Author(s): Wang Hai-Tang, Men Fu-Dian, He Xiao-Gang, and Wei Qun-Mei College of Science, China University of Petroleum, Qingdao 266555, China
Pages: 75-80
Year: 2012 Issue:  6
Journal: Chinese Physics B
Keyword:  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,ultrarelativistic 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.