Thermodynamic phase transition and winding number for the third-order Lovelock black hole  

作　　者：Yu-Shan Wang Zhen-Ming Xu Bin Wu 王玉珊;许震明;吴滨(School of Physics,Northwest University,Xi'an 710127,China;Shaanxi Key Laboratory for Theoretical Physics Frontiers,Xi'an 710127,China;Peng Huanwu Center for Fundamental Theory,Xi'an 710127,China)

机构地区：[1]School of Physics,Northwest University,Xi'an 710127,China [2]Shaanxi Key Laboratory for Theoretical Physics Frontiers,Xi'an 710127,China [3]Peng Huanwu Center for Fundamental Theory,Xi'an 710127,China

出　　处：《Chinese Physics C》2024年第9期188-198,共11页中国物理C（英文版）

基　　金：Supported by the National Natural Science Foundation of China (12105222, 12275216, 12247103)。

摘　　要：Phase transition is important for understanding the nature and evolution of the black hole thermodynamic system.In this study,we predicted the phase transition of the third-order Lovelock black hole using the winding numbers in complex analysis,and qualitatively validated this prediction by the generalized free energy.For the 7<d<12-dimensional black holes in hyperbolic topology and the 7-dimensional black hole in spherical topology,the winding number obtained is three,which indicates that the system undergoes first-order and second-order phase transitions.For the 7<d<12-dimensional black holes in spherical topology,the winding number is four,and two scenarios of phase transitions exist,one involving a purely second-order phase transition and the other involving simultaneous first-order and second-order phase transitions.This result further deepens the research on black hole phase transitions using the complex analysis.

关 键 词：black hole thermodynamics Lovelock black hole phase transition 

分 类 号：P145.8[天文地球—天体物理]