大学物理 ›› 2010, Vol. 29 ›› Issue (2): 1-1.

• 著者文摘 •    下一篇

理想量子气体的尺度效应

苏国珍 陈金灿   

  1. 厦门大学物理学系,福建厦门361005
  • 出版日期:2010-02-25 发布日期:2010-02-20

Finite-size effects in ideal quantum gas

  • Online:2010-02-25 Published:2010-02-20

摘要: 根据欧拉-麦克劳林(Euler-MacLaurin)公式,导出有限理想量子气体的热力学量表达式,揭示系统尺度和边界形状对其性质的影响.结果表明,有限尺度效应导致了一系列与热力学极限条件下不同的性质特征,如系统的非广延性和压强的各向异性等.

关键词: 理想量子气体, 有限尺度效应, 热力学性质

Abstract: Based on the Euler-MacLaurin formula, the expressions of thermodynamic quantities of a finite-size ideal quantum gas are derived and the effects of the size of the system and the shape of the boundary are revealed. It is shown that the finite-size effects result in several novel characteristics such as the non-extensively of the system, the anisotropy of the pressure, and so on, which are different from those obtained under the thermodynamic limit condition.

Key words: ideal quantum gas, finite-size effect, thermodynamic property

中图分类号: 

  • O414.2