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Chin. Phys. B, 2012, Vol. 21(6): 060501    DOI: 10.1088/1674-1056/21/6/060501
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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)
College of Science, China University of Petroleum (East China), Qingdao 266555, China
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.
Keywords:  Fermi gas      relativity      stability  
Received:  17 October 2011      Revised:  22 November 2011      Accepted manuscript online: 
PACS:  05.30.-d (Quantum statistical mechanics)  
  71.10.Ca (Electron gas, Fermi gas)  
  51.30.+i (Thermodynamic properties, equations of state)  
Fund: 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).
Corresponding Authors:  Men Fu-Dian     E-mail:  menfudian@163.com

Cite this article: 

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) The stability of a non-extensive relativistic Fermi system 2012 Chin. Phys. B 21 060501

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