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 qq>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.
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 qq>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.
基金资助: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).
引用本文:
王海堂,门福殿,何晓刚等. The stability of a non-extensive relativistic Fermi system[J]. , 2012, 21(1): 60501-060501.
WANG Hai-Tang,MEN Fu-Dian,HE Xiao-Gang et al. The stability of a non-extensive relativistic Fermi system[J]. Journal of Marketing Science, 2012, 21(1): 60501-060501.
Gupta H M, Campanha J R and Pesce R A G 2005 Brazil. J. Phys. 35 981
[2]
Holandda A J, Pisa I T, Kinouchi O, Martinez A S and Ruiz E E S 2004 Physica 344 530
[3]
Andrade R F S and Phino S T R 2005 Phys. Rev. E 71 026126
[4]
Nobre F D and Tsallis C 2004 Physica A 344 587
[5]
Chen J C, Zhang Z P, Su G Z, Chen L X and Shu Y G 2002 Phys. Lett. A 300 65
[6]
Ou C J and Chen J C 2003 Phys. Rev. E 68 026123
[7]
Ou C J and Chen J C 2005 Eur. Phys. J. 43 271
[8]
Ou C J and Chen J C 2005 Phys. Lett. A 342 107
[9]
Ou C J, Chen J C and Wang Q A 2006 Chaos, Solitons & Fractals 28 518
[10]
Ou C J and Chen J C 2006 Physica A 370 525
[11]
Wang H T, Men F D, He X G and Wei Q M 2012 Journal of Sichuan University 49 862 (in Chinese)
[12]
Modugno G, Roati G, Riboli F, Ferlaino F, Brecha R J and Inguscio M 2002 Science 297 2240
[13]
Amusia M Y, Msezane A Z and Shaginyan V R 2002 Phys. Lett. A 293 205
[14]
Yan D Q 2006 Acta. Phys. Sin. 55 3912 (in Chinese)
[15]
Men F D and Liu H 2006 Chin. Phys. 15 2856
[16]
Ou C J 2006 "Four Basic Problems in Non-extensive Statistical Physics and the Thermodynamic Properties of Generalized Quantum Gases" Ph. D. Dissertation Xiamen University (in Chinese)
