大学物理 ›› 2012, Vol. 31 ›› Issue (8): 1-1.

• 著者文摘 •    下一篇

非平衡功与自由能差的关系

包景东   

  1. 北京师范大学物理系,北京100875
  • 出版日期:2012-08-25 发布日期:2012-08-20

The relation between nonequilibrium work and free-energy difference

  • Online:2012-08-25 Published:2012-08-20

摘要: 以一个受迫谐振子为对象证明了Jarzynski等式,即两平衡态的自由能差可以用它们之间非平衡功的指数平均来表示,这里两个态的转换是在有限时间完成的.当外部驱动力是一个周期信号时,发现外界对系统所做的广义功存在一个共振现象.

关键词: 广义功, 自由能差, 受迫谐振子, 共振

Abstract: The relation between nonequilibrium work and free-energy difference, i. e. , the Jarzynski equality is proved by using a forced harmonic oscillator, in wich the free-energy difference between two equilibrium states can be calculated by the exponential averaging of generalized work. This process is performed during a finite time. Moreover, we find a dynamical resonance of average work or dissipative energy can become maximum if the external driving force is regarded as a periodic signal.

Key words: generalized work, free-energy difference, forced oscillator, resonance

中图分类号: 

  • O414