相对论q形变理想费米气体的低温热力学统计性质(英文)  

Thermostatistic properties of a relativistic q-deformed ideal Fermi gas at low temperatures

作　　者：刘慧[1] 门福殿[2] 章毛连[1] 王玉连[1,3] 

机构地区：[1]安徽科技学院理学院,蚌埠233100 [2]中国石油大学(华东)物理科学与技术学院,东营257061 [3]浙江大学理学院,杭州310027

出　　处：《四川大学学报（自然科学版）》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)

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.

关 键 词：热力学统计性质 Q形变 相对论 费米气体 

分 类 号：O414.2[理学—理论物理] O562.2[理学—物理]