摘要
在q形变费米-狄拉克分布函数的基础上,研究了相对论q形变理想费米气体的低温热力学统计性质,得到了一些重要热力学量例如费米能,基态能,化学势,总能和热容量的解析表达式,揭示了q形变参数和相对论对系统性质的影响.结果表明:q形变导致了一些与正常的系统不同的新奇特性,另外,相对论费米系统的性质与非相对论系统的性质明显不同.
The thermostatistic properties of a relativistic q-deformed ideal Fermi gas at low temperatures are studied, based on the q-deformed Fermi-Dirac distribution. The analytical expressions for some im- portant thermodynamic quantities such as the Fermi energy, ground-state energy, chemical potential, total energy and heat capacity are derived. The effects of the deformation parameter q and relativity on the properties of the system are revealed. It is shown that q-deformation results in some novel character- istics different from those of an ordinary system. Besides, it is found that the properties of relativistic Fermi system are very different from those of nonrelativistic system.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第5期1391-1398,共8页
Journal of Sichuan University(Natural Science Edition)
基金
安徽省教育厅自然科学基金(KJ2009B056Z)
安徽科技学院引进人才基金(ZRC2008184)
关键词
热力学统计性质
Q形变
相对论
费米气体
thermostatistic property, q-deformation, relativity, Fermi gas
