中国物理B ›› 2012, Vol. 21 ›› Issue (6): 60501-060501.doi: 10.1088/1674-1056/21/6/060501

• GENERAL • 上一篇    下一篇

The stability of a non-extensive relativistic Fermi system

王海堂, 门福殿, 何晓刚, 隗群梅   

  1. College of Science, China University of Petroleum (East China), Qingdao 266555, China
  • 收稿日期:2011-10-17 修回日期:2011-11-22 出版日期:2012-05-01 发布日期:2012-05-01
  • 基金资助:
    Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. 10CX04039A) and the Natural Science Foundation of Shandong Province, China (Grant No. ZR2010AL027).

The stability of a non-extensive relativistic Fermi system

Wang Hai-Tang(王海堂), Men Fu-Dian(门福殿)†, He Xiao-Gang(何晓刚), and Wei Qun-Mei(隗群梅)   

  1. College of Science, China University of Petroleum (East China), Qingdao 266555, China
  • Received:2011-10-17 Revised:2011-11-22 Online:2012-05-01 Published:2012-05-01
  • Contact: Men Fu-Dian E-mail:menfudian@163.com
  • Supported by:
    Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. 10CX04039A) and the Natural Science Foundation of Shandong Province, China (Grant No. ZR2010AL027).

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摘要： Based on the statistical theory of non-extensive relativity, and using theoretical analysis and numerical simulation, the non-extensive mechanical stability of ultra-relativistic free Fermi gas is investigated. The expressions of the stability conditions under high and low temperatures are given, and the mechanisms of the influences of temperature, ultra-relativistic effect, and non-extensive parameter q on stability are analysed. Our results show that at high temperature and under the condition of q<1, the stability of a non-extensive system is weaker than that of an extensive system, and the relativistic effect reduces system stability as compared with a non-relativistic system. However, under the condition of q>1, the stability of the non-extensive system is stronger than that of the extensive system, and the relativistic effect strengthens the system stability as compared with the non-relativistic system. In addition, under the condition of low temperature, the variation of the stability of the non-extensive system with temperature has a turning point.

关键词: Fermi gas, relativity, stability

Abstract: Based on the statistical theory of non-extensive relativity, and using theoretical analysis and numerical simulation, the non-extensive mechanical stability of ultra-relativistic free Fermi gas is investigated. The expressions of the stability conditions under high and low temperatures are given, and the mechanisms of the influences of temperature, ultra-relativistic effect, and non-extensive parameter q on stability are analysed. Our results show that at high temperature and under the condition of q<1, the stability of a non-extensive system is weaker than that of an extensive system, and the relativistic effect reduces system stability as compared with a non-relativistic system. However, under the condition of q>1, the stability of the non-extensive system is stronger than that of the extensive system, and the relativistic effect strengthens the system stability as compared with the non-relativistic system. In addition, under the condition of low temperature, the variation of the stability of the non-extensive system with temperature has a turning point.

Key words: Fermi gas, relativity, stability

中图分类号:  (Quantum statistical mechanics)

  • 05.30.-d
71.10.Ca (Electron gas, Fermi gas) 51.30.+i (Thermodynamic properties, equations of state)