数学物理学报 ›› 2011, Vol. 31 ›› Issue (6): 1683-1696.

• 论文 • 上一篇    下一篇

非平衡开放系统的第二类涨落-耗散定理与熵增率

余明保   

  1. 407 Oak Tree Square Athens Georgia 30606 USA
  • 收稿日期:2008-11-12 修回日期:2011-09-17 出版日期:2011-12-25 发布日期:2011-12-25

The Second Fluctuation-Dissipation Theorem and Entropy Production Rate of a Nonequilibrium Open System

 YU Ming-Bao   

  1. 407 Oak Tree Square Athens Georgia 30606 USA
  • Received:2008-11-12 Revised:2011-09-17 Online:2011-12-25 Published:2011-12-25

摘要:

该文用含时投影算子方法讨论非平衡开放系统. 其环境并非热库并且在开系的影响下线性偏离其初始状态. 文中假定体系的宏观统计算符具有广义正则形式, 导出了开系的输运方程, 第二类涨落-耗散定理及熵增率, 并把它们用无规力和相互作用无规力涨落的量子关联函数表出. 若环境为热库, 则两者均可纳入伏泰拉方程体系.

关键词: 非平衡开系, 投影算子, 第二类涨落-耗散定理, 熵增率

Abstract:

A nonequilibrium open system is studied in  the time-dependent projection operator formalism. Its environment is not a reservoir and may linearly deviate from its initial state under the influence of the system. By assuming the relevant statistical operator of the open system to be a generalized canonical one, the transport equation, the second Fluctuation-Dissipation theorem and the entropy production rate of the open system are derived and expressed in terms of correlation functions of fluctuations of inner random forces and interaction random
forces. If the environment is a reservoir,  then they can be cast into the Volterra equation formalism.

Key words: Non equilibrium open system, Projection operator, The second Fluctuation-Dissipation theorem, Entropy production rate

中图分类号: 

  • 82C10