Abstract
Phase transition is a core content of black hole thermodynamics. This study adopted the 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 AdS black hole.
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Funding
This work was supported by the National Natural Science Foundation of China (Grant Nos. 12105222, 12275216, and 12247103), and the Double First-class University Construction Project of Northwest University.
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Xu, ZM., Wu, B. & Yang, WL. Rate of the phase transition for a charged anti-de Sitter black hole. Sci. China Phys. Mech. Astron. 66, 240411 (2023). https://doi.org/10.1007/s11433-022-2022-6
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DOI: https://doi.org/10.1007/s11433-022-2022-6