The stability of a non-extensive relativistic Fermi system

doi:10.1088/1674-1056/21/6/060501

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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