中国物理B ›› 2017, Vol. 26 ›› Issue (3): 30501-030501.doi: 10.1088/1674-1056/26/3/030501

• GENERAL • 上一篇    下一篇

Rapidly calculating the partition function of macroscopic systems

Jing-Tian Li(李菁田), Bo-Yuan Ning(宁博元), Le-Cheng Gong(龚乐诚), Jun Zhuang(庄军), Xi-Jing Ning(宁西京)   

  1. 1 Institute of Modern Physics, Department of Nuclear Science and Technology, Fudan University, Shanghai 200433, China;
    2 Department of Optical Science and Engineering, Fudan University, Shanghai 200433, China
  • 收稿日期:2016-09-04 修回日期:2016-12-05 出版日期:2017-03-05 发布日期:2017-03-05
  • 通讯作者: Xi-Jing Ning E-mail:xjning@fudan.edu.cn
  • 基金资助:

    Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20130071110018) and the National Natural Science Foundation of China (Grant No. 11274073).

Rapidly calculating the partition function of macroscopic systems

Jing-Tian Li(李菁田)1, Bo-Yuan Ning(宁博元)2, Le-Cheng Gong(龚乐诚)1, Jun Zhuang(庄军)2, Xi-Jing Ning(宁西京)1   

  1. 1 Institute of Modern Physics, Department of Nuclear Science and Technology, Fudan University, Shanghai 200433, China;
    2 Department of Optical Science and Engineering, Fudan University, Shanghai 200433, China
  • Received:2016-09-04 Revised:2016-12-05 Online:2017-03-05 Published:2017-03-05
  • Contact: Xi-Jing Ning E-mail:xjning@fudan.edu.cn
  • Supported by:

    Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20130071110018) and the National Natural Science Foundation of China (Grant No. 11274073).

摘要:

It has remained an open problem to accurately compute the partition function of macroscopic systems since the establishment of statistical physics. A rapid method approaching this problem was presented and was strictly tested by molecular dynamic (MD) simulations on Ar atoms in both dense gaseous and liquid states. The outcomes from the method on the internal energy and the work of isothermal expansion (and therefore the free energy) are in good agreement with the MD simulations, suggesting the method would be immediately applied in vast areas.

关键词: partition function, statistical physics, free energy calculation

Abstract:

It has remained an open problem to accurately compute the partition function of macroscopic systems since the establishment of statistical physics. A rapid method approaching this problem was presented and was strictly tested by molecular dynamic (MD) simulations on Ar atoms in both dense gaseous and liquid states. The outcomes from the method on the internal energy and the work of isothermal expansion (and therefore the free energy) are in good agreement with the MD simulations, suggesting the method would be immediately applied in vast areas.

Key words: partition function, statistical physics, free energy calculation

中图分类号:  (Classical ensemble theory)

  • 05.20.Gg
05.20.Jj (Statistical mechanics of classical fluids) 02.70.Ns (Molecular dynamics and particle methods)