Rate of the phase transition for a charged anti-de Sitter black hole  

作　　者：Zhen-Ming Xu Bin Wu Wen-Li Yang 

机构地区：[1]School of Physics,Northwest University,Xi'an 710127,China [2]Institute of Modern Physics,Northwest University,Xi'an 710127,China [3]Shaanxi Key Laboratory for Theoretical Physics Frontiers,Xi'an 710127,China [4]Peng Huanwu Center for Fundamental Theory,Xi'an 710127,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2023年第4期61-66,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 12105222, 12275216, and 12247103);the Double First-class University Construction Project of Northwest University。

摘　　要：Phase transition is a core content of black hole thermodynamics. This study adopted Kramer’s escape rate method for describing the Brownian motion of particles in an external field to investigate the intensity of the phase transition between small and large black hole states. Some existing studies mostly focused on the formal analysis of the thermodynamic phase transition of black holes, but they neglected the detailed description of the phase transition process. Our results show that the phase transition between small and large black holes for charged anti-de Sitter(AdS) black holes presents serious asymmetric features, and the overall process is dominated by the transition from a small black hole to a large black hole. This study filled a research gap of a stochastic process analysis on the issue of the first-order phase transition rate in the Ad S black hole.

关 键 词：black hole thermodynamics phase transition thermal potential Kramer’s escape rate 

分 类 号：P145.8[天文地球—天体物理]