球对称时空中的费米子壳层  

The Fermionic Shells in Spherically Symmetric Space-Time

作　　者：张华 卫高峰 ZHANG Hua;WEI Gaofeng(Guizhou Normal University,School of Physical and Electronic Sciences,Guizhou Guiyang 550081,China)

机构地区：[1]贵州师范大学物理与电子科学学院,贵州贵阳550081

出　　处：《江西师范大学学报（自然科学版）》2024年第1期63-68,共6页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11965008)资助项目.

摘　　要：该文运用统计力学方法研究了内表面位于施瓦西黑洞视界附近的具有普朗克长度的费米子壳层的热力学性质.根据费米子巨配分函数的定义式,通过对协变相空间体积的计算,得到了费米子的巨配分函数的具体表达式,由此在弯曲时空中发现了在非零温度下费米子会出现凝聚现象.通过分析Schwarzschild黑洞视界附近费米子气体的熵发现,它表现出类似于Bekenstein-Hawking熵的面积依赖性.当把这些推向D+1维球对称静态时空时,以上结论仍然成立.这些结果为黑洞热力学的研究提供了新的视角.The thermodynamic properties of fermionic shells with planck-length inner surfaces near from the Schwarzschild black hole horizon are studied by means of statistical mechanics.From the fermion giant partition function definition,the concrete expression of the giant partition function is obtained through the calculation of covariant space volume.It is found that fermions condenses at non-zero temperatures in curved spacetime.By analyzing the entropy of fermionic gas near the Schwarzschild black hole event horizon,it exhibits an area dependence similar to entropy.Is is also true when applied to(D+1)-dimensional spherically symmetric static spacetime.These results provide a new perspective for the study of black hole thermodynamics.

关 键 词：施瓦西黑洞 费米子 熵 

分 类 号：O414[理学—理论物理]