中国物理B ›› 2012, Vol. 21 ›› Issue (6): 60501-060501.doi: 10.1088/1674-1056/21/6/060501
王海堂, 门福殿, 何晓刚, 隗群梅
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)
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.
中图分类号: (Quantum statistical mechanics)