The stability of a non-extensive relativistic Fermi system

• Published in: Chinese physics B Vol. 21; no. 6; pp. 71 - 76
• Main Author: 王海堂 门福殿 何晓刚 隗群梅
• Format: Journal Article
• Language: English
• Published: 01.06.2012
• Subjects: Computer simulation; Mathematical models; Relativistic effects; Relativity; Stability; Systems stability; Turning; 数值模拟; 机械稳定性; 温度; 相对论效应; 相对论系统; 统计理论; 费米气体; 非相对论
• ISSN: 1674-1056; 2058-3834; 1741-4199
• DOI: 10.1088/1674-1056/21/6/060501

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.