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)
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
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.
Received: 26 January 2008
Revised: 31 January 2008
Accepted manuscript online:
Men Fu-Dian(门福殿), Liu Hui(刘慧), and Zhu Hou-Yu(朱后禹) Thermodynamic stability of a weakly interacting Fermi gas trapped in a harmonic potential 2008 Chin. Phys. B 17 3236
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