Phase equilibrium and microstructure of topological AdS black holes in massive gravity  

作　　者：Fang Liu Yun-Zhi Du Ren Zhao Huai-Fan Li 刘芳;杜云芝;赵仁;李怀繁(Department of Physics,Shanxi Datong University,Datong 037009,China;Insitute of Theoretical Physics,Shanxi Datong University,Datong 037009,China)

机构地区：[1]Department of Physics,Shanxi Datong University,Datong 037009,China [2]Insitute of Theoretical Physics,Shanxi Datong University,Datong 037009,China

出　　处：《Chinese Physics C》2022年第8期230-243,共14页中国物理C（英文版）

基　　金：Supported in part by the National Natural Science Foundation of China (11705106,11705107,12075143);Science and Technology Innovation Project of Shanxi Higher Education (2016173);the Doctoral Sustentation Fund of Shanxi Datong University。

摘　　要：In order to clearly understand the gravitational theory through the thermal properties of the black hole,it is important to further investigate the first-order phase transition of black holes.In this paper,we adopt different conjugate variables(P~V,T~S,C_(1)~c_(1),and C_(2)~c_(2)) and apply Maxwell's equal-area law to study the phase equilibrium of a topological black hole in massive gravity.The condition and latent heat of phase transition are displayed as well as the coexistent curve of P-T.The result shows that the phase transition of this system is the high/low electric potentials one,not only the large/small black holes one.We also analyze the effect of the model's parameters on phase transition.Furthermore we introduce a new order parameter to probe the microstructure of this system.This work will provide the theoretical basis to study the phase structure of topological black holes in massive gravity and to further explore the gravitational theory.

关 键 词：black hole first-order phase transition Maxwell's equal-area law MICROSTRUCTURE 

分 类 号：P145.8[天文地球—天体物理]