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
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.