中国物理B ›› 2008, Vol. 17 ›› Issue (9): 3236-3240.doi: 10.1088/1674-1056/17/9/015

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Thermodynamic stability of a weakly interactingFermi gas trapped in a harmonic potential

门福殿1, 朱后禹1, 刘慧2   

  1. (1)College of Physics Science and Technology, China University of Petroleum (East China), Dongying 257061, China; (2)College of Science, Anhui Science and Technology University, Fengyang 233100, China
  • 收稿日期:2008-01-26 修回日期:2008-01-31 出版日期:2008-09-08 发布日期:2008-09-08

Thermodynamic stability of a weakly interacting Fermi gas trapped in a harmonic potential

Men Fu-Dian(门福殿)a), Liu Hui(刘慧)b), and Zhu Hou-Yu(朱后禹)a)   

  1. a College of Physics Science and Technology, China University of Petroleum (East China), Dongying 257061, China; b College of Science, Anhui Science and Technology University, Fengyang 233100, China
  • Received:2008-01-26 Revised:2008-01-31 Online:2008-09-08 Published:2008-09-08

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摘要： Based on the theoretical results derived from pseudopotential method and local approximation, this paper studies the thermodynamic stability of a weakly interacting Fermi gas trapped in a harmonic potential by using analytical method of thermodynamics. The effects of the interparticle interactions as well as external potential on the thermodynamic stability of the system are discussed. It is shown that the system is stable as for the complete average, but as for local parts, the system is unstable anywhere. This instability shows that the stability conditions of mechanics cannot be satisfied anywhere, and the stability conditions of thermostatics cannot be satisfied somewhere. In addition, the interactions and external potential have direct effects on the local stability of the system.

关键词: Fermi gas, interaction, stability

Abstract: Based on the theoretical results derived from pseudopotential method and local approximation, this paper studies the thermodynamic stability of a weakly interacting Fermi gas trapped in a harmonic potential by using analytical method of thermodynamics. The effects of the interparticle interactions as well as external potential on the thermodynamic stability of the system are discussed. It is shown that the system is stable as for the complete average, but as for local parts, the system is unstable anywhere. This instability shows that the stability conditions of mechanics cannot be satisfied anywhere, and the stability conditions of thermostatics cannot be satisfied somewhere. In addition, the interactions and external potential have direct effects on the local stability of the system.

Key words: Fermi gas, interaction, stability

中图分类号:  (Fermion systems and electron gas)

  • 05.30.Fk
03.75.Ss (Degenerate Fermi gases) 05.70.-a (Thermodynamics)