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

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.

8 pages, 3 figures, match the published version

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• Deciphering black hole phase transitions through photon spheres
• Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent
• Kramer's Escape Rate and Phase Transition Dynamics in AdS Black Holes
• Thermodynamic bounce effect in quantum BTZ black hole
• Topology of black hole thermodynamics: A brief review
• The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases
• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions