:  (Classical statistical mechanics)

  • 05.20.-y
05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 05.70.Ln (Nonequilibrium and irreversible thermodynamics)