环面黑洞的热力学函数  

Thermodynamic functions of toroidal black holes

作　　者：管韵 王波波[1] Guan Yun;Wang Bo-Bo(School of Science,Beijing Jiaotong University,Beijing 100044,China;School of Space Science and Physics,Shandong University,Weihai 264209,China)

机构地区：[1]北京交通大学理学院,北京100044 [2]山东大学(威海)空间科学与物理学院,威海264209

出　　处：《物理学报》2022年第11期10-16,共7页Acta Physica Sinica

摘　　要：本文把宇宙学常数看成与压强相当的动力学变量,研究了环面黑洞的热力学函数.计算得到环面黑洞的状态方程,环面黑洞的Smarr关系.然后通过计算其欧氏作用量得到了吉布斯函数,并进一步求得环面黑洞的自由能、内能和热力学焓,以及环面黑洞的定压热容和定容热容.结果表明:环面黑洞没有范德瓦耳斯型的相变.环面黑洞的定压热容大于零,定容热容等于零,故是一个稳定的热力学系统.The thermodynamic functions of toroidal black holes are investigated in this paper by taking the cosmological constant as a dynamic variable equivalent to the pressure.The equation of state and the Smarr relation of a toroidal black hole are given.Then,the Gibbs function is obtained by calculating the Euclidian action.Further we study other thermodynamic functions of the toroidal black hole,such as free energy,internal energy,and thermodynamic enthalpy.The heat capacity of the toroidal black hole at constant pressure and constant volume is obtained.The results show that toroidal black holes have no van der Waals type phase transition.Toroidal black hole is a stable thermodynamic system because its heat capacity at constant pressure is greater than zero and its heat capacity at constant volume is equal to zero.

关 键 词：黑洞热力学 环面黑洞 扩展的相空间 

分 类 号：P145.8[天文地球—天体物理]