中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3719-3723.doi: 10.1088/1674-1056/18/9/019

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Relativity stability of quantum gas in a weak magnetic field

门福殿1, 范召兰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, Bengbu 233100, China
  • 收稿日期:2009-01-03 修回日期:2009-02-15 出版日期:2009-09-20 发布日期:2009-09-20

Relativity stability of quantum gas in a weak magnetic field

Men Fu-Dian(门福殿)a), Liu Hui(刘慧)b), Fan Zhao-Lan(范召兰)a), 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, Bengbu 233100, China
  • Received:2009-01-03 Revised:2009-02-15 Online:2009-09-20 Published:2009-09-20

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摘要： Based on the analytical expression of relativistic free energy for a weakly interacting Fermi gas in a weak magnetic field, by using the method of quantum statistics, the stability conditions of the system at both high and low temperatures are given, and the effects of magnetic field and interparticle interactions on the stability of the system are analysed. It is shown that at high temperatures, the stability conditions of the system are completely the same, no matter whether it is the ultrarelativistic case or nonrelativistic case. At extremely low temperatures, the mechanical stability conditions of the system show a similar rule through a comparison between the ultrarelativistic case and nonrelativistic case. At the same time, thermal stability of a relativistic Bose gas in a weak magnetic field is discussed, and the influence of the effect of relativity on the thermal stability of the system is investigated.

Abstract: Based on the analytical expression of relativistic free energy for a weakly interacting Fermi gas in a weak magnetic field, by using the method of quantum statistics, the stability conditions of the system at both high and low temperatures are given, and the effects of magnetic field and interparticle interactions on the stability of the system are analysed. It is shown that at high temperatures, the stability conditions of the system are completely the same, no matter whether it is the ultrarelativistic case or nonrelativistic case. At extremely low temperatures, the mechanical stability conditions of the system show a similar rule through a comparison between the ultrarelativistic case and nonrelativistic case. At the same time, thermal stability of a relativistic Bose gas in a weak magnetic field is discussed, and the influence of the effect of relativity on the thermal stability of the system is investigated.

Key words: quantum gas, effect of relativity, stability

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

  • 05.30.Fk
05.30.Jp (Boson systems) 05.70.Ce (Thermodynamic functions and equations of state)